---
_id: '13942'
author:
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Markarian C, Meyer auf der Heide F. Online Algorithms for Leasing Vertex Cover
    and Leasing Non-metric Facility Location. In: <i>Proceedings of the 8th International
    Conference on Operations Research and Enterprise Systems</i>. SciTePress; 2019:315-321.
    doi:<a href="https://doi.org/10.5220/0007369503150321">10.5220/0007369503150321</a>'
  apa: Markarian, C., &#38; Meyer auf der Heide, F. (2019). Online Algorithms for
    Leasing Vertex Cover and Leasing Non-metric Facility Location. In <i>Proceedings
    of the 8th International Conference on Operations Research and Enterprise Systems</i>
    (pp. 315–321). SciTePress. <a href="https://doi.org/10.5220/0007369503150321">https://doi.org/10.5220/0007369503150321</a>
  bibtex: '@inproceedings{Markarian_Meyer auf der Heide_2019, title={Online Algorithms
    for Leasing Vertex Cover and Leasing Non-metric Facility Location}, DOI={<a href="https://doi.org/10.5220/0007369503150321">10.5220/0007369503150321</a>},
    booktitle={Proceedings of the 8th International Conference on Operations Research
    and Enterprise Systems}, publisher={SciTePress}, author={Markarian, Christine
    and Meyer auf der Heide, Friedhelm}, year={2019}, pages={315–321} }'
  chicago: Markarian, Christine, and Friedhelm Meyer auf der Heide. “Online Algorithms
    for Leasing Vertex Cover and Leasing Non-Metric Facility Location.” In <i>Proceedings
    of the 8th International Conference on Operations Research and Enterprise Systems</i>,
    315–21. SciTePress, 2019. <a href="https://doi.org/10.5220/0007369503150321">https://doi.org/10.5220/0007369503150321</a>.
  ieee: C. Markarian and F. Meyer auf der Heide, “Online Algorithms for Leasing Vertex
    Cover and Leasing Non-metric Facility Location,” in <i>Proceedings of the 8th
    International Conference on Operations Research and Enterprise Systems</i>, 2019,
    pp. 315–321.
  mla: Markarian, Christine, and Friedhelm Meyer auf der Heide. “Online Algorithms
    for Leasing Vertex Cover and Leasing Non-Metric Facility Location.” <i>Proceedings
    of the 8th International Conference on Operations Research and Enterprise Systems</i>,
    SciTePress, 2019, pp. 315–21, doi:<a href="https://doi.org/10.5220/0007369503150321">10.5220/0007369503150321</a>.
  short: 'C. Markarian, F. Meyer auf der Heide, in: Proceedings of the 8th International
    Conference on Operations Research and Enterprise Systems, SciTePress, 2019, pp.
    315–321.'
date_created: 2019-10-21T13:42:50Z
date_updated: 2022-01-06T06:51:47Z
department:
- _id: '63'
doi: 10.5220/0007369503150321
language:
- iso: eng
page: 315-321
project:
- _id: '1'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '5'
  name: SFB 901 - Subproject A1
publication: Proceedings of the 8th International Conference on Operations Research
  and Enterprise Systems
publisher: SciTePress
status: public
title: Online Algorithms for Leasing Vertex Cover and Leasing Non-metric Facility
  Location
type: conference
user_id: '477'
year: '2019'
...
---
_id: '13946'
author:
- first_name: Faisal N.
  full_name: Abu-Khzam, Faisal N.
  last_name: Abu-Khzam
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Pavel
  full_name: Podlipyan, Pavel
  last_name: Podlipyan
citation:
  ama: Abu-Khzam FN, Li S, Markarian C, Meyer auf der Heide F, Podlipyan P. Efficient
    parallel algorithms for parameterized problems. <i>Theoretical Computer Science</i>.
    2019;786:2-12. doi:<a href="https://doi.org/10.1016/j.tcs.2018.11.006">10.1016/j.tcs.2018.11.006</a>
  apa: Abu-Khzam, F. N., Li, S., Markarian, C., Meyer auf der Heide, F., &#38; Podlipyan,
    P. (2019). Efficient parallel algorithms for parameterized problems. <i>Theoretical
    Computer Science</i>, <i>786</i>, 2–12. <a href="https://doi.org/10.1016/j.tcs.2018.11.006">https://doi.org/10.1016/j.tcs.2018.11.006</a>
  bibtex: '@article{Abu-Khzam_Li_Markarian_Meyer auf der Heide_Podlipyan_2019, title={Efficient
    parallel algorithms for parameterized problems}, volume={786}, DOI={<a href="https://doi.org/10.1016/j.tcs.2018.11.006">10.1016/j.tcs.2018.11.006</a>},
    journal={Theoretical Computer Science}, author={Abu-Khzam, Faisal N. and Li, Shouwei
    and Markarian, Christine and Meyer auf der Heide, Friedhelm and Podlipyan, Pavel},
    year={2019}, pages={2–12} }'
  chicago: 'Abu-Khzam, Faisal N., Shouwei Li, Christine Markarian, Friedhelm Meyer
    auf der Heide, and Pavel Podlipyan. “Efficient Parallel Algorithms for Parameterized
    Problems.” <i>Theoretical Computer Science</i> 786 (2019): 2–12. <a href="https://doi.org/10.1016/j.tcs.2018.11.006">https://doi.org/10.1016/j.tcs.2018.11.006</a>.'
  ieee: F. N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, and P. Podlipyan,
    “Efficient parallel algorithms for parameterized problems,” <i>Theoretical Computer
    Science</i>, vol. 786, pp. 2–12, 2019.
  mla: Abu-Khzam, Faisal N., et al. “Efficient Parallel Algorithms for Parameterized
    Problems.” <i>Theoretical Computer Science</i>, vol. 786, 2019, pp. 2–12, doi:<a
    href="https://doi.org/10.1016/j.tcs.2018.11.006">10.1016/j.tcs.2018.11.006</a>.
  short: F.N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, P. Podlipyan,
    Theoretical Computer Science 786 (2019) 2–12.
date_created: 2019-10-21T13:57:06Z
date_updated: 2022-01-06T06:51:48Z
department:
- _id: '63'
doi: 10.1016/j.tcs.2018.11.006
intvolume: '       786'
language:
- iso: eng
page: 2-12
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subproject A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Theoretical Computer Science
status: public
title: Efficient parallel algorithms for parameterized problems
type: journal_article
user_id: '15415'
volume: 786
year: '2019'
...
---
_id: '2848'
author:
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Li S, Markarian C, Meyer auf der Heide F. Towards Flexible Demands in Online
    Leasing Problems. . <i>Algorithmica</i>. 2018;80(5):1556–1574. doi:<a href="https://doi.org/10.1007/s00453-018-0420-y">10.1007/s00453-018-0420-y</a>
  apa: Li, S., Markarian, C., &#38; Meyer auf der Heide, F. (2018). Towards Flexible
    Demands in Online Leasing Problems. . <i>Algorithmica</i>, <i>80</i>(5), 1556–1574.
    <a href="https://doi.org/10.1007/s00453-018-0420-y">https://doi.org/10.1007/s00453-018-0420-y</a>
  bibtex: '@article{Li_Markarian_Meyer auf der Heide_2018, title={Towards Flexible
    Demands in Online Leasing Problems. }, volume={80}, DOI={<a href="https://doi.org/10.1007/s00453-018-0420-y">10.1007/s00453-018-0420-y</a>},
    number={5}, journal={Algorithmica}, publisher={Springer}, author={Li, Shouwei
    and Markarian, Christine and Meyer auf der Heide, Friedhelm}, year={2018}, pages={1556–1574}
    }'
  chicago: 'Li, Shouwei, Christine Markarian, and Friedhelm Meyer auf der Heide. “Towards
    Flexible Demands in Online Leasing Problems. .” <i>Algorithmica</i> 80, no. 5
    (2018): 1556–1574. <a href="https://doi.org/10.1007/s00453-018-0420-y">https://doi.org/10.1007/s00453-018-0420-y</a>.'
  ieee: S. Li, C. Markarian, and F. Meyer auf der Heide, “Towards Flexible Demands
    in Online Leasing Problems. ,” <i>Algorithmica</i>, vol. 80, no. 5, pp. 1556–1574,
    2018.
  mla: Li, Shouwei, et al. “Towards Flexible Demands in Online Leasing Problems. .”
    <i>Algorithmica</i>, vol. 80, no. 5, Springer, 2018, pp. 1556–1574, doi:<a href="https://doi.org/10.1007/s00453-018-0420-y">10.1007/s00453-018-0420-y</a>.
  short: S. Li, C. Markarian, F. Meyer auf der Heide, Algorithmica 80 (2018) 1556–1574.
date_created: 2018-05-24T08:32:38Z
date_updated: 2022-01-06T06:58:06Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/s00453-018-0420-y
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T15:18:16Z
  date_updated: 2018-11-02T15:18:16Z
  file_id: '5298'
  file_name: TowardsFlexibleDemandsInOnline.pdf
  file_size: 600583
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T15:18:16Z
has_accepted_license: '1'
intvolume: '        80'
issue: '5'
language:
- iso: eng
page: 1556–1574
project:
- _id: '1'
  name: SFB 901
- _id: '4'
  name: SFB 901 - Project Area C
- _id: '16'
  name: SFB 901 - Subproject C4
publication: Algorithmica
publisher: Springer
status: public
title: 'Towards Flexible Demands in Online Leasing Problems. '
type: journal_article
user_id: '477'
volume: 80
year: '2018'
...
