---
_id: '33947'
article_type: original
author:
- first_name: Jannik
  full_name: Castenow, Jannik
  id: '38705'
  last_name: Castenow
- first_name: Jonas
  full_name: Harbig, Jonas
  id: '47213'
  last_name: Harbig
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Till
  full_name: Knollmann, Till
  id: '39241'
  last_name: Knollmann
  orcid: 0000-0003-2014-4696
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Castenow J, Harbig J, Jung D, Knollmann T, Meyer auf der Heide F. Gathering
    a Euclidean Closed Chain of Robots in Linear Time and Improved Algorithms for
    Chain-Formation. <i>Theoretical Computer Science</i>. 2023;939:261-291. doi:<a
    href="https://doi.org/10.1016/j.tcs.2022.10.031">10.1016/j.tcs.2022.10.031</a>
  apa: Castenow, J., Harbig, J., Jung, D., Knollmann, T., &#38; Meyer auf der Heide,
    F. (2023). Gathering a Euclidean Closed Chain of Robots in Linear Time and Improved
    Algorithms for Chain-Formation. <i>Theoretical Computer Science</i>, <i>939</i>,
    261–291. <a href="https://doi.org/10.1016/j.tcs.2022.10.031">https://doi.org/10.1016/j.tcs.2022.10.031</a>
  bibtex: '@article{Castenow_Harbig_Jung_Knollmann_Meyer auf der Heide_2023, title={Gathering
    a Euclidean Closed Chain of Robots in Linear Time and Improved Algorithms for
    Chain-Formation}, volume={939}, DOI={<a href="https://doi.org/10.1016/j.tcs.2022.10.031">10.1016/j.tcs.2022.10.031</a>},
    journal={Theoretical Computer Science}, publisher={Elsevier BV}, author={Castenow,
    Jannik and Harbig, Jonas and Jung, Daniel and Knollmann, Till and Meyer auf der
    Heide, Friedhelm}, year={2023}, pages={261–291} }'
  chicago: 'Castenow, Jannik, Jonas Harbig, Daniel Jung, Till Knollmann, and Friedhelm
    Meyer auf der Heide. “Gathering a Euclidean Closed Chain of Robots in Linear Time
    and Improved Algorithms for Chain-Formation.” <i>Theoretical Computer Science</i>
    939 (2023): 261–91. <a href="https://doi.org/10.1016/j.tcs.2022.10.031">https://doi.org/10.1016/j.tcs.2022.10.031</a>.'
  ieee: 'J. Castenow, J. Harbig, D. Jung, T. Knollmann, and F. Meyer auf der Heide,
    “Gathering a Euclidean Closed Chain of Robots in Linear Time and Improved Algorithms
    for Chain-Formation,” <i>Theoretical Computer Science</i>, vol. 939, pp. 261–291,
    2023, doi: <a href="https://doi.org/10.1016/j.tcs.2022.10.031">10.1016/j.tcs.2022.10.031</a>.'
  mla: Castenow, Jannik, et al. “Gathering a Euclidean Closed Chain of Robots in Linear
    Time and Improved Algorithms for Chain-Formation.” <i>Theoretical Computer Science</i>,
    vol. 939, Elsevier BV, 2023, pp. 261–91, doi:<a href="https://doi.org/10.1016/j.tcs.2022.10.031">10.1016/j.tcs.2022.10.031</a>.
  short: J. Castenow, J. Harbig, D. Jung, T. Knollmann, F. Meyer auf der Heide, Theoretical
    Computer Science 939 (2023) 261–291.
date_created: 2022-10-28T05:11:16Z
date_updated: 2023-01-30T09:20:09Z
department:
- _id: '63'
doi: 10.1016/j.tcs.2022.10.031
external_id:
  arxiv:
  - '2010.04424 '
intvolume: '       939'
keyword:
- General Computer Science
- Theoretical Computer Science
language:
- iso: eng
page: 261-291
project:
- _id: '106'
  name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
publication_status: published
publisher: Elsevier BV
status: public
title: Gathering a Euclidean Closed Chain of Robots in Linear Time and Improved Algorithms
  for Chain-Formation
type: journal_article
user_id: '38705'
volume: 939
year: '2023'
...
---
_id: '34008'
author:
- first_name: Jannik
  full_name: Castenow, Jannik
  id: '38705'
  last_name: Castenow
- first_name: Jonas
  full_name: Harbig, Jonas
  id: '47213'
  last_name: Harbig
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Peter
  full_name: Kling, Peter
  last_name: Kling
- first_name: Till
  full_name: Knollmann, Till
  id: '39241'
  last_name: Knollmann
  orcid: 0000-0003-2014-4696
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Castenow J, Harbig J, Jung D, Kling P, Knollmann T, Meyer auf der Heide F.
    A Unifying Approach to Efficient (Near-)Gathering of Disoriented Robots with Limited
    Visibility . In: Hillel E, Palmieri R, Riviére E, eds. <i>Proceedings of the 26th
    International Conference on Principles of Distributed Systems (OPODIS) </i>. Vol
    253. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl
    – Leibniz Zentrum für Informatik; 2023:15:1–15:25. doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2022.15">10.4230/LIPIcs.OPODIS.2022.15</a>'
  apa: Castenow, J., Harbig, J., Jung, D., Kling, P., Knollmann, T., &#38; Meyer auf
    der Heide, F. (2023). A Unifying Approach to Efficient (Near-)Gathering of Disoriented
    Robots with Limited Visibility . In E. Hillel, R. Palmieri, &#38; E. Riviére (Eds.),
    <i>Proceedings of the 26th International Conference on Principles of Distributed
    Systems (OPODIS) </i> (Vol. 253, p. 15:1–15:25). Schloss Dagstuhl – Leibniz Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2022.15">https://doi.org/10.4230/LIPIcs.OPODIS.2022.15</a>
  bibtex: '@inproceedings{Castenow_Harbig_Jung_Kling_Knollmann_Meyer auf der Heide_2023,
    place={Brussels}, series={Leibniz International Proceedings in Informatics (LIPIcs)},
    title={A Unifying Approach to Efficient (Near-)Gathering of Disoriented Robots
    with Limited Visibility }, volume={253}, DOI={<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2022.15">10.4230/LIPIcs.OPODIS.2022.15</a>},
    booktitle={Proceedings of the 26th International Conference on Principles of Distributed
    Systems (OPODIS) }, publisher={Schloss Dagstuhl – Leibniz Zentrum für Informatik},
    author={Castenow, Jannik and Harbig, Jonas and Jung, Daniel and Kling, Peter and
    Knollmann, Till and Meyer auf der Heide, Friedhelm}, editor={Hillel, Eshcar and
    Palmieri, Roberto and Riviére, Etienne}, year={2023}, pages={15:1–15:25}, collection={Leibniz
    International Proceedings in Informatics (LIPIcs)} }'
  chicago: 'Castenow, Jannik, Jonas Harbig, Daniel Jung, Peter Kling, Till Knollmann,
    and Friedhelm Meyer auf der Heide. “A Unifying Approach to Efficient (Near-)Gathering
    of Disoriented Robots with Limited Visibility .” In <i>Proceedings of the 26th
    International Conference on Principles of Distributed Systems (OPODIS) </i>, edited
    by Eshcar Hillel, Roberto Palmieri, and Etienne Riviére, 253:15:1–15:25. Leibniz
    International Proceedings in Informatics (LIPIcs). Brussels: Schloss Dagstuhl
    – Leibniz Zentrum für Informatik, 2023. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2022.15">https://doi.org/10.4230/LIPIcs.OPODIS.2022.15</a>.'