---
_id: '2849'
author:
- first_name: 'Faisal N. '
  full_name: 'Abu-Khzam, Faisal N. '
  last_name: Abu-Khzam
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Michael
  full_name: Schubert, Michael
  last_name: Schubert
citation:
  ama: Abu-Khzam FN, Markarian C, Meyer auf der Heide F, Schubert M. Approximation
    and Heuristic Algorithms for Computing Backbones in Asymmetric Ad-hoc Networks.
    <i>Theory of Computing Systems</i>. 2018. doi:<a href="https://doi.org/10.1007/s00224-017-9836-z">10.1007/s00224-017-9836-z</a>
  apa: Abu-Khzam, F. N., Markarian, C., Meyer auf der Heide, F., &#38; Schubert, M.
    (2018). Approximation and Heuristic Algorithms for Computing Backbones in Asymmetric
    Ad-hoc Networks. <i>Theory of Computing Systems</i>. <a href="https://doi.org/10.1007/s00224-017-9836-z">https://doi.org/10.1007/s00224-017-9836-z</a>
  bibtex: '@article{Abu-Khzam_Markarian_Meyer auf der Heide_Schubert_2018, title={Approximation
    and Heuristic Algorithms for Computing Backbones in Asymmetric Ad-hoc Networks},
    DOI={<a href="https://doi.org/10.1007/s00224-017-9836-z">10.1007/s00224-017-9836-z</a>},
    journal={Theory of Computing Systems}, publisher={Springer}, author={Abu-Khzam,
    Faisal N.  and Markarian, Christine and Meyer auf der Heide, Friedhelm and Schubert,
    Michael}, year={2018} }'
  chicago: Abu-Khzam, Faisal N. , Christine Markarian, Friedhelm Meyer auf der Heide,
    and Michael Schubert. “Approximation and Heuristic Algorithms for Computing Backbones
    in Asymmetric Ad-Hoc Networks.” <i>Theory of Computing Systems</i>, 2018. <a href="https://doi.org/10.1007/s00224-017-9836-z">https://doi.org/10.1007/s00224-017-9836-z</a>.
  ieee: F. N. Abu-Khzam, C. Markarian, F. Meyer auf der Heide, and M. Schubert, “Approximation
    and Heuristic Algorithms for Computing Backbones in Asymmetric Ad-hoc Networks,”
    <i>Theory of Computing Systems</i>, 2018.
  mla: Abu-Khzam, Faisal N., et al. “Approximation and Heuristic Algorithms for Computing
    Backbones in Asymmetric Ad-Hoc Networks.” <i>Theory of Computing Systems</i>,
    Springer, 2018, doi:<a href="https://doi.org/10.1007/s00224-017-9836-z">10.1007/s00224-017-9836-z</a>.
  short: F.N. Abu-Khzam, C. Markarian, F. Meyer auf der Heide, M. Schubert, Theory
    of Computing Systems (2018).
date_created: 2018-05-24T08:39:15Z
date_updated: 2022-01-06T06:58:06Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/s00224-017-9836-z
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T15:24:32Z
  date_updated: 2018-11-02T15:24:32Z
  file_id: '5301'
  file_name: ApproximationAndHeuristicAlgor.pdf
  file_size: 1371624
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T15:24:32Z
has_accepted_license: '1'
language:
- iso: eng
project:
- _id: '1'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '5'
  name: SFB 901 - Subproject A1
publication: Theory of Computing Systems
publication_identifier:
  unknown:
  - 1432-4350
publisher: Springer
status: public
title: Approximation and Heuristic Algorithms for Computing Backbones in Asymmetric
  Ad-hoc Networks
type: journal_article
user_id: '477'
year: '2018'
...
---
_id: '2850'
author:
- first_name: Heiko
  full_name: Hamann, Heiko
  last_name: Hamann
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Mostafa
  full_name: Wahby, Mostafa
  last_name: Wahby
citation:
  ama: 'Hamann H, Markarian C, Meyer auf der Heide F, Wahby M. Pick, Pack, &#38; Survive:
    Charging Robots in a Modern Warehouse based on Online Connected Dominating Sets.
    In: <i>Ninth International Conference on Fun with Algorithms (FUN)</i>. ; 2018.
    doi:<a href="https://doi.org/10.4230/LIPIcs.FUN.2018.22">10.4230/LIPIcs.FUN.2018.22</a>'
  apa: 'Hamann, H., Markarian, C., Meyer auf der Heide, F., &#38; Wahby, M. (2018).
    Pick, Pack, &#38; Survive: Charging Robots in a Modern Warehouse based on Online
    Connected Dominating Sets. In <i>Ninth International Conference on Fun with Algorithms
    (FUN)</i>. <a href="https://doi.org/10.4230/LIPIcs.FUN.2018.22">https://doi.org/10.4230/LIPIcs.FUN.2018.22</a>'
  bibtex: '@inproceedings{Hamann_Markarian_Meyer auf der Heide_Wahby_2018, title={Pick,
    Pack, &#38; Survive: Charging Robots in a Modern Warehouse based on Online Connected
    Dominating Sets}, DOI={<a href="https://doi.org/10.4230/LIPIcs.FUN.2018.22">10.4230/LIPIcs.FUN.2018.22</a>},
    booktitle={Ninth International Conference on Fun with Algorithms (FUN)}, author={Hamann,
    Heiko and Markarian, Christine and Meyer auf der Heide, Friedhelm and Wahby, Mostafa},
    year={2018} }'
  chicago: 'Hamann, Heiko, Christine Markarian, Friedhelm Meyer auf der Heide, and
    Mostafa Wahby. “Pick, Pack, &#38; Survive: Charging Robots in a Modern Warehouse
    Based on Online Connected Dominating Sets.” In <i>Ninth International Conference
    on Fun with Algorithms (FUN)</i>, 2018. <a href="https://doi.org/10.4230/LIPIcs.FUN.2018.22">https://doi.org/10.4230/LIPIcs.FUN.2018.22</a>.'
  ieee: 'H. Hamann, C. Markarian, F. Meyer auf der Heide, and M. Wahby, “Pick, Pack,
    &#38; Survive: Charging Robots in a Modern Warehouse based on Online Connected
    Dominating Sets,” in <i>Ninth International Conference on Fun with Algorithms
    (FUN)</i>, 2018.'
  mla: 'Hamann, Heiko, et al. “Pick, Pack, &#38; Survive: Charging Robots in a Modern
    Warehouse Based on Online Connected Dominating Sets.” <i>Ninth International Conference
    on Fun with Algorithms (FUN)</i>, 2018, doi:<a href="https://doi.org/10.4230/LIPIcs.FUN.2018.22">10.4230/LIPIcs.FUN.2018.22</a>.'
  short: 'H. Hamann, C. Markarian, F. Meyer auf der Heide, M. Wahby, in: Ninth International
    Conference on Fun with Algorithms (FUN), 2018.'
date_created: 2018-05-24T08:41:48Z
date_updated: 2022-01-06T06:58:07Z
ddc:
- '000'
department:
- _id: '63'
- _id: '238'
doi: 10.4230/LIPIcs.FUN.2018.22
file:
- access_level: closed
  content_type: application/pdf
  creator: feldi
  date_created: 2018-11-13T13:15:19Z
  date_updated: 2018-11-13T13:15:19Z
  file_id: '5536'
  file_name: LIPIcs-FUN-2018-22.pdf
  file_size: 554298
  relation: main_file
  success: 1
file_date_updated: 2018-11-13T13:15:19Z
has_accepted_license: '1'
language:
- iso: eng
project:
- _id: '1'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '5'
  name: SFB 901 - Subproject A1
publication: Ninth International Conference on Fun with Algorithms (FUN)
status: public
title: 'Pick, Pack, & Survive: Charging Robots in a Modern Warehouse based on Online
  Connected Dominating Sets'
type: conference
user_id: '15415'
year: '2018'
...
---
_id: '2851'
author:
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
citation:
  ama: 'Markarian C. Leasing with Uncertainty. In: <i>International Conference on
    Operations Research (OR)</i>. ; 2017. doi:<a href="https://doi.org/10.1007/978-3-319-89920-6_57">10.1007/978-3-319-89920-6_57</a>'
  apa: Markarian, C. (2017). Leasing with Uncertainty. In <i>International Conference
    on Operations Research (OR)</i>. Berlin. <a href="https://doi.org/10.1007/978-3-319-89920-6_57">https://doi.org/10.1007/978-3-319-89920-6_57</a>
  bibtex: '@inproceedings{Markarian_2017, title={Leasing with Uncertainty}, DOI={<a
    href="https://doi.org/10.1007/978-3-319-89920-6_57">10.1007/978-3-319-89920-6_57</a>},
    booktitle={International Conference on Operations Research (OR)}, author={Markarian,
    Christine}, year={2017} }'
  chicago: Markarian, Christine. “Leasing with Uncertainty.” In <i>International Conference
    on Operations Research (OR)</i>, 2017. <a href="https://doi.org/10.1007/978-3-319-89920-6_57">https://doi.org/10.1007/978-3-319-89920-6_57</a>.
  ieee: C. Markarian, “Leasing with Uncertainty,” in <i>International Conference on
    Operations Research (OR)</i>, Berlin, 2017.
  mla: Markarian, Christine. “Leasing with Uncertainty.” <i>International Conference
    on Operations Research (OR)</i>, 2017, doi:<a href="https://doi.org/10.1007/978-3-319-89920-6_57">10.1007/978-3-319-89920-6_57</a>.
  short: 'C. Markarian, in: International Conference on Operations Research (OR),
    2017.'
conference:
  end_date: Sept 8, 2017
  location: Berlin
  start_date: Sept 6, 2017
date_created: 2018-05-24T08:44:43Z
date_updated: 2022-01-06T06:58:08Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/978-3-319-89920-6_57
file:
- access_level: closed
  content_type: application/pdf
  creator: feldi
  date_created: 2018-11-13T13:16:30Z
  date_updated: 2018-11-13T13:16:30Z
  file_id: '5537'
  file_name: Markarian2018_Chapter_LeasingWithUncertainty.pdf
  file_size: 257103
  relation: main_file
  success: 1
file_date_updated: 2018-11-13T13:16:30Z
has_accepted_license: '1'
language:
- iso: eng
project:
- _id: '1'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '5'
  name: SFB 901 - Subproject A1
publication: International Conference on Operations Research (OR)
status: public
title: Leasing with Uncertainty
type: conference
user_id: '14052'
year: '2017'
...
---
_id: '82'
abstract:
- lang: eng
  text: Many graph problems such as maximum cut, chromatic number, hamiltonian cycle,
    and edge dominating set are known to be fixed-parameter tractable (FPT) when parameterized
    by the treewidth of the input graphs, but become W-hard with respect to the clique-width
    parameter. Recently, Gajarský et al. proposed a new parameter called modular-width
    using the notion of modular decomposition of graphs. They showed that the chromatic
    number problem and the partitioning into paths problem, and hence hamiltonian
    path and hamiltonian cycle, are FPT when parameterized by this parameter. In this
    paper, we study modular-width in parameterized parallel complexity and show that
    the weighted maximum clique problem and the maximum matching problem are fixed-parameter
    parallel-tractable (FPPT) when parameterized by this parameter.
author:
- first_name: Faisal N.
  full_name: Abu-Khzam, Faisal N.
  last_name: Abu-Khzam
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Pavel
  full_name: Podlipyan, Pavel
  last_name: Podlipyan
citation:
  ama: 'Abu-Khzam FN, Li S, Markarian C, Meyer auf der Heide F, Podlipyan P. Modular-Width:
    An Auxiliary Parameter for Parameterized Parallel Complexity. In: <i>Proceedings
    of the 11th International Workshop on Frontiers in Algorithmics (FAW)</i>. LNCS.
    ; 2017:139-150. doi:<a href="https://doi.org/10.1007/978-3-319-59605-1_13">10.1007/978-3-319-59605-1_13</a>'
  apa: 'Abu-Khzam, F. N., Li, S., Markarian, C., Meyer auf der Heide, F., &#38; Podlipyan,
    P. (2017). Modular-Width: An Auxiliary Parameter for Parameterized Parallel Complexity.
    In <i>Proceedings of the 11th International Workshop on Frontiers in Algorithmics
    (FAW)</i> (pp. 139–150). <a href="https://doi.org/10.1007/978-3-319-59605-1_13">https://doi.org/10.1007/978-3-319-59605-1_13</a>'
  bibtex: '@inproceedings{Abu-Khzam_Li_Markarian_Meyer auf der Heide_Podlipyan_2017,
    series={LNCS}, title={Modular-Width: An Auxiliary Parameter for Parameterized
    Parallel Complexity}, DOI={<a href="https://doi.org/10.1007/978-3-319-59605-1_13">10.1007/978-3-319-59605-1_13</a>},
    booktitle={Proceedings of the 11th International Workshop on Frontiers in Algorithmics
    (FAW)}, author={Abu-Khzam, Faisal N. and Li, Shouwei and Markarian, Christine
    and Meyer auf der Heide, Friedhelm and Podlipyan, Pavel}, year={2017}, pages={139–150},
    collection={LNCS} }'
  chicago: 'Abu-Khzam, Faisal N., Shouwei Li, Christine Markarian, Friedhelm Meyer
    auf der Heide, and Pavel Podlipyan. “Modular-Width: An Auxiliary Parameter for
    Parameterized Parallel Complexity.” In <i>Proceedings of the 11th International
    Workshop on Frontiers in Algorithmics (FAW)</i>, 139–50. LNCS, 2017. <a href="https://doi.org/10.1007/978-3-319-59605-1_13">https://doi.org/10.1007/978-3-319-59605-1_13</a>.'
  ieee: 'F. N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, and P. Podlipyan,
    “Modular-Width: An Auxiliary Parameter for Parameterized Parallel Complexity,”
    in <i>Proceedings of the 11th International Workshop on Frontiers in Algorithmics
    (FAW)</i>, 2017, pp. 139–150.'
  mla: 'Abu-Khzam, Faisal N., et al. “Modular-Width: An Auxiliary Parameter for Parameterized
    Parallel Complexity.” <i>Proceedings of the 11th International Workshop on Frontiers
    in Algorithmics (FAW)</i>, 2017, pp. 139–50, doi:<a href="https://doi.org/10.1007/978-3-319-59605-1_13">10.1007/978-3-319-59605-1_13</a>.'
  short: 'F.N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, P. Podlipyan,
    in: Proceedings of the 11th International Workshop on Frontiers in Algorithmics
    (FAW), 2017, pp. 139–150.'
date_created: 2017-10-17T12:41:07Z
date_updated: 2022-01-06T07:03:52Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/978-3-319-59605-1_13
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T15:07:35Z
  date_updated: 2018-11-02T15:07:35Z
  file_id: '5294'
  file_name: Modular-WidthAnAuxiliaryParame.pdf
  file_size: 238276
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T15:07:35Z
has_accepted_license: '1'
language:
- iso: eng
page: 139-150
project:
- _id: '1'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '5'
  name: SFB 901 - Subproject A1
publication: Proceedings of the 11th International Workshop on Frontiers in Algorithmics
  (FAW)
series_title: LNCS
status: public
title: 'Modular-Width: An Auxiliary Parameter for Parameterized Parallel Complexity'
type: conference
user_id: '477'
year: '2017'
...
---
_id: '70'
author:
- first_name: Björn
  full_name: Feldkord, Björn
  id: '22704'
  last_name: Feldkord
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Feldkord B, Markarian C, Meyer auf der Heide F. Price Fluctuations in Online
    Leasing. In: <i>Proceedings of the 11th Annual International Conference on Combinatorial
    Optimization and Applications (COCOA)</i>. ; 2017:17-31. doi:<a href="https://doi.org/10.1007/978-3-319-71147-8_2">10.1007/978-3-319-71147-8_2</a>'
  apa: Feldkord, B., Markarian, C., &#38; Meyer auf der Heide, F. (2017). Price Fluctuations
    in Online Leasing. In <i>Proceedings of the 11th Annual International Conference
    on Combinatorial Optimization and Applications (COCOA)</i> (pp. 17–31). <a href="https://doi.org/10.1007/978-3-319-71147-8_2">https://doi.org/10.1007/978-3-319-71147-8_2</a>
  bibtex: '@inproceedings{Feldkord_Markarian_Meyer auf der Heide_2017, title={Price
    Fluctuations in Online Leasing}, DOI={<a href="https://doi.org/10.1007/978-3-319-71147-8_2">10.1007/978-3-319-71147-8_2</a>},
    booktitle={Proceedings of the 11th Annual International Conference on Combinatorial
    Optimization and Applications (COCOA)}, author={Feldkord, Björn and Markarian,
    Christine and Meyer auf der Heide, Friedhelm}, year={2017}, pages={17–31} }'
  chicago: Feldkord, Björn, Christine Markarian, and Friedhelm Meyer auf der Heide.
    “Price Fluctuations in Online Leasing.” In <i>Proceedings of the 11th Annual International
    Conference on Combinatorial Optimization and Applications (COCOA)</i>, 17–31,
    2017. <a href="https://doi.org/10.1007/978-3-319-71147-8_2">https://doi.org/10.1007/978-3-319-71147-8_2</a>.
  ieee: B. Feldkord, C. Markarian, and F. Meyer auf der Heide, “Price Fluctuations
    in Online Leasing,” in <i>Proceedings of the 11th Annual International Conference
    on Combinatorial Optimization and Applications (COCOA)</i>, 2017, pp. 17–31.
  mla: Feldkord, Björn, et al. “Price Fluctuations in Online Leasing.” <i>Proceedings
    of the 11th Annual International Conference on Combinatorial Optimization and
    Applications (COCOA)</i>, 2017, pp. 17–31, doi:<a href="https://doi.org/10.1007/978-3-319-71147-8_2">10.1007/978-3-319-71147-8_2</a>.
  short: 'B. Feldkord, C. Markarian, F. Meyer auf der Heide, in: Proceedings of the
    11th Annual International Conference on Combinatorial Optimization and Applications
    (COCOA), 2017, pp. 17–31.'
date_created: 2017-10-17T12:41:05Z
date_updated: 2022-01-06T07:03:26Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/978-3-319-71147-8_2
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T15:06:13Z
  date_updated: 2018-11-02T15:06:13Z
  file_id: '5293'
  file_name: PriceFluctuationInOnlineLeasin.pdf
  file_size: 287315
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T15:06:13Z
has_accepted_license: '1'
language:
- iso: eng
page: 17 - 31
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 11th Annual International Conference on Combinatorial
  Optimization and Applications (COCOA)
status: public
title: Price Fluctuations in Online Leasing
type: conference
user_id: '477'
year: '2017'
...