  ieee: 'J. Castenow, J. Harbig, D. Jung, P. Kling, T. Knollmann, and F. Meyer auf
    der Heide, “A Unifying Approach to Efficient (Near-)Gathering of Disoriented Robots
    with Limited Visibility ,” in <i>Proceedings of the 26th International Conference
    on Principles of Distributed Systems (OPODIS) </i>, Brussels, 2023, vol. 253,
    p. 15:1–15:25, doi: <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2022.15">10.4230/LIPIcs.OPODIS.2022.15</a>.'
  mla: Castenow, Jannik, et al. “A Unifying Approach to Efficient (Near-)Gathering
    of Disoriented Robots with Limited Visibility .” <i>Proceedings of the 26th International
    Conference on Principles of Distributed Systems (OPODIS) </i>, edited by Eshcar
    Hillel et al., vol. 253, Schloss Dagstuhl – Leibniz Zentrum für Informatik, 2023,
    p. 15:1–15:25, doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2022.15">10.4230/LIPIcs.OPODIS.2022.15</a>.
  short: 'J. Castenow, J. Harbig, D. Jung, P. Kling, T. Knollmann, F. Meyer auf der
    Heide, in: E. Hillel, R. Palmieri, E. Riviére (Eds.), Proceedings of the 26th
    International Conference on Principles of Distributed Systems (OPODIS) , Schloss
    Dagstuhl – Leibniz Zentrum für Informatik, Brussels, 2023, p. 15:1–15:25.'
conference:
  end_date: 2022-12-15
  location: Brussels
  name: 26th International Conference on Principles of Distributed Systems (OPODIS)
  start_date: 2022-12-13
date_created: 2022-11-04T09:41:30Z
date_updated: 2023-02-15T14:53:12Z
department:
- _id: '63'
doi: 10.4230/LIPIcs.OPODIS.2022.15
editor:
- first_name: Eshcar
  full_name: Hillel, Eshcar
  last_name: Hillel
- first_name: Roberto
  full_name: Palmieri, Roberto
  last_name: Palmieri
- first_name: Etienne
  full_name: Riviére, Etienne
  last_name: Riviére
external_id:
  arxiv:
  - '2206.07567 '
intvolume: '       253'
language:
- iso: eng
page: 15:1–15:25
place: Brussels
project:
- _id: '106'
  name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: 'Proceedings of the 26th International Conference on Principles of Distributed
  Systems (OPODIS) '
publication_identifier:
  isbn:
  - 978-3-95977-265-5
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl – Leibniz Zentrum für Informatik
series_title: Leibniz International Proceedings in Informatics (LIPIcs)
status: public
title: 'A Unifying Approach to Efficient (Near-)Gathering of Disoriented Robots with
  Limited Visibility '
type: conference
user_id: '38705'
volume: 253
year: '2023'
...
---
_id: '23730'
author:
- first_name: Jannik
  full_name: Castenow, Jannik
  id: '38705'
  last_name: Castenow
- first_name: Jonas
  full_name: Harbig, Jonas
  id: '47213'
  last_name: Harbig
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Till
  full_name: Knollmann, Till
  id: '39241'
  last_name: Knollmann
  orcid: 0000-0003-2014-4696
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Castenow J, Harbig J, Jung D, Knollmann T, Meyer auf der Heide F. Gathering
    a Euclidean Closed Chain of Robots in Linear Time. In: Gasieniec L, Klasing R,
    Radzik T, eds. <i>Proceedings of the 17th International Symposium on Algorithms
    and Experiments for Wireless Sensor Networks (ALGOSENSORS)</i>. Vol 12961. LNCS.
    Springer; 2021:29-44. doi:<a href="https://doi.org/10.1007/978-3-030-89240-1_3">10.1007/978-3-030-89240-1_3</a>'
  apa: Castenow, J., Harbig, J., Jung, D., Knollmann, T., &#38; Meyer auf der Heide,
    F. (2021). Gathering a Euclidean Closed Chain of Robots in Linear Time. In L.
    Gasieniec, R. Klasing, &#38; T. Radzik (Eds.), <i>Proceedings of the 17th International
    Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS)</i>
    (Vol. 12961, pp. 29–44). Springer. <a href="https://doi.org/10.1007/978-3-030-89240-1_3">https://doi.org/10.1007/978-3-030-89240-1_3</a>
  bibtex: '@inproceedings{Castenow_Harbig_Jung_Knollmann_Meyer auf der Heide_2021,
    series={LNCS}, title={Gathering a Euclidean Closed Chain of Robots in Linear Time},
    volume={12961}, DOI={<a href="https://doi.org/10.1007/978-3-030-89240-1_3">10.1007/978-3-030-89240-1_3</a>},
    booktitle={Proceedings of the 17th International Symposium on Algorithms and Experiments
    for Wireless Sensor Networks (ALGOSENSORS)}, publisher={Springer}, author={Castenow,
    Jannik and Harbig, Jonas and Jung, Daniel and Knollmann, Till and Meyer auf der
    Heide, Friedhelm}, editor={Gasieniec, Leszek and Klasing, Ralf and Radzik, Tomasz},
    year={2021}, pages={29–44}, collection={LNCS} }'
  chicago: Castenow, Jannik, Jonas Harbig, Daniel Jung, Till Knollmann, and Friedhelm
    Meyer auf der Heide. “Gathering a Euclidean Closed Chain of Robots in Linear Time.”
    In <i>Proceedings of the 17th International Symposium on Algorithms and Experiments
    for Wireless Sensor Networks (ALGOSENSORS)</i>, edited by Leszek Gasieniec, Ralf
    Klasing, and Tomasz Radzik, 12961:29–44. LNCS. Springer, 2021. <a href="https://doi.org/10.1007/978-3-030-89240-1_3">https://doi.org/10.1007/978-3-030-89240-1_3</a>.
  ieee: 'J. Castenow, J. Harbig, D. Jung, T. Knollmann, and F. Meyer auf der Heide,
    “Gathering a Euclidean Closed Chain of Robots in Linear Time,” in <i>Proceedings
    of the 17th International Symposium on Algorithms and Experiments for Wireless
    Sensor Networks (ALGOSENSORS)</i>, Lissabon, 2021, vol. 12961, pp. 29–44, doi:
    <a href="https://doi.org/10.1007/978-3-030-89240-1_3">10.1007/978-3-030-89240-1_3</a>.'
  mla: Castenow, Jannik, et al. “Gathering a Euclidean Closed Chain of Robots in Linear
    Time.” <i>Proceedings of the 17th International Symposium on Algorithms and Experiments
    for Wireless Sensor Networks (ALGOSENSORS)</i>, edited by Leszek Gasieniec et
    al., vol. 12961, Springer, 2021, pp. 29–44, doi:<a href="https://doi.org/10.1007/978-3-030-89240-1_3">10.1007/978-3-030-89240-1_3</a>.
  short: 'J. Castenow, J. Harbig, D. Jung, T. Knollmann, F. Meyer auf der Heide, in:
    L. Gasieniec, R. Klasing, T. Radzik (Eds.), Proceedings of the 17th International
    Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS),
    Springer, 2021, pp. 29–44.'
conference:
  end_date: 2021-09-10
  location: Lissabon
  name: 17th International Symposium on Algorithms and Experiments for Wireless Sensor
    Networks (ALGOSENSORS) 2021
  start_date: 2021-09-09
date_created: 2021-09-03T09:01:25Z
date_updated: 2022-01-06T06:55:58Z
department:
- _id: '63'
doi: 10.1007/978-3-030-89240-1_3
editor:
- first_name: Leszek
  full_name: Gasieniec, Leszek
  last_name: Gasieniec
- first_name: Ralf
  full_name: Klasing, Ralf
  last_name: Klasing
- first_name: Tomasz
  full_name: Radzik, Tomasz
  last_name: Radzik
external_id:
  arxiv:
  - '2010.04424'
intvolume: '     12961'
language:
- iso: eng
page: 29 - 44
project:
- _id: '106'
  name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: Proceedings of the 17th International Symposium on Algorithms and Experiments
  for Wireless Sensor Networks (ALGOSENSORS)
publication_status: published
publisher: Springer
series_title: LNCS
status: public
title: Gathering a Euclidean Closed Chain of Robots in Linear Time
type: conference
user_id: '38705'
volume: 12961
year: '2021'
...
---
_id: '20185'
author:
- first_name: Jannik
  full_name: Castenow, Jannik
  id: '38705'
  last_name: Castenow
- first_name: Jonas
  full_name: Harbig, Jonas
  id: '47213'
  last_name: Harbig
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Till
  full_name: Knollmann, Till
  id: '39241'
  last_name: Knollmann
  orcid: 0000-0003-2014-4696
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Castenow J, Harbig J, Jung D, Knollmann T, Meyer auf der Heide F. Brief Announcement:
    Gathering in Linear Time: A Closed Chain of Disoriented &#38; Luminous Robots
    with Limited Visibility . In: Devismes S,  Mittal N, eds. <i>Stabilization, Safety,
    and Security of Distributed Systems - 22nd International Symposium, SSS 2020,
    Austin, Texas, USA, November 18-21, 2020, Proceedings </i>. Vol 12514. Lecture
    Notes in Computer Science (LNCS). Springer; 2020:60-64. doi:<a href="https://doi.org/10.1007/978-3-030-64348-5_5">10.1007/978-3-030-64348-5_5</a>'
  apa: 'Castenow, J., Harbig, J., Jung, D., Knollmann, T., &#38; Meyer auf der Heide,
    F. (2020). Brief Announcement: Gathering in Linear Time: A Closed Chain of Disoriented
    &#38; Luminous Robots with Limited Visibility . In S. Devismes &#38; N.  Mittal
    (Eds.), <i>Stabilization, Safety, and Security of Distributed Systems - 22nd International
    Symposium, SSS 2020, Austin, Texas, USA, November 18-21, 2020, Proceedings </i>
    (Vol. 12514, pp. 60–64). Springer. <a href="https://doi.org/10.1007/978-3-030-64348-5_5">https://doi.org/10.1007/978-3-030-64348-5_5</a>'
  bibtex: '@inproceedings{Castenow_Harbig_Jung_Knollmann_Meyer auf der Heide_2020,
    series={Lecture Notes in Computer Science (LNCS)}, title={Brief Announcement:
    Gathering in Linear Time: A Closed Chain of Disoriented &#38; Luminous Robots
    with Limited Visibility }, volume={12514}, DOI={<a href="https://doi.org/10.1007/978-3-030-64348-5_5">10.1007/978-3-030-64348-5_5</a>},
    booktitle={Stabilization, Safety, and Security of Distributed Systems - 22nd International
    Symposium, SSS 2020, Austin, Texas, USA, November 18-21, 2020, Proceedings },
    publisher={Springer}, author={Castenow, Jannik and Harbig, Jonas and Jung, Daniel
    and Knollmann, Till and Meyer auf der Heide, Friedhelm}, editor={Devismes, Stéphane  and  Mittal,
    NeerajEditors}, year={2020}, pages={60–64}, collection={Lecture Notes in Computer
    Science (LNCS)} }'
  chicago: 'Castenow, Jannik, Jonas Harbig, Daniel Jung, Till Knollmann, and Friedhelm
    Meyer auf der Heide. “Brief Announcement: Gathering in Linear Time: A Closed Chain
    of Disoriented &#38; Luminous Robots with Limited Visibility .” In <i>Stabilization,
    Safety, and Security of Distributed Systems - 22nd International Symposium, SSS
    2020, Austin, Texas, USA, November 18-21, 2020, Proceedings </i>, edited by Stéphane  Devismes
    and Neeraj  Mittal, 12514:60–64. Lecture Notes in Computer Science (LNCS). Springer,
    2020. <a href="https://doi.org/10.1007/978-3-030-64348-5_5">https://doi.org/10.1007/978-3-030-64348-5_5</a>.'
  ieee: 'J. Castenow, J. Harbig, D. Jung, T. Knollmann, and F. Meyer auf der Heide,
    “Brief Announcement: Gathering in Linear Time: A Closed Chain of Disoriented &#38;
    Luminous Robots with Limited Visibility ,” in <i>Stabilization, Safety, and Security
    of Distributed Systems - 22nd International Symposium, SSS 2020, Austin, Texas,
    USA, November 18-21, 2020, Proceedings </i>, 2020, vol. 12514, pp. 60–64.'
  mla: 'Castenow, Jannik, et al. “Brief Announcement: Gathering in Linear Time: A
    Closed Chain of Disoriented &#38; Luminous Robots with Limited Visibility .” <i>Stabilization,
    Safety, and Security of Distributed Systems - 22nd International Symposium, SSS
    2020, Austin, Texas, USA, November 18-21, 2020, Proceedings </i>, edited by Stéphane  Devismes
    and Neeraj  Mittal, vol. 12514, Springer, 2020, pp. 60–64, doi:<a href="https://doi.org/10.1007/978-3-030-64348-5_5">10.1007/978-3-030-64348-5_5</a>.'