---
_id: '16349'
author:
- first_name: Pavel
  full_name: Podlipyan, Pavel
  last_name: Podlipyan
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Podlipyan P, Li S, Markarian C, Meyer auf der Heide F. A Continuous Strategy
    for Collisionless Gathering. In: <i>Proceedings of the 13th International Symposium
    on Algorithms and Experiments for Wireless Networks (ALGOSENSORS)</i>. ; 2017:182-197.
    doi:<a href="https://doi.org/10.1007/978-3-319-72751-6_14 ">10.1007/978-3-319-72751-6_14
    </a>'
  apa: Podlipyan, P., Li, S., Markarian, C., &#38; Meyer auf der Heide, F. (2017).
    A Continuous Strategy for Collisionless Gathering. In <i>Proceedings of the 13th
    International Symposium on Algorithms and Experiments for Wireless Networks (ALGOSENSORS)</i>
    (pp. 182–197). <a href="https://doi.org/10.1007/978-3-319-72751-6_14 ">https://doi.org/10.1007/978-3-319-72751-6_14
    </a>
  bibtex: '@inproceedings{Podlipyan_Li_Markarian_Meyer auf der Heide_2017, title={A
    Continuous Strategy for Collisionless Gathering}, DOI={<a href="https://doi.org/10.1007/978-3-319-72751-6_14
    ">10.1007/978-3-319-72751-6_14 </a>}, booktitle={Proceedings of the 13th International
    Symposium on Algorithms and Experiments for Wireless Networks (ALGOSENSORS)},
    author={Podlipyan, Pavel and Li, Shouwei and Markarian, Christine and Meyer auf
    der Heide, Friedhelm}, year={2017}, pages={182–197} }'
  chicago: Podlipyan, Pavel, Shouwei Li, Christine Markarian, and Friedhelm Meyer
    auf der Heide. “A Continuous Strategy for Collisionless Gathering.” In <i>Proceedings
    of the 13th International Symposium on Algorithms and Experiments for Wireless
    Networks (ALGOSENSORS)</i>, 182–97, 2017. <a href="https://doi.org/10.1007/978-3-319-72751-6_14
    ">https://doi.org/10.1007/978-3-319-72751-6_14 </a>.
  ieee: P. Podlipyan, S. Li, C. Markarian, and F. Meyer auf der Heide, “A Continuous
    Strategy for Collisionless Gathering,” in <i>Proceedings of the 13th International
    Symposium on Algorithms and Experiments for Wireless Networks (ALGOSENSORS)</i>,
    2017, pp. 182–197.
  mla: Podlipyan, Pavel, et al. “A Continuous Strategy for Collisionless Gathering.”
    <i>Proceedings of the 13th International Symposium on Algorithms and Experiments
    for Wireless Networks (ALGOSENSORS)</i>, 2017, pp. 182–97, doi:<a href="https://doi.org/10.1007/978-3-319-72751-6_14
    ">10.1007/978-3-319-72751-6_14 </a>.
  short: 'P. Podlipyan, S. Li, C. Markarian, F. Meyer auf der Heide, in: Proceedings
    of the 13th International Symposium on Algorithms and Experiments for Wireless
    Networks (ALGOSENSORS), 2017, pp. 182–197.'
date_created: 2020-03-30T09:43:05Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: '10.1007/978-3-319-72751-6_14 '
language:
- iso: eng
page: 182-197
publication: Proceedings of the 13th International Symposium on Algorithms and Experiments
  for Wireless Networks (ALGOSENSORS)
status: public
title: A Continuous Strategy for Collisionless Gathering
type: conference
user_id: '15415'
year: '2017'
...
---
_id: '177'
abstract:
- lang: eng
  text: 'Efficiently parallelizable parameterized problems have been classified as
    being either in the class FPP (fixed-parameter parallelizable) or the class PNC
    (parameterized analog of NC), which contains FPP as a subclass. In this paper,
    we propose a more restrictive class of parallelizable parameterized problems called
    fixed-parameter parallel-tractable (FPPT). For a problem to be in FPPT, it should
    possess an efficient parallel algorithm not only from a theoretical standpoint
    but in practice as well. The primary distinction between FPPT and FPP is the parallel
    processor utilization, which is bounded by a polynomial function in the case of
    FPPT. We initiate the study of FPPT with the well-known k-vertex cover problem.
    In particular, we present a parallel algorithm that outperforms the best known
    parallel algorithm for this problem: using O(m) instead of O(n2) parallel processors,
    the running time improves from 4logn+O(kk) to O(k⋅log3n), where m is the number
    of edges, n is the number of vertices of the input graph, and k is an upper bound
    of the size of the sought vertex cover. We also note that a few P-complete problems
    fall into FPPT including the monotone circuit value problem (MCV) when the underlying
    graphs are bounded by a constant Euler genus.'
author:
- first_name: Faisal N.
  full_name: Abu-Khzam, Faisal N.
  last_name: Abu-Khzam
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Pavel
  full_name: Podlipyan, Pavel
  last_name: Podlipyan
citation:
  ama: 'Abu-Khzam FN, Li S, Markarian C, Meyer auf der Heide F, Podlipyan P. On the
    Parameterized Parallel Complexity and the Vertex Cover Problem. In: <i>Proceedings
    of the 10th International Conference on Combinatorial Optimization and Applications
    (COCOA)</i>. LNCS. ; 2016:477-488. doi:<a href="https://doi.org/10.1007/978-3-319-48749-6_35">10.1007/978-3-319-48749-6_35</a>'
  apa: Abu-Khzam, F. N., Li, S., Markarian, C., Meyer auf der Heide, F., &#38; Podlipyan,
    P. (2016). On the Parameterized Parallel Complexity and the Vertex Cover Problem.
    In <i>Proceedings of the 10th International Conference on Combinatorial Optimization
    and Applications (COCOA)</i> (pp. 477–488). <a href="https://doi.org/10.1007/978-3-319-48749-6_35">https://doi.org/10.1007/978-3-319-48749-6_35</a>
  bibtex: '@inproceedings{Abu-Khzam_Li_Markarian_Meyer auf der Heide_Podlipyan_2016,
    series={LNCS}, title={On the Parameterized Parallel Complexity and the Vertex
    Cover Problem}, DOI={<a href="https://doi.org/10.1007/978-3-319-48749-6_35">10.1007/978-3-319-48749-6_35</a>},
    booktitle={Proceedings of the 10th International Conference on Combinatorial Optimization
    and Applications (COCOA)}, author={Abu-Khzam, Faisal N. and Li, Shouwei and Markarian,
    Christine and Meyer auf der Heide, Friedhelm and Podlipyan, Pavel}, year={2016},
    pages={477–488}, collection={LNCS} }'
  chicago: Abu-Khzam, Faisal N., Shouwei Li, Christine Markarian, Friedhelm Meyer
    auf der Heide, and Pavel Podlipyan. “On the Parameterized Parallel Complexity
    and the Vertex Cover Problem.” In <i>Proceedings of the 10th International Conference
    on Combinatorial Optimization and Applications (COCOA)</i>, 477–88. LNCS, 2016.
    <a href="https://doi.org/10.1007/978-3-319-48749-6_35">https://doi.org/10.1007/978-3-319-48749-6_35</a>.
  ieee: F. N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, and P. Podlipyan,
    “On the Parameterized Parallel Complexity and the Vertex Cover Problem,” in <i>Proceedings
    of the 10th International Conference on Combinatorial Optimization and Applications
    (COCOA)</i>, 2016, pp. 477–488.
  mla: Abu-Khzam, Faisal N., et al. “On the Parameterized Parallel Complexity and
    the Vertex Cover Problem.” <i>Proceedings of the 10th International Conference
    on Combinatorial Optimization and Applications (COCOA)</i>, 2016, pp. 477–88,
    doi:<a href="https://doi.org/10.1007/978-3-319-48749-6_35">10.1007/978-3-319-48749-6_35</a>.
  short: 'F.N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, P. Podlipyan,
    in: Proceedings of the 10th International Conference on Combinatorial Optimization
    and Applications (COCOA), 2016, pp. 477–488.'
date_created: 2017-10-17T12:41:26Z
date_updated: 2022-01-06T06:53:17Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/978-3-319-48749-6_35
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T14:15:18Z
  date_updated: 2018-11-02T14:15:18Z
  file_id: '5266'
  file_name: OnTheParameterizedParallelComp.pdf
  file_size: 293345
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T14:15:18Z
has_accepted_license: '1'
language:
- iso: eng
page: 477-488
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 10th International Conference on Combinatorial Optimization
  and Applications (COCOA)
series_title: LNCS
status: public
title: On the Parameterized Parallel Complexity and the Vertex Cover Problem
type: conference
user_id: '477'
year: '2016'
...
---
_id: '139'
abstract:
- lang: eng
  text: 'We consider online optimization problems in which certain goods have to be
    acquired in order to provide a service or infrastructure. Classically, decisions
    for such problems are considered as final: one buys the goods. However, in many
    real world applications, there is a shift away from the idea of buying goods.
    Instead, leasing is often a more flexible and lucrative business model. Research
    has realized this shift and recently initiated the theoretical study of leasing
    models (Anthony and Gupta in Proceedings of the integer programming and combinatorial
    optimization: 12th International IPCO Conference, Ithaca, NY, USA, June 25–27,
    2007; Meyerson in Proceedings of the 46th Annual IEEE Symposium on Foundations
    of Computer Science (FOCS 2005), 23–25 Oct 2005, Pittsburgh, PA, USA, 2005; Nagarajan
    and Williamson in Discret Optim 10(4):361–370, 2013) We extend this line of work
    and suggest a more systematic study of leasing aspects for a class of online optimization
    problems. We provide two major technical results. We introduce the leasing variant
    of online set multicover and give an O(log(mK)logn)-competitive algorithm (with
    n, m, and K being the number of elements, sets, and leases, respectively). Our
    results also imply improvements for the non-leasing variant of online set cover.