  short: 'J. Castenow, J. Harbig, D. Jung, T. Knollmann, F. Meyer auf der Heide, in:
    S. Devismes, N.  Mittal (Eds.), Stabilization, Safety, and Security of Distributed
    Systems - 22nd International Symposium, SSS 2020, Austin, Texas, USA, November
    18-21, 2020, Proceedings , Springer, 2020, pp. 60–64.'
date_created: 2020-10-23T08:50:28Z
date_updated: 2022-01-06T06:54:21Z
department:
- _id: '63'
doi: 10.1007/978-3-030-64348-5_5
editor:
- first_name: 'Stéphane '
  full_name: 'Devismes, Stéphane '
  last_name: Devismes
- first_name: Neeraj
  full_name: ' Mittal, Neeraj'
  last_name: ' Mittal'
external_id:
  arxiv:
  - '2010.04424 '
intvolume: '     12514'
language:
- iso: eng
page: 60-64
publication: 'Stabilization, Safety, and Security of Distributed Systems - 22nd International
  Symposium, SSS 2020, Austin, Texas, USA, November 18-21, 2020, Proceedings '
publication_identifier:
  isbn:
  - 978-3-030-64347-8
publication_status: published
publisher: Springer
series_title: Lecture Notes in Computer Science (LNCS)
status: public
title: 'Brief Announcement: Gathering in Linear Time: A Closed Chain of Disoriented
  & Luminous Robots with Limited Visibility '
type: conference
user_id: '38705'
volume: 12514
year: '2020'
...
---
_id: '16299'
author:
- first_name: Jannik
  full_name: Castenow, Jannik
  id: '38705'
  last_name: Castenow
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Jonas
  full_name: Harbig, Jonas
  last_name: Harbig
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Castenow J, Fischer M, Harbig J, Jung D, Meyer auf der Heide F. Gathering Anonymous,
    Oblivious Robots on a Grid. <i>Theoretical Computer Science</i>. 2020;815:289-309.
    doi:<a href="https://doi.org/10.1016/j.tcs.2020.02.018">10.1016/j.tcs.2020.02.018</a>
  apa: Castenow, J., Fischer, M., Harbig, J., Jung, D., &#38; Meyer auf der Heide,
    F. (2020). Gathering Anonymous, Oblivious Robots on a Grid. <i>Theoretical Computer
    Science</i>, <i>815</i>, 289–309. <a href="https://doi.org/10.1016/j.tcs.2020.02.018">https://doi.org/10.1016/j.tcs.2020.02.018</a>
  bibtex: '@article{Castenow_Fischer_Harbig_Jung_Meyer auf der Heide_2020, title={Gathering
    Anonymous, Oblivious Robots on a Grid}, volume={815}, DOI={<a href="https://doi.org/10.1016/j.tcs.2020.02.018">10.1016/j.tcs.2020.02.018</a>},
    journal={Theoretical Computer Science}, author={Castenow, Jannik and Fischer,
    Matthias and Harbig, Jonas and Jung, Daniel and Meyer auf der Heide, Friedhelm},
    year={2020}, pages={289–309} }'
  chicago: 'Castenow, Jannik, Matthias Fischer, Jonas Harbig, Daniel Jung, and Friedhelm
    Meyer auf der Heide. “Gathering Anonymous, Oblivious Robots on a Grid.” <i>Theoretical
    Computer Science</i> 815 (2020): 289–309. <a href="https://doi.org/10.1016/j.tcs.2020.02.018">https://doi.org/10.1016/j.tcs.2020.02.018</a>.'
  ieee: J. Castenow, M. Fischer, J. Harbig, D. Jung, and F. Meyer auf der Heide, “Gathering
    Anonymous, Oblivious Robots on a Grid,” <i>Theoretical Computer Science</i>, vol.
    815, pp. 289–309, 2020.
  mla: Castenow, Jannik, et al. “Gathering Anonymous, Oblivious Robots on a Grid.”
    <i>Theoretical Computer Science</i>, vol. 815, 2020, pp. 289–309, doi:<a href="https://doi.org/10.1016/j.tcs.2020.02.018">10.1016/j.tcs.2020.02.018</a>.
  short: J. Castenow, M. Fischer, J. Harbig, D. Jung, F. Meyer auf der Heide, Theoretical
    Computer Science 815 (2020) 289–309.
date_created: 2020-03-13T12:55:53Z
date_updated: 2022-01-06T06:52:48Z
department:
- _id: '63'
doi: 10.1016/j.tcs.2020.02.018
intvolume: '       815'
language:
- iso: eng
page: 289-309
publication: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
publication_status: published
status: public
title: Gathering Anonymous, Oblivious Robots on a Grid
type: journal_article
user_id: '38705'
volume: 815
year: '2020'
...
---
_id: '4563'
abstract:
- lang: eng
  text: "Routing is a challenging problem for wireless ad hoc networks, especially
    when the nodes are mobile and spread so widely that in most cases multiple hops
    are needed to route a message from one node to another. In fact, it is known that
    any online routing protocol has a poor performance in the worst case, in a sense
    that there is a distribution of nodes resulting in bad routing paths for that
    protocol, even if the nodes know their geographic positions and the geographic
    position of the destination of a message is known. The reason for that is that
    radio holes in the ad hoc network may require messages to take long detours in
    order to get to a destination, which are hard to find in an online fashion.\r\n\r\nIn
    this paper, we assume that the wireless ad hoc network can make limited use of
    long-range links provided by a global communication infrastructure like a cellular
    infrastructure or a satellite in order to compute an abstraction of the wireless
    ad hoc network that allows the messages to be sent along near-shortest paths in
    the ad hoc network. We present distributed algorithms that compute an abstraction
    of the ad hoc network in $\\mathcal{O}\\left(\\log ^2 n\\right)$ time using long-range
    links, which results in $c$-competitive routing paths between any two nodes of
    the ad hoc network for some constant $c$ if the convex hulls of the radio holes
    do not intersect. We also show that the storage needed for the abstraction just
    depends on the number and size of the radio holes in the wireless ad hoc network
    and is independent on the total number of nodes, and this information just has
    to be known to a few nodes for the routing to work.\r\n"
author:
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Christina
  full_name: Kolb, Christina
  id: '43647'
  last_name: Kolb
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
- first_name: Jannik
  full_name: Sundermeier, Jannik
  id: '38705'
  last_name: Sundermeier
citation:
  ama: 'Jung D, Kolb C, Scheideler C, Sundermeier J. Competitive Routing in Hybrid
    Communication Networks. In: <i>Proceedings of the 14th International Symposium
    on Algorithms and Experiments for Wireless Networks (ALGOSENSORS) </i>. Springer;
    2018.'
  apa: 'Jung, D., Kolb, C., Scheideler, C., &#38; Sundermeier, J. (2018). Competitive
    Routing in Hybrid Communication Networks. In <i>Proceedings of the 14th International
    Symposium on Algorithms and Experiments for Wireless Networks (ALGOSENSORS) </i>.
    Helsinki: Springer.'
  bibtex: '@inproceedings{Jung_Kolb_Scheideler_Sundermeier_2018, title={Competitive
    Routing in Hybrid Communication Networks}, booktitle={Proceedings of the 14th
    International Symposium on Algorithms and Experiments for Wireless Networks (ALGOSENSORS)
    }, publisher={Springer}, author={Jung, Daniel and Kolb, Christina and Scheideler,
    Christian and Sundermeier, Jannik}, year={2018} }'
  chicago: Jung, Daniel, Christina Kolb, Christian Scheideler, and Jannik Sundermeier.
    “Competitive Routing in Hybrid Communication Networks.” In <i>Proceedings of the
    14th International Symposium on Algorithms and Experiments for Wireless Networks
    (ALGOSENSORS) </i>. Springer, 2018.
  ieee: D. Jung, C. Kolb, C. Scheideler, and J. Sundermeier, “Competitive Routing
    in Hybrid Communication Networks,” in <i>Proceedings of the 14th International
    Symposium on Algorithms and Experiments for Wireless Networks (ALGOSENSORS) </i>,
    Helsinki, 2018.
  mla: Jung, Daniel, et al. “Competitive Routing in Hybrid Communication Networks.”
    <i>Proceedings of the 14th International Symposium on Algorithms and Experiments
    for Wireless Networks (ALGOSENSORS) </i>, Springer, 2018.
  short: 'D. Jung, C. Kolb, C. Scheideler, J. Sundermeier, in: Proceedings of the
    14th International Symposium on Algorithms and Experiments for Wireless Networks
    (ALGOSENSORS) , Springer, 2018.'
conference:
  end_date: 2018-08-24
  location: Helsinki
  name: '14th International Symposium on Algorithms and Experiments for Wireless Networks
    (ALGOSENSORS) '
  start_date: 2018-08-23
date_created: 2018-10-02T07:06:05Z
date_updated: 2022-01-06T07:01:11Z
ddc:
- '000'
department:
- _id: '63'
- _id: '79'
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2019-01-11T10:32:38Z
  date_updated: 2019-01-11T10:32:38Z
  file_id: '6621'
  file_name: 23hybrid.pdf
  file_size: 349034
  relation: main_file
  success: 1
file_date_updated: 2019-01-11T10:32:38Z
has_accepted_license: '1'
keyword:
- greedy routing
- ad hoc networks
- convex hulls
- c-competitiveness
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: 'Proceedings of the 14th International Symposium on Algorithms and Experiments
  for Wireless Networks (ALGOSENSORS) '
publisher: Springer
status: public
title: Competitive Routing in Hybrid Communication Networks
type: conference
user_id: '38705'
year: '2018'
...
---
_id: '4565'
author:
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Christina
  full_name: Kolb, Christina
  id: '43647'
  last_name: Kolb
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
- first_name: Jannik
  full_name: Sundermeier, Jannik
  id: '38705'
  last_name: Sundermeier
citation:
  ama: 'Jung D, Kolb C, Scheideler C, Sundermeier J. Brief Announcement: Competitive
    Routing in Hybrid Communication Networks. In: <i>Proceedings of the 30th on Symposium
    on Parallelism in Algorithms and Architectures (SPAA)</i>. ACM Press; 2018. doi:<a
    href="https://doi.org/10.1145/3210377.3210663">10.1145/3210377.3210663</a>'
  apa: 'Jung, D., Kolb, C., Scheideler, C., &#38; Sundermeier, J. (2018). Brief Announcement:
    Competitive Routing in Hybrid Communication Networks. In <i>Proceedings of the
    30th on Symposium on Parallelism in Algorithms and Architectures (SPAA)</i>. Wien:
    ACM Press. <a href="https://doi.org/10.1145/3210377.3210663">https://doi.org/10.1145/3210377.3210663</a>'
  bibtex: '@inproceedings{Jung_Kolb_Scheideler_Sundermeier_2018, title={Brief Announcement:
    Competitive Routing in Hybrid Communication Networks}, DOI={<a href="https://doi.org/10.1145/3210377.3210663">10.1145/3210377.3210663</a>},
    booktitle={Proceedings of the 30th on Symposium on Parallelism in Algorithms and
    Architectures (SPAA)}, publisher={ACM Press}, author={Jung, Daniel and Kolb, Christina
    and Scheideler, Christian and Sundermeier, Jannik}, year={2018} }'
  chicago: 'Jung, Daniel, Christina Kolb, Christian Scheideler, and Jannik Sundermeier.
    “Brief Announcement: Competitive Routing in Hybrid Communication Networks.” In
    <i>Proceedings of the 30th on Symposium on Parallelism in Algorithms and Architectures
    (SPAA)</i>. ACM Press, 2018. <a href="https://doi.org/10.1145/3210377.3210663">https://doi.org/10.1145/3210377.3210663</a>.'
  ieee: 'D. Jung, C. Kolb, C. Scheideler, and J. Sundermeier, “Brief Announcement:
    Competitive Routing in Hybrid Communication Networks,” in <i>Proceedings of the
    30th on Symposium on Parallelism in Algorithms and Architectures (SPAA)</i>, Wien,
    2018.'
  mla: 'Jung, Daniel, et al. “Brief Announcement: Competitive Routing in Hybrid Communication
    Networks.” <i>Proceedings of the 30th on Symposium on Parallelism in Algorithms
    and Architectures (SPAA)</i>, ACM Press, 2018, doi:<a href="https://doi.org/10.1145/3210377.3210663">10.1145/3210377.3210663</a>.'
  short: 'D. Jung, C. Kolb, C. Scheideler, J. Sundermeier, in: Proceedings of the
    30th on Symposium on Parallelism in Algorithms and Architectures (SPAA), ACM Press,
    2018.'
conference:
  end_date: 2018-07-18
  location: Wien
  name: SPAA'18
  start_date: 2018-07-17
date_created: 2018-10-02T07:34:47Z
date_updated: 2022-01-06T07:01:12Z
ddc:
- '000'
department:
- _id: '63'
- _id: '79'
doi: 10.1145/3210377.3210663
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T13:48:10Z
  date_updated: 2018-11-02T13:48:10Z
  file_id: '5254'
  file_name: p231-jung-1.pdf
  file_size: 1025077
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T13:48:10Z
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: Proceedings of the 30th on Symposium on Parallelism in Algorithms and
  Architectures (SPAA)
publication_identifier:
  isbn:
  - '9781450357999'
publication_status: published
publisher: ACM Press
status: public
title: 'Brief Announcement: Competitive Routing in Hybrid Communication Networks'
type: conference
user_id: '38705'
year: '2018'
...