    Moreover, we extend results for the leasing variant of online facility location.
    Nagarajan and Williamson (Discret Optim 10(4):361–370, 2013) gave an O(Klogn)-competitive
    algorithm for this problem (with n and K being the number of clients and leases,
    respectively). We remove the dependency on n (and, thereby, on time). In general,
    this leads to a bound of O(lmaxloglmax) (with the maximal lease length lmax).
    For many natural problem instances, the bound improves to O(K2).'
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Peter
  full_name: Kling, Peter
  last_name: Kling
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: 'Peter '
  full_name: 'Pietrzyk, Peter '
  last_name: Pietrzyk
citation:
  ama: Abshoff S, Kling P, Markarian C, Meyer auf der Heide F, Pietrzyk P. Towards
    the price of leasing online. <i>Journal of Combinatorial Optimization</i>. 2016;(4):1197--1216.
    doi:<a href="https://doi.org/10.1007/s10878-015-9915-5">10.1007/s10878-015-9915-5</a>
  apa: Abshoff, S., Kling, P., Markarian, C., Meyer auf der Heide, F., &#38; Pietrzyk,
    P. (2016). Towards the price of leasing online. <i>Journal of Combinatorial Optimization</i>,
    (4), 1197--1216. <a href="https://doi.org/10.1007/s10878-015-9915-5">https://doi.org/10.1007/s10878-015-9915-5</a>
  bibtex: '@article{Abshoff_Kling_Markarian_Meyer auf der Heide_Pietrzyk_2016, title={Towards
    the price of leasing online}, DOI={<a href="https://doi.org/10.1007/s10878-015-9915-5">10.1007/s10878-015-9915-5</a>},
    number={4}, journal={Journal of Combinatorial Optimization}, publisher={Springer},
    author={Abshoff, Sebastian and Kling, Peter and Markarian, Christine and Meyer
    auf der Heide, Friedhelm and Pietrzyk, Peter }, year={2016}, pages={1197--1216}
    }'
  chicago: 'Abshoff, Sebastian, Peter Kling, Christine Markarian, Friedhelm Meyer
    auf der Heide, and Peter  Pietrzyk. “Towards the Price of Leasing Online.” <i>Journal
    of Combinatorial Optimization</i>, no. 4 (2016): 1197--1216. <a href="https://doi.org/10.1007/s10878-015-9915-5">https://doi.org/10.1007/s10878-015-9915-5</a>.'
  ieee: S. Abshoff, P. Kling, C. Markarian, F. Meyer auf der Heide, and P. Pietrzyk,
    “Towards the price of leasing online,” <i>Journal of Combinatorial Optimization</i>,
    no. 4, pp. 1197--1216, 2016.
  mla: Abshoff, Sebastian, et al. “Towards the Price of Leasing Online.” <i>Journal
    of Combinatorial Optimization</i>, no. 4, Springer, 2016, pp. 1197--1216, doi:<a
    href="https://doi.org/10.1007/s10878-015-9915-5">10.1007/s10878-015-9915-5</a>.
  short: S. Abshoff, P. Kling, C. Markarian, F. Meyer auf der Heide, P. Pietrzyk,
    Journal of Combinatorial Optimization (2016) 1197--1216.
date_created: 2017-10-17T12:41:18Z
date_updated: 2022-01-06T06:51:46Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/s10878-015-9915-5
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T15:57:25Z
  date_updated: 2018-11-02T15:57:25Z
  file_id: '5318'
  file_name: Abshoff-TowardsThePriceOfLeasingOnline.pdf
  file_size: 654903
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T15:57:25Z
has_accepted_license: '1'
issue: '4'
language:
- iso: eng
page: ' 1197--1216'
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '4'
  name: SFB 901 - Project Area C
publication: Journal of Combinatorial Optimization
publisher: Springer
status: public
title: Towards the price of leasing online
type: journal_article
user_id: '477'
year: '2016'
...
---
_id: '143'
abstract:
- lang: eng
  text: 'We present an efficient parallel algorithm for the general Monotone Circuit
    Value Problem (MCVP) with n gates and an underlying graph of bounded genus k.
    Our algorithm generalizes a recent result by Limaye et al. who showed that MCVP
    with toroidal embedding (genus 1) is in NC when the input contains a toroidal
    embedding of the circuit. In addition to extending this result from genus 1 to
    any bounded genus k, and unlike the work reported by Limaye et al., we do not
    require a precomputed embedding to be given. Most importantly, our results imply
    that given a P-complete problem, it is possible to find an algorithm that makes
    the problem fall into NC by fixing one or more parameters. Hence, we deduce the
    interesting analogy: Fixed Parameter Parallelizable (FPP) is with respect to P-complete
    what Fixed Parameter Tractable (FPT) is with respect to NP-complete. Similar work
    that uses treewidth as parameter was also presented by Elberfeld et al. in [6].'
author:
- first_name: 'Faisal N. '
  full_name: 'Abu-Khzam, Faisal N. '
  last_name: Abu-Khzam
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Pavel
  full_name: Podlipyan, Pavel
  last_name: Podlipyan
citation:
  ama: 'Abu-Khzam FN, Li S, Markarian C, Meyer auf der Heide F, Podlipyan P. The Monotone
    Circuit Value Problem with Bounded Genus Is in NC. In: <i>Proceedings of the 22nd
    International Conference on Computing and Combinatorics (COCOON)</i>. LNCS. ;
    2016:92-102. doi:<a href="https://doi.org/10.1007/978-3-319-42634-1_8">10.1007/978-3-319-42634-1_8</a>'
  apa: Abu-Khzam, F. N., Li, S., Markarian, C., Meyer auf der Heide, F., &#38; Podlipyan,
    P. (2016). The Monotone Circuit Value Problem with Bounded Genus Is in NC. In
    <i>Proceedings of the 22nd International Conference on Computing and Combinatorics
    (COCOON)</i> (pp. 92–102). <a href="https://doi.org/10.1007/978-3-319-42634-1_8">https://doi.org/10.1007/978-3-319-42634-1_8</a>
  bibtex: '@inproceedings{Abu-Khzam_Li_Markarian_Meyer auf der Heide_Podlipyan_2016,
    series={LNCS}, title={The Monotone Circuit Value Problem with Bounded Genus Is
    in NC}, DOI={<a href="https://doi.org/10.1007/978-3-319-42634-1_8">10.1007/978-3-319-42634-1_8</a>},
    booktitle={Proceedings of the 22nd International Conference on Computing and Combinatorics
    (COCOON)}, author={Abu-Khzam, Faisal N.  and Li, Shouwei and Markarian, Christine
    and Meyer auf der Heide, Friedhelm and Podlipyan, Pavel}, year={2016}, pages={92–102},
    collection={LNCS} }'
  chicago: Abu-Khzam, Faisal N. , Shouwei Li, Christine Markarian, Friedhelm Meyer
    auf der Heide, and Pavel Podlipyan. “The Monotone Circuit Value Problem with Bounded
    Genus Is in NC.” In <i>Proceedings of the 22nd International Conference on Computing
    and Combinatorics (COCOON)</i>, 92–102. LNCS, 2016. <a href="https://doi.org/10.1007/978-3-319-42634-1_8">https://doi.org/10.1007/978-3-319-42634-1_8</a>.
  ieee: F. N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, and P. Podlipyan,
    “The Monotone Circuit Value Problem with Bounded Genus Is in NC,” in <i>Proceedings
    of the 22nd International Conference on Computing and Combinatorics (COCOON)</i>,
    2016, pp. 92–102.
  mla: Abu-Khzam, Faisal N., et al. “The Monotone Circuit Value Problem with Bounded
    Genus Is in NC.” <i>Proceedings of the 22nd International Conference on Computing
    and Combinatorics (COCOON)</i>, 2016, pp. 92–102, doi:<a href="https://doi.org/10.1007/978-3-319-42634-1_8">10.1007/978-3-319-42634-1_8</a>.
  short: 'F.N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, P. Podlipyan,
    in: Proceedings of the 22nd International Conference on Computing and Combinatorics
    (COCOON), 2016, pp. 92–102.'
date_created: 2017-10-17T12:41:19Z
date_updated: 2022-01-06T06:51:57Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/978-3-319-42634-1_8
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T14:20:45Z
  date_updated: 2018-11-02T14:20:45Z
  file_id: '5269'
  file_name: TheMonotoneCircuitValueProblem.pdf
  file_size: 234587
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T14:20:45Z
has_accepted_license: '1'
language:
- iso: eng
page: 92-102
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 22nd International Conference on Computing and Combinatorics
  (COCOON)
series_title: LNCS
status: public
title: The Monotone Circuit Value Problem with Bounded Genus Is in NC
type: conference
user_id: '477'
year: '2016'
...