---
_id: '1209'
abstract:
- lang: eng
  text: 'My dissertation deals with the Gathering problem for swarms of n point-shaped
    robots on a grid, in which all robots of the swarm are supposed to gather at a
    previously undefined point. Special attention is paid to the strong limitation
    of robot capabilities. These include in particular the lack of global control,
    a global compass, global visibility and (global) communication skills. Furthermore,
    all robots are identical. The robots are given only local abilities. This includes
    a constant range of vision. The robots all work completely synchronously. In this
    work we present and analyze three different Gathering strategies in different
    robot models. We formally prove correctness and total running time: Chapter 4
    focuses on minimizing the available robot capabilities. The underlying strategy
    completes the gathering in O(n^2) time. For the following Chapters 5 and 6, the
    aim is to optimize the total running time under using only local robot capabilities:
    We additionally allow a constant-sized memory and a constant number of locally
    visible statuses (lights, flags). For the strategies of both chapters we show
    an asymptotically optimal running time of O(n). Unlike in Chapters 4 and 5, we
    additionally restrict connectivity and vision to an initially given chain connectivity
    in Chapter 6, where two chain neighbors must have a distance of 1 from each other.
    A robot can only see and interact with a constant number of its direct chain neighbors.'
author:
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
citation:
  ama: Jung D. <i>Local Strategies for Swarm Formations on a Grid</i>. Universität
    Paderborn; 2018. doi:<a href="https://doi.org/10.17619/UNIPB/1-271">10.17619/UNIPB/1-271</a>
  apa: Jung, D. (2018). <i>Local Strategies for Swarm Formations on a Grid</i>. Universität
    Paderborn. <a href="https://doi.org/10.17619/UNIPB/1-271">https://doi.org/10.17619/UNIPB/1-271</a>
  bibtex: '@book{Jung_2018, title={Local Strategies for Swarm Formations on a Grid},
    DOI={<a href="https://doi.org/10.17619/UNIPB/1-271">10.17619/UNIPB/1-271</a>},
    publisher={Universität Paderborn}, author={Jung, Daniel}, year={2018} }'
  chicago: Jung, Daniel. <i>Local Strategies for Swarm Formations on a Grid</i>. Universität
    Paderborn, 2018. <a href="https://doi.org/10.17619/UNIPB/1-271">https://doi.org/10.17619/UNIPB/1-271</a>.
  ieee: D. Jung, <i>Local Strategies for Swarm Formations on a Grid</i>. Universität
    Paderborn, 2018.
  mla: Jung, Daniel. <i>Local Strategies for Swarm Formations on a Grid</i>. Universität
    Paderborn, 2018, doi:<a href="https://doi.org/10.17619/UNIPB/1-271">10.17619/UNIPB/1-271</a>.
  short: D. Jung, Local Strategies for Swarm Formations on a Grid, Universität Paderborn,
    2018.
date_created: 2018-03-13T10:26:16Z
date_updated: 2024-07-12T12:05:00Z
department:
- _id: '63'
- _id: '26'
doi: 10.17619/UNIPB/1-271
language:
- iso: eng
project:
- _id: '1'
  grant_number: '160364472'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '5'
  grant_number: '160364472'
  name: SFB 901 - Subproject A1
publication_identifier:
  isbn:
  - 978-3-942647-99-1
publisher: Universität Paderborn
related_material:
  link:
  - relation: confirmation
    url: https://doi.org/10.17619/UNIPB/1-271
status: public
supervisor:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
title: Local Strategies for Swarm Formations on a Grid
type: dissertation
user_id: '1112'
year: '2018'
...
---
_id: '17811'
abstract:
- lang: eng
  text: "We consider a swarm of $n$ autonomous mobile robots, distributed on a\r\n2-dimensional
    grid. A basic task for such a swarm is the gathering process: All\r\nrobots have
    to gather at one (not predefined) place. A common local model for\r\nextremely
    simple robots is the following: The robots do not have a common\r\ncompass, only
    have a constant viewing radius, are autonomous and\r\nindistinguishable, can move
    at most a constant distance in each step, cannot\r\ncommunicate, are oblivious
    and do not have flags or states. The only gathering\r\nalgorithm under this robot
    model, with known runtime bounds, needs\r\n$\\mathcal{O}(n^2)$ rounds and works
    in the Euclidean plane. The underlying time\r\nmodel for the algorithm is the
    fully synchronous $\\mathcal{FSYNC}$ model. On\r\nthe other side, in the case
    of the 2-dimensional grid, the only known gathering\r\nalgorithms for the same
    time and a similar local model additionally require a\r\nconstant memory, states
    and \"flags\" to communicate these states to neighbors in\r\nviewing range. They
    gather in time $\\mathcal{O}(n)$.\r\n  In this paper we contribute the (to the
    best of our knowledge) first\r\ngathering algorithm on the grid that works under
    the same simple local model as\r\nthe above mentioned Euclidean plane strategy,
    i.e., without memory (oblivious),\r\n\"flags\" and states. We prove its correctness
    and an $\\mathcal{O}(n^2)$ time\r\nbound in the fully synchronous $\\mathcal{FSYNC}$
    time model. This time bound\r\nmatches the time bound of the best known algorithm
    for the Euclidean plane\r\nmentioned above. We say gathering is done if all robots
    are located within a\r\n$2\\times 2$ square, because in $\\mathcal{FSYNC}$ such
    configurations cannot be\r\nsolved."
author:
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Fischer M, Jung D, Meyer auf der Heide F. Gathering Anonymous, Oblivious Robots
    on a Grid. <i>arXiv:170203400</i>. 2017.
  apa: Fischer, M., Jung, D., &#38; Meyer auf der Heide, F. (2017). Gathering Anonymous,
    Oblivious Robots on a Grid. <i>ArXiv:1702.03400</i>.
  bibtex: '@article{Fischer_Jung_Meyer auf der Heide_2017, title={Gathering Anonymous,
    Oblivious Robots on a Grid}, journal={arXiv:1702.03400}, author={Fischer, Matthias
    and Jung, Daniel and Meyer auf der Heide, Friedhelm}, year={2017} }'
  chicago: Fischer, Matthias, Daniel Jung, and Friedhelm Meyer auf der Heide. “Gathering
    Anonymous, Oblivious Robots on a Grid.” <i>ArXiv:1702.03400</i>, 2017.
  ieee: M. Fischer, D. Jung, and F. Meyer auf der Heide, “Gathering Anonymous, Oblivious
    Robots on a Grid,” <i>arXiv:1702.03400</i>. 2017.
  mla: Fischer, Matthias, et al. “Gathering Anonymous, Oblivious Robots on a Grid.”
    <i>ArXiv:1702.03400</i>, 2017.
  short: M. Fischer, D. Jung, F. Meyer auf der Heide, ArXiv:1702.03400 (2017).
date_created: 2020-08-11T13:48:38Z
date_updated: 2022-01-06T06:53:20Z
department:
- _id: '63'
language:
- iso: eng
publication: arXiv:1702.03400
status: public
title: Gathering Anonymous, Oblivious Robots on a Grid
type: preprint
user_id: '15415'
year: '2017'
...
---
_id: '16347'
author:
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Fischer M, Jung D, Meyer auf der Heide F. Gathering Anonymous, Oblivious Robots
    on a Grid. In: Fernández Anta A, Jurdzinski T, Mosteiro MA, Zhang Y, eds. <i>Algorithms
    for Sensor Systems - 13th International Symposium on Algorithms and Experiments
    for Wireless Sensor Networks, {ALGOSENSORS}</i>. Vol 10718. Lecture Notes in Computer
    Science. Vienna, Austria: Springer; 2017:168-181. doi:<a href="https://doi.org/10.1007/978-3-319-72751-6_13">10.1007/978-3-319-72751-6_13</a>'
  apa: 'Fischer, M., Jung, D., &#38; Meyer auf der Heide, F. (2017). Gathering Anonymous,
    Oblivious Robots on a Grid. In A. Fernández Anta, T. Jurdzinski, M. A. Mosteiro,
    &#38; Y. Zhang (Eds.), <i>Algorithms for Sensor Systems - 13th International Symposium
    on Algorithms and Experiments for Wireless Sensor Networks, {ALGOSENSORS}</i>
    (Vol. 10718, pp. 168–181). Vienna, Austria: Springer. <a href="https://doi.org/10.1007/978-3-319-72751-6_13">https://doi.org/10.1007/978-3-319-72751-6_13</a>'
  bibtex: '@inproceedings{Fischer_Jung_Meyer auf der Heide_2017, place={Vienna, Austria},
    series={Lecture Notes in Computer Science}, title={Gathering Anonymous, Oblivious
    Robots on a Grid}, volume={10718}, DOI={<a href="https://doi.org/10.1007/978-3-319-72751-6_13">10.1007/978-3-319-72751-6_13</a>},
    booktitle={Algorithms for Sensor Systems - 13th International Symposium on Algorithms
    and Experiments for Wireless Sensor Networks, {ALGOSENSORS}}, publisher={Springer},
    author={Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm},
    editor={Fernández Anta, Antonio and Jurdzinski, Tomasz and Mosteiro, Miguel A.
    and Zhang, YanyongEditors}, year={2017}, pages={168–181}, collection={Lecture
    Notes in Computer Science} }'
  chicago: 'Fischer, Matthias, Daniel Jung, and Friedhelm Meyer auf der Heide. “Gathering
    Anonymous, Oblivious Robots on a Grid.” In <i>Algorithms for Sensor Systems -
    13th International Symposium on Algorithms and Experiments for Wireless Sensor
    Networks, {ALGOSENSORS}</i>, edited by Antonio Fernández Anta, Tomasz Jurdzinski,
    Miguel A. Mosteiro, and Yanyong Zhang, 10718:168–81. Lecture Notes in Computer
    Science. Vienna, Austria: Springer, 2017. <a href="https://doi.org/10.1007/978-3-319-72751-6_13">https://doi.org/10.1007/978-3-319-72751-6_13</a>.'
  ieee: M. Fischer, D. Jung, and F. Meyer auf der Heide, “Gathering Anonymous, Oblivious
    Robots on a Grid,” in <i>Algorithms for Sensor Systems - 13th International Symposium
    on Algorithms and Experiments for Wireless Sensor Networks, {ALGOSENSORS}</i>,
    2017, vol. 10718, pp. 168–181.
  mla: Fischer, Matthias, et al. “Gathering Anonymous, Oblivious Robots on a Grid.”
    <i>Algorithms for Sensor Systems - 13th International Symposium on Algorithms
    and Experiments for Wireless Sensor Networks, {ALGOSENSORS}</i>, edited by Antonio
    Fernández Anta et al., vol. 10718, Springer, 2017, pp. 168–81, doi:<a href="https://doi.org/10.1007/978-3-319-72751-6_13">10.1007/978-3-319-72751-6_13</a>.
  short: 'M. Fischer, D. Jung, F. Meyer auf der Heide, in: A. Fernández Anta, T. Jurdzinski,
    M.A. Mosteiro, Y. Zhang (Eds.), Algorithms for Sensor Systems - 13th International
    Symposium on Algorithms and Experiments for Wireless Sensor Networks, {ALGOSENSORS},
    Springer, Vienna, Austria, 2017, pp. 168–181.'
date_created: 2020-03-27T14:32:39Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: 10.1007/978-3-319-72751-6_13
editor:
- first_name: Antonio
  full_name: Fernández Anta, Antonio
  last_name: Fernández Anta
- first_name: Tomasz
  full_name: Jurdzinski, Tomasz
  last_name: Jurdzinski
- first_name: Miguel A.
  full_name: Mosteiro, Miguel A.
  last_name: Mosteiro
- first_name: Yanyong
  full_name: Zhang, Yanyong
  last_name: Zhang
intvolume: '     10718'
language:
- iso: eng
page: 168-181
place: Vienna, Austria
publication: Algorithms for Sensor Systems - 13th International Symposium on Algorithms
  and Experiments for Wireless Sensor Networks, {ALGOSENSORS}
publisher: Springer
series_title: Lecture Notes in Computer Science
status: public
title: Gathering Anonymous, Oblivious Robots on a Grid
type: conference
user_id: '15415'
volume: 10718
year: '2017'
...
---
_id: '16450'
abstract:
- lang: eng
  text: "In this paper, we solve the local gathering problem of a swarm of $n$\r\nindistinguishable,
    point-shaped robots on a two dimensional grid in\r\nasymptotically optimal time
    $\\mathcal{O}(n)$ in the fully synchronous\r\n$\\mathcal{FSYNC}$ time model. Given
    an arbitrarily distributed (yet connected)\r\nswarm of robots, the gathering problem
    on the grid is to locate all robots\r\nwithin a $2\\times 2$-sized area that is
    not known beforehand. Two robots are\r\nconnected if they are vertical or horizontal
    neighbors on the grid. The\r\nlocality constraint means that no global control,
    no compass, no global\r\ncommunication and only local vision is available; hence,
    a robot can only see\r\nits grid neighbors up to a constant $L_1$-distance, which
    also limits its\r\nmovements. A robot can move to one of its eight neighboring
    grid cells and if\r\ntwo or more robots move to the same location they are \\emph{merged}
    to be only\r\none robot. The locality constraint is the significant challenging
    issue here,\r\nsince robot movements must not harm the (only globally checkable)
    swarm\r\nconnectivity. For solving the gathering problem, we provide a synchronous\r\nalgorithm
    -- executed by every robot -- which ensures that robots merge without\r\nbreaking
    the swarm connectivity. In our model, robots can obtain a special\r\nstate, which
    marks such a robot to be performing specific connectivity\r\npreserving movements
    in order to allow later merge operations of the swarm.\r\nCompared to the grid,
    for gathering in the Euclidean plane for the same robot\r\nand time model the
    best known upper bound is $\\mathcal{O}(n^2)$."
author:
- first_name: 'Andreas '
  full_name: 'Cord-Landwehr, Andreas '
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Asymptotically Optimal
    Gathering on a Grid. <i>arXiv:160203303</i>. 2016.
  apa: Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der Heide, F. (2016).