---
_id: '266'
abstract:
- lang: eng
  text: 'Many markets have seen a shift from the idea of buying and moved to leasing
    instead. Arguably, the latter has been the major catalyst for their success. Ten
    years ago, research realized this shift and initiated the study of "online leasing
    problems" by introducing leasing to online optimization problems. Resources required
    to provide a service in an "online leasing problem" are no more bought but leased
    for different durations. In this paper, we provide an overview of results that
    contribute to the understanding of "online resource leasing problems". '
author:
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Markarian C, Meyer auf der Heide F. Online Resource Leasing. In: <i>Proceedings
    of the 2015 ACM Symposium on Principles of Distributed Computing (PODC)</i>. ;
    2015:343-344. doi:<a href="https://doi.org/10.1145/2767386.2767454">10.1145/2767386.2767454</a>'
  apa: Markarian, C., &#38; Meyer auf der Heide, F. (2015). Online Resource Leasing.
    In <i>Proceedings of the 2015 ACM Symposium on Principles of Distributed Computing
    (PODC)</i> (pp. 343–344). <a href="https://doi.org/10.1145/2767386.2767454">https://doi.org/10.1145/2767386.2767454</a>
  bibtex: '@inproceedings{Markarian_Meyer auf der Heide_2015, title={Online Resource
    Leasing}, DOI={<a href="https://doi.org/10.1145/2767386.2767454">10.1145/2767386.2767454</a>},
    booktitle={Proceedings of the 2015 ACM Symposium on Principles of Distributed
    Computing (PODC)}, author={Markarian, Christine and Meyer auf der Heide, Friedhelm},
    year={2015}, pages={343–344} }'
  chicago: Markarian, Christine, and Friedhelm Meyer auf der Heide. “Online Resource
    Leasing.” In <i>Proceedings of the 2015 ACM Symposium on Principles of Distributed
    Computing (PODC)</i>, 343–44, 2015. <a href="https://doi.org/10.1145/2767386.2767454">https://doi.org/10.1145/2767386.2767454</a>.
  ieee: C. Markarian and F. Meyer auf der Heide, “Online Resource Leasing,” in <i>Proceedings
    of the 2015 ACM Symposium on Principles of Distributed Computing (PODC)</i>, 2015,
    pp. 343–344.
  mla: Markarian, Christine, and Friedhelm Meyer auf der Heide. “Online Resource Leasing.”
    <i>Proceedings of the 2015 ACM Symposium on Principles of Distributed Computing
    (PODC)</i>, 2015, pp. 343–44, doi:<a href="https://doi.org/10.1145/2767386.2767454">10.1145/2767386.2767454</a>.
  short: 'C. Markarian, F. Meyer auf der Heide, in: Proceedings of the 2015 ACM Symposium
    on Principles of Distributed Computing (PODC), 2015, pp. 343–344.'
date_created: 2017-10-17T12:41:44Z
date_updated: 2022-01-06T06:57:22Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1145/2767386.2767454
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-21T09:33:11Z
  date_updated: 2018-03-21T09:33:11Z
  file_id: '1478'
  file_name: 266-p343-markarian.pdf
  file_size: 679580
  relation: main_file
  success: 1
file_date_updated: 2018-03-21T09:33:11Z
has_accepted_license: '1'
page: 343-344
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '4'
  name: SFB 901 - Project Area C
publication: Proceedings of the 2015 ACM Symposium on Principles of Distributed Computing
  (PODC)
status: public
title: Online Resource Leasing
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '267'
author:
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
citation:
  ama: Markarian C. <i>Online Resource Leasing</i>. Universität Paderborn; 2015.
  apa: Markarian, C. (2015). <i>Online Resource Leasing</i>. Universität Paderborn.
  bibtex: '@book{Markarian_2015, title={Online Resource Leasing}, publisher={Universität
    Paderborn}, author={Markarian, Christine}, year={2015} }'
  chicago: Markarian, Christine. <i>Online Resource Leasing</i>. Universität Paderborn,
    2015.
  ieee: C. Markarian, <i>Online Resource Leasing</i>. Universität Paderborn, 2015.
  mla: Markarian, Christine. <i>Online Resource Leasing</i>. Universität Paderborn,
    2015.
  short: C. Markarian, Online Resource Leasing, Universität Paderborn, 2015.
date_created: 2017-10-17T12:41:44Z
date_updated: 2022-01-06T06:57:26Z
ddc:
- '040'
department:
- _id: '63'
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-21T09:33:41Z
  date_updated: 2018-03-21T09:33:41Z
  file_id: '1479'
  file_name: 267-Dissertation_-_Markarian.pdf
  file_size: 1328685
  relation: main_file
  success: 1
file_date_updated: 2018-03-21T09:33:41Z
has_accepted_license: '1'
language:
- iso: eng
project:
- _id: '1'
  name: SFB 901
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '4'
  name: SFB 901 - Project Area C
publisher: Universität Paderborn
related_material:
  link:
  - relation: confirmation
    url: http://nbn-resolving.de/urn:nbn:de:hbz:466:2-16656
status: public
supervisor:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
title: Online Resource Leasing
type: dissertation
user_id: '15415'
year: '2015'
...
---
_id: '240'
abstract:
- lang: eng
  text: We consider online leasing problems in which demands arrive over time and
    need to be served by leasing resources. We introduce a new model for these problems
    such that a resource can be leased for K different durations each incurring a
    different cost (longer leases cost less per time unit). Each demand i can be served
    anytime between its arrival ai and its deadline ai+di by a leased resource. The
    objective is to meet all deadlines while minimizing the total leasing costs. This
    model is a natural generalization of Meyerson’s ParkingPermitProblem (FOCS 2005)
    in which di=0 for all i. We propose an online algorithm that is Θ(K+dmaxlmin)-competitive
    where dmax and lmin denote the largest di and the shortest available lease length,
    respectively. We also extend the SetCoverLeasing problem by deadlines and give
    a competitive online algorithm which also improves on existing solutions for the
    original SetCoverLeasing problem.
author:
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Alexander
  full_name: Mäcker, Alexander
  id: '13536'
  last_name: Mäcker
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Sören
  full_name: Riechers, Sören
  last_name: Riechers
citation:
  ama: 'Li S, Mäcker A, Markarian C, Meyer auf der Heide F, Riechers S. Towards Flexible
    Demands in Online Leasing Problems. In: <i>Proceedings of the 21st Annual International
    Computing and Combinatorics Conference (COCOON)</i>. Lecture Notes in Computer
    Science. ; 2015:277--288. doi:<a href="https://doi.org/10.1007/978-3-319-21398-9_22">10.1007/978-3-319-21398-9_22</a>'
  apa: Li, S., Mäcker, A., Markarian, C., Meyer auf der Heide, F., &#38; Riechers,
    S. (2015). Towards Flexible Demands in Online Leasing Problems. In <i>Proceedings
    of the 21st Annual International Computing and Combinatorics Conference (COCOON)</i>
    (pp. 277--288). <a href="https://doi.org/10.1007/978-3-319-21398-9_22">https://doi.org/10.1007/978-3-319-21398-9_22</a>
  bibtex: '@inproceedings{Li_Mäcker_Markarian_Meyer auf der Heide_Riechers_2015, series={Lecture
    Notes in Computer Science}, title={Towards Flexible Demands in Online Leasing
    Problems}, DOI={<a href="https://doi.org/10.1007/978-3-319-21398-9_22">10.1007/978-3-319-21398-9_22</a>},
    booktitle={Proceedings of the 21st Annual International Computing and Combinatorics
    Conference (COCOON)}, author={Li, Shouwei and Mäcker, Alexander and Markarian,
    Christine and Meyer auf der Heide, Friedhelm and Riechers, Sören}, year={2015},
    pages={277--288}, collection={Lecture Notes in Computer Science} }'
  chicago: Li, Shouwei, Alexander Mäcker, Christine Markarian, Friedhelm Meyer auf
    der Heide, and Sören Riechers. “Towards Flexible Demands in Online Leasing Problems.”
    In <i>Proceedings of the 21st Annual International Computing and Combinatorics
    Conference (COCOON)</i>, 277--288. Lecture Notes in Computer Science, 2015. <a
    href="https://doi.org/10.1007/978-3-319-21398-9_22">https://doi.org/10.1007/978-3-319-21398-9_22</a>.
  ieee: S. Li, A. Mäcker, C. Markarian, F. Meyer auf der Heide, and S. Riechers, “Towards
    Flexible Demands in Online Leasing Problems,” in <i>Proceedings of the 21st Annual
    International Computing and Combinatorics Conference (COCOON)</i>, 2015, pp. 277--288.
  mla: Li, Shouwei, et al. “Towards Flexible Demands in Online Leasing Problems.”
    <i>Proceedings of the 21st Annual International Computing and Combinatorics Conference
    (COCOON)</i>, 2015, pp. 277--288, doi:<a href="https://doi.org/10.1007/978-3-319-21398-9_22">10.1007/978-3-319-21398-9_22</a>.
  short: 'S. Li, A. Mäcker, C. Markarian, F. Meyer auf der Heide, S. Riechers, in:
    Proceedings of the 21st Annual International Computing and Combinatorics Conference
    (COCOON), 2015, pp. 277--288.'
date_created: 2017-10-17T12:41:38Z
date_updated: 2022-01-06T06:56:05Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1007/978-3-319-21398-9_22
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-21T10:28:50Z
  date_updated: 2018-03-21T10:28:50Z
  file_id: '1498'
  file_name: 240-chp_3A10.1007_2F978-3-319-21398-9_22.pdf
  file_size: 264482
  relation: main_file
  success: 1
file_date_updated: 2018-03-21T10:28:50Z
has_accepted_license: '1'
page: 277--288
project:
- _id: '1'
  name: SFB 901
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '4'
  name: SFB 901 - Project Area C
publication: Proceedings of the 21st Annual International Computing and Combinatorics
  Conference (COCOON)
series_title: Lecture Notes in Computer Science
status: public
title: Towards Flexible Demands in Online Leasing Problems
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '16452'
abstract:
- lang: eng
  text: "We consider the problem of dominating set-based virtual backbone used for\r\nrouting
    in asymmetric wireless ad-hoc networks. These networks have non-uniform\r\ntransmission
    ranges and are modeled using the well-established disk graphs. The\r\ncorresponding
    graph theoretic problem seeks a strongly connected\r\ndominating-absorbent set
    of minimum cardinality in a digraph. A subset of nodes\r\nin a digraph is a strongly
    connected dominating-absorbent set if the subgraph\r\ninduced by these nodes is
    strongly connected and each node in the graph is\r\neither in the set or has both
    an in-neighbor and an out-neighbor in it.\r\nDistributed algorithms for this problem
    are of practical significance due to\r\nthe dynamic nature of ad-hoc networks.
    We present a first distributed\r\napproximation algorithm, with a constant approximation
    factor and O(Diam)\r\nrunning time, where Diam is the diameter of the graph. Moreover
    we present a\r\nsimple heuristic algorithm and conduct an extensive simulation
    study showing\r\nthat our heuristic outperforms previously known approaches for
    the problem."
author:
- first_name: 'Faisal N. '
  full_name: 'Abu-Khzam, Faisal N. '
  last_name: Abu-Khzam
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Michael
  full_name: Schubert, Michael
  last_name: Schubert
citation:
  ama: Abu-Khzam FN, Markarian C, Meyer auf der Heide F, Schubert M. Approximation
    and Heuristic Algorithms for Computing Backbones in  Asymmetric Ad-Hoc Networks.
    <i>arXiv:151001866</i>. 2015.
  apa: Abu-Khzam, F. N., Markarian, C., Meyer auf der Heide, F., &#38; Schubert, M.
    (2015). Approximation and Heuristic Algorithms for Computing Backbones in  Asymmetric
    Ad-Hoc Networks. <i>ArXiv:1510.01866</i>.
  bibtex: '@article{Abu-Khzam_Markarian_Meyer auf der Heide_Schubert_2015, title={Approximation
    and Heuristic Algorithms for Computing Backbones in  Asymmetric Ad-Hoc Networks},
    journal={arXiv:1510.01866}, author={Abu-Khzam, Faisal N.  and Markarian, Christine
    and Meyer auf der Heide, Friedhelm and Schubert, Michael}, year={2015} }'
  chicago: Abu-Khzam, Faisal N. , Christine Markarian, Friedhelm Meyer auf der Heide,
    and Michael Schubert. “Approximation and Heuristic Algorithms for Computing Backbones
    in  Asymmetric Ad-Hoc Networks.” <i>ArXiv:1510.01866</i>, 2015.
  ieee: F. N. Abu-Khzam, C. Markarian, F. Meyer auf der Heide, and M. Schubert, “Approximation
    and Heuristic Algorithms for Computing Backbones in  Asymmetric Ad-Hoc Networks,”
    <i>arXiv:1510.01866</i>. 2015.
  mla: Abu-Khzam, Faisal N., et al. “Approximation and Heuristic Algorithms for Computing
    Backbones in  Asymmetric Ad-Hoc Networks.” <i>ArXiv:1510.01866</i>, 2015.
  short: F.N. Abu-Khzam, C. Markarian, F. Meyer auf der Heide, M. Schubert, ArXiv:1510.01866
    (2015).
date_created: 2020-04-07T12:22:48Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1510.01866'
language:
- iso: eng
publication: arXiv:1510.01866
status: public
title: Approximation and Heuristic Algorithms for Computing Backbones in  Asymmetric
  Ad-Hoc Networks
type: preprint
user_id: '15415'
year: '2015'
...
---
_id: '379'
abstract:
- lang: eng
  text: In the leasing variant of Set Cover presented by Anthony et al.[1], elements
    U arrive over time and must be covered by sets from a familyF of subsets of U.
    Each set can be leased for K different periods of time.Let |U| = n and |F| = m.
    Leasing a set S for a period k incurs a cost ckS and allows S to cover its elements
    for the next lk time steps. The objectiveis to minimize the total cost of the
    sets leased, such that elements arrivingat any time t are covered by sets which
    contain them and are leased duringtime t. Anthony et al. [1] gave an optimal O(log
    n)-approximation forthe problem in the offline setting, unless P = NP [22]. In
    this paper, wegive randomized algorithms for variants of Set Cover Leasing in
    the onlinesetting, including a generalization of Online Set Cover with Repetitionspresented
    by Alon et al. [2], where elements appear multiple times andmust be covered by
    a different set at each arrival. Our results improve theO(log2(mn)) competitive
    factor of Online Set Cover with Repetitions [2]to O(log d log(dn)) = O(logmlog(mn)),
    where d is the maximum numberof sets an element belongs to.
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Abshoff S, Markarian C, Meyer auf der Heide F. Randomized Online Algorithms
    for Set Cover Leasing Problems. In: <i>Proceedings of the 8th Annual International
    Conference on Combinatorial Optimization and Applications (COCOA)</i>. LNCS. ;
    2014:25-34. doi:<a href="https://doi.org/10.1007/978-3-319-12691-3_3">10.1007/978-3-319-12691-3_3</a>'
  apa: Abshoff, S., Markarian, C., &#38; Meyer auf der Heide, F. (2014). Randomized
    Online Algorithms for Set Cover Leasing Problems. In <i>Proceedings of the 8th
    Annual International Conference on Combinatorial Optimization and Applications
    (COCOA)</i> (pp. 25–34). <a href="https://doi.org/10.1007/978-3-319-12691-3_3">https://doi.org/10.1007/978-3-319-12691-3_3</a>
  bibtex: '@inproceedings{Abshoff_Markarian_Meyer auf der Heide_2014, series={LNCS},
    title={Randomized Online Algorithms for Set Cover Leasing Problems}, DOI={<a href="https://doi.org/10.1007/978-3-319-12691-3_3">10.1007/978-3-319-12691-3_3</a>},
    booktitle={Proceedings of the 8th Annual International Conference on Combinatorial
    Optimization and Applications (COCOA)}, author={Abshoff, Sebastian and Markarian,
    Christine and Meyer auf der Heide, Friedhelm}, year={2014}, pages={25–34}, collection={LNCS}
    }'
  chicago: Abshoff, Sebastian, Christine Markarian, and Friedhelm Meyer auf der Heide.
    “Randomized Online Algorithms for Set Cover Leasing Problems.” In <i>Proceedings
    of the 8th Annual International Conference on Combinatorial Optimization and Applications
    (COCOA)</i>, 25–34. LNCS, 2014. <a href="https://doi.org/10.1007/978-3-319-12691-3_3">https://doi.org/10.1007/978-3-319-12691-3_3</a>.
  ieee: S. Abshoff, C. Markarian, and F. Meyer auf der Heide, “Randomized Online Algorithms
    for Set Cover Leasing Problems,” in <i>Proceedings of the 8th Annual International
    Conference on Combinatorial Optimization and Applications (COCOA)</i>, 2014, pp.
    25–34.
  mla: Abshoff, Sebastian, et al. “Randomized Online Algorithms for Set Cover Leasing
    Problems.” <i>Proceedings of the 8th Annual International Conference on Combinatorial
    Optimization and Applications (COCOA)</i>, 2014, pp. 25–34, doi:<a href="https://doi.org/10.1007/978-3-319-12691-3_3">10.1007/978-3-319-12691-3_3</a>.
  short: 'S. Abshoff, C. Markarian, F. Meyer auf der Heide, in: Proceedings of the
    8th Annual International Conference on Combinatorial Optimization and Applications
    (COCOA), 2014, pp. 25–34.'
date_created: 2017-10-17T12:42:06Z
date_updated: 2022-01-06T06:59:36Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1007/978-3-319-12691-3_3
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-20T07:12:57Z
  date_updated: 2018-03-20T07:12:57Z
  file_id: '1395'
  file_name: 379-COCOA14.pdf
  file_size: 214299
  relation: main_file
  success: 1
file_date_updated: 2018-03-20T07:12:57Z
has_accepted_license: '1'
page: 25-34
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 8th Annual International Conference on Combinatorial
  Optimization and Applications (COCOA)
series_title: LNCS
status: public
title: Randomized Online Algorithms for Set Cover Leasing Problems
type: conference
user_id: '15504'
year: '2014'
...
---
_id: '459'
abstract:
- lang: eng
  text: In this survey article, we discuss two algorithmic research areas that emerge
    from problems that arise when resources are offered in the cloud. The first area,
    online leasing, captures problems arising from the fact that resources in the
    cloud are not bought, but leased by cloud vendors. The second area, Distributed
    Storage Systems, deals with problems arising from so-called cloud federations,
    i.e., when several cloud providers are needed to fulfill a given task.
author:
- first_name: Sebastian
  full_name: Kniesburges, Sebastian
  last_name: Kniesburges
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
citation:
  ama: 'Kniesburges S, Markarian C, Meyer auf der Heide F, Scheideler C. Algorithmic
    Aspects of Resource Management in the Cloud. In: <i>Proceedings of the 21st International
    Colloquium on Structural Information and Communication Complexity (SIROCCO)</i>.
    LNCS. ; 2014:1-13. doi:<a href="https://doi.org/10.1007/978-3-319-09620-9_1">10.1007/978-3-319-09620-9_1</a>'
  apa: Kniesburges, S., Markarian, C., Meyer auf der Heide, F., &#38; Scheideler,
    C. (2014). Algorithmic Aspects of Resource Management in the Cloud. In <i>Proceedings
    of the 21st International Colloquium on Structural Information and Communication
    Complexity (SIROCCO)</i> (pp. 1–13). <a href="https://doi.org/10.1007/978-3-319-09620-9_1">https://doi.org/10.1007/978-3-319-09620-9_1</a>
  bibtex: '@inproceedings{Kniesburges_Markarian_Meyer auf der Heide_Scheideler_2014,
    series={LNCS}, title={Algorithmic Aspects of Resource Management in the Cloud},
    DOI={<a href="https://doi.org/10.1007/978-3-319-09620-9_1">10.1007/978-3-319-09620-9_1</a>},
    booktitle={Proceedings of the 21st International Colloquium on Structural Information
    and Communication Complexity (SIROCCO)}, author={Kniesburges, Sebastian and Markarian,
    Christine and Meyer auf der Heide, Friedhelm and Scheideler, Christian}, year={2014},
    pages={1–13}, collection={LNCS} }'
  chicago: Kniesburges, Sebastian, Christine Markarian, Friedhelm Meyer auf der Heide,
    and Christian Scheideler. “Algorithmic Aspects of Resource Management in the Cloud.”
    In <i>Proceedings of the 21st International Colloquium on Structural Information
    and Communication Complexity (SIROCCO)</i>, 1–13. LNCS, 2014. <a href="https://doi.org/10.1007/978-3-319-09620-9_1">https://doi.org/10.1007/978-3-319-09620-9_1</a>.
  ieee: S. Kniesburges, C. Markarian, F. Meyer auf der Heide, and C. Scheideler, “Algorithmic
    Aspects of Resource Management in the Cloud,” in <i>Proceedings of the 21st International
    Colloquium on Structural Information and Communication Complexity (SIROCCO)</i>,
    2014, pp. 1–13.
  mla: Kniesburges, Sebastian, et al. “Algorithmic Aspects of Resource Management
    in the Cloud.” <i>Proceedings of the 21st International Colloquium on Structural
    Information and Communication Complexity (SIROCCO)</i>, 2014, pp. 1–13, doi:<a
    href="https://doi.org/10.1007/978-3-319-09620-9_1">10.1007/978-3-319-09620-9_1</a>.
  short: 'S. Kniesburges, C. Markarian, F. Meyer auf der Heide, C. Scheideler, in:
    Proceedings of the 21st International Colloquium on Structural Information and
    Communication Complexity (SIROCCO), 2014, pp. 1–13.'
date_created: 2017-10-17T12:42:21Z
date_updated: 2022-01-06T07:01:14Z
ddc:
- '040'
department:
- _id: '79'
- _id: '63'
doi: 10.1007/978-3-319-09620-9_1
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-16T11:21:54Z
  date_updated: 2018-03-16T11:21:54Z
  file_id: '1338'
  file_name: 459-SIROCCO2014.pdf
  file_size: 274496
  relation: main_file
  success: 1
file_date_updated: 2018-03-16T11:21:54Z
has_accepted_license: '1'
page: 1-13
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 21st International Colloquium on Structural Information
  and Communication Complexity (SIROCCO)
series_title: LNCS
status: public
title: Algorithmic Aspects of Resource Management in the Cloud
type: conference
user_id: '477'
year: '2014'
...
---
_id: '563'
abstract:
- lang: eng
  text: Dominating set based virtual backbones are used for rou-ting in wireless ad-hoc
    networks. Such backbones receive and transmit messages from/to every node in the
    network. Existing distributed algorithms only consider undirected graphs, which
    model symmetric networks with uniform transmission ranges. We are particularly
    interested in the well-established disk graphs, which model asymmetric networks
    with non-uniform transmission ranges. The corresponding graph theoretic problem
    seeks a strongly connected dominating-absorbent set of minimum cardinality in
    a digraph. A subset of nodes in a digraph is a strongly connected dominating-absorbent
    set if the subgraph induced by these nodes is strongly connected and each node
    in the graph is either in the set or has both an in-neighbor and an out-neighbor
    in it. We introduce the first distributed algorithm for this problem in disk graphs.
    The algorithm gives an O(k^4) -approximation ratio and has a runtime bound of
    O(Diam) where Diam is the diameter of the graph and k denotes the transmission
    ratio r_{max}/r_{min} with r_{max} and r_{min} being the maximum and minimum transmission
    range, respectively. Moreover, we apply our algorithm on the subgraph of disk
    graphs consisting of only bidirectional edges. Our algorithm gives an O(ln k)
    -approximation and a runtime bound of O(k^8 log^∗ n) , which, for bounded k ,
    is an optimal approximation for the problem, following Lenzen and Wattenhofer’s
    Ω(log^∗ n) runtime lower bound for distributed constant approximation in disk
    graphs.
author:
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Michael
  full_name: Schubert, Michael
  last_name: Schubert
citation:
  ama: 'Markarian C, Meyer auf der Heide F, Schubert M. A Distributed Approximation
    Algorithm for Strongly Connected Dominating-Absorbent Sets in Asymmetric Wireless
    Ad-Hoc Networks. In: <i>Proceedings of the 9th International Symposium on Algorithms
    and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics
    (ALGOSENSORS)</i>. LNCS. ; 2013:217-227. doi:<a href="https://doi.org/10.1007/978-3-642-45346-5_16">10.1007/978-3-642-45346-5_16</a>'
  apa: Markarian, C., Meyer auf der Heide, F., &#38; Schubert, M. (2013). A Distributed
    Approximation Algorithm for Strongly Connected Dominating-Absorbent Sets in Asymmetric
    Wireless Ad-Hoc Networks. In <i>Proceedings of the 9th International Symposium
    on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed
    Robotics (ALGOSENSORS)</i> (pp. 217–227). <a href="https://doi.org/10.1007/978-3-642-45346-5_16">https://doi.org/10.1007/978-3-642-45346-5_16</a>
  bibtex: '@inproceedings{Markarian_Meyer auf der Heide_Schubert_2013, series={LNCS},
    title={A Distributed Approximation Algorithm for Strongly Connected Dominating-Absorbent
    Sets in Asymmetric Wireless Ad-Hoc Networks}, DOI={<a href="https://doi.org/10.1007/978-3-642-45346-5_16">10.1007/978-3-642-45346-5_16</a>},
    booktitle={Proceedings of the 9th International Symposium on Algorithms and Experiments
    for Sensor Systems, Wireless Networks and Distributed Robotics (ALGOSENSORS)},
    author={Markarian, Christine and Meyer auf der Heide, Friedhelm and Schubert,
    Michael}, year={2013}, pages={217–227}, collection={LNCS} }'
  chicago: Markarian, Christine, Friedhelm Meyer auf der Heide, and Michael Schubert.
    “A Distributed Approximation Algorithm for Strongly Connected Dominating-Absorbent
    Sets in Asymmetric Wireless Ad-Hoc Networks.” In <i>Proceedings of the 9th International
    Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks
    and Distributed Robotics (ALGOSENSORS)</i>, 217–27. LNCS, 2013. <a href="https://doi.org/10.1007/978-3-642-45346-5_16">https://doi.org/10.1007/978-3-642-45346-5_16</a>.
  ieee: C. Markarian, F. Meyer auf der Heide, and M. Schubert, “A Distributed Approximation
    Algorithm for Strongly Connected Dominating-Absorbent Sets in Asymmetric Wireless
    Ad-Hoc Networks,” in <i>Proceedings of the 9th International Symposium on Algorithms
    and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics
    (ALGOSENSORS)</i>, 2013, pp. 217–227.
  mla: Markarian, Christine, et al. “A Distributed Approximation Algorithm for Strongly
    Connected Dominating-Absorbent Sets in Asymmetric Wireless Ad-Hoc Networks.” <i>Proceedings
    of the 9th International Symposium on Algorithms and Experiments for Sensor Systems,
    Wireless Networks and Distributed Robotics (ALGOSENSORS)</i>, 2013, pp. 217–27,
    doi:<a href="https://doi.org/10.1007/978-3-642-45346-5_16">10.1007/978-3-642-45346-5_16</a>.
  short: 'C. Markarian, F. Meyer auf der Heide, M. Schubert, in: Proceedings of the
    9th International Symposium on Algorithms and Experiments for Sensor Systems,
    Wireless Networks and Distributed Robotics (ALGOSENSORS), 2013, pp. 217–227.'
date_created: 2017-10-17T12:42:42Z
date_updated: 2022-01-06T07:02:13Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1007/978-3-642-45346-5_16
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-15T10:25:15Z
  date_updated: 2018-03-15T10:25:15Z
  file_id: '1278'
  file_name: 563-978-3-642-45346-5_16.pdf
  file_size: 348191
  relation: main_file
  success: 1
file_date_updated: 2018-03-15T10:25:15Z
has_accepted_license: '1'
page: 217-227
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 9th International Symposium on Algorithms and Experiments
  for Sensor Systems, Wireless Networks and Distributed Robotics (ALGOSENSORS)
series_title: LNCS
status: public
title: A Distributed Approximation Algorithm for Strongly Connected Dominating-Absorbent
  Sets in Asymmetric Wireless Ad-Hoc Networks
type: conference
user_id: '477'
year: '2013'
...