    Asymptotically Optimal Gathering on a Grid. <i>ArXiv:1602.03303</i>.
  bibtex: '@article{Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016, title={Asymptotically
    Optimal Gathering on a Grid}, journal={arXiv:1602.03303}, author={Cord-Landwehr,
    Andreas  and Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm},
    year={2016} }'
  chicago: Cord-Landwehr, Andreas , Matthias Fischer, Daniel Jung, and Friedhelm Meyer
    auf der Heide. “Asymptotically Optimal Gathering on a Grid.” <i>ArXiv:1602.03303</i>,
    2016.
  ieee: A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide, “Asymptotically
    Optimal Gathering on a Grid,” <i>arXiv:1602.03303</i>. 2016.
  mla: Cord-Landwehr, Andreas, et al. “Asymptotically Optimal Gathering on a Grid.”
    <i>ArXiv:1602.03303</i>, 2016.
  short: A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide, ArXiv:1602.03303
    (2016).
date_created: 2020-04-07T07:20:47Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1602.03303'
language:
- iso: eng
publication: arXiv:1602.03303
status: public
title: Asymptotically Optimal Gathering on a Grid
type: preprint
user_id: '15415'
year: '2016'
...
---
_id: '16359'
abstract:
- lang: eng
  text: In this paper, we solve the local gathering problem of a swarm of n indistinguishable,
    point-shaped robots on a two dimensional grid in asymptotically optimal time O(n)
    in the fully synchronous FSYNC time model. Given an arbitrarily distributed (yet
    connected) swarm of robots, the gathering problem on the grid is to locate all
    robots within a 2x2- sized area that is not known beforehand. Two robots are connected
    if they are vertical or horizontal neighbors on the grid. The locality constraint
    means that no global control, no compass, no global communication and only local
    vision is available; hence, a robot can only see its grid neighbors up to a constant
    L1-distance, which also limits its movements. A robot can move to one of its eight
    neighboring grid cells and if two or more robots move to the same location they
    are merged to be only one robot. The locality constraint is the significant challenging
    issue here, since robot move- ments must not harm the (only globally checkable)
    swarm connectivity. For solving the gathering problem, we provide a synchronous
    algorithm { executed by every robot { which ensures that robots merge without
    breaking the swarm con- nectivity. In our model, robots can obtain a special state,
    which marks such a robot to be performing specific connec- tivity preserving movements
    in order to allow later merge operations of the swarm. Compared to the grid, for
    gath- ering in the Euclidean plane for the same robot and time model the best
    known upper bound is O(n^2).
author:
- first_name: Andreas
  full_name: Cord-Landwehr, Andreas
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Asymptotically
    Optimal Gathering on a Grid. In: <i>Proceedings of the 28th ACM Symposium on Parallelism
    in Algorithms and Architectures (SPAA)</i>. ACM; 2016:301-312. doi:<a href="https://doi.org/10.1145/2935764.2935789">10.1145/2935764.2935789</a>'
  apa: Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der Heide, F. (2016).
    Asymptotically Optimal Gathering on a Grid. In <i>Proceedings of the 28th ACM
    Symposium on Parallelism in Algorithms and Architectures (SPAA)</i> (pp. 301–312).
    ACM. <a href="https://doi.org/10.1145/2935764.2935789">https://doi.org/10.1145/2935764.2935789</a>
  bibtex: '@inproceedings{Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016, title={Asymptotically
    Optimal Gathering on a Grid}, DOI={<a href="https://doi.org/10.1145/2935764.2935789">10.1145/2935764.2935789</a>},
    booktitle={Proceedings of the 28th ACM Symposium on Parallelism in Algorithms
    and Architectures (SPAA)}, publisher={ACM}, author={Cord-Landwehr, Andreas and
    Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm}, year={2016},
    pages={301–312} }'
  chicago: Cord-Landwehr, Andreas, Matthias Fischer, Daniel Jung, and Friedhelm Meyer
    auf der Heide. “Asymptotically Optimal Gathering on a Grid.” In <i>Proceedings
    of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)</i>,
    301–12. ACM, 2016. <a href="https://doi.org/10.1145/2935764.2935789">https://doi.org/10.1145/2935764.2935789</a>.
  ieee: A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide, “Asymptotically
    Optimal Gathering on a Grid,” in <i>Proceedings of the 28th ACM Symposium on Parallelism
    in Algorithms and Architectures (SPAA)</i>, 2016, pp. 301–312.
  mla: Cord-Landwehr, Andreas, et al. “Asymptotically Optimal Gathering on a Grid.”
    <i>Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures
    (SPAA)</i>, ACM, 2016, pp. 301–12, doi:<a href="https://doi.org/10.1145/2935764.2935789">10.1145/2935764.2935789</a>.
  short: 'A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide, in: Proceedings
    of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA),
    ACM, 2016, pp. 301–312.'
date_created: 2020-04-01T12:46:35Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: 10.1145/2935764.2935789
language:
- iso: eng
page: 301-312
publication: Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and
  Architectures (SPAA)
publisher: ACM
status: public
title: Asymptotically Optimal Gathering on a Grid
type: conference
user_id: '15415'
year: '2016'
...
---
_id: '16360'
abstract:
- lang: eng
  text: 'We consider the following variant of the two dimensional gathering problem
    for swarms of robots: Given a swarm of n indistinguishable, point shaped robots
    on a two dimensional grid. Initially, the robots form a closed chain on the grid
    and must keep this connectivity during the whole process of their gathering. Connectivity
    means, that neighboring robots of the chain need to be positioned at the same
    or neighboring points of the grid. In our model, gathering means to keep shortening
    the chain until the robots are located inside a 2*2 subgrid. Our model is completely
    local (no global control, no global coordinates, no compass, no global communication
    or vision, ...). Each robot can only see its next constant number of left and
    right neighbors on the chain. This fixed constant is called the viewing path length.
    All its operations and detections are restricted to this constant number of robots.
    Other robots, even if located at neighboring or the same grid point cannot be
    detected. Only based on the relative positions of its detectable chain neighbors,
    a robot can decide to obtain a certain state. Based on this state and their local
    knowledge, the robots do local modifications to the chain by moving to neighboring
    grid points without breaking the chain. These modifications are performed without
    the knowledge whether they lead to a global progress or not. We assume the fully
    synchronous FSYNC model. For this problem, we present a gathering algorithm which
    needs linear time. This result generalizes a result, where an open chain with
    specified distinguishable (and fixed) endpoints is considered. '
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Andreas
  full_name: Cord-Landwehr, Andreas
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Abshoff S, Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Gathering
    a Closed Chain of Robots on a Grid. In: <i>Proceedings of the 30th International
    Parallel and Distributed Processing Symposium (IPDPS)</i>. IEEE; 2016:689-699.
    doi:<a href="https://doi.org/10.1109/IPDPS.2016.51">10.1109/IPDPS.2016.51</a>'
  apa: Abshoff, S., Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der
    Heide, F. (2016). Gathering a Closed Chain of Robots on a Grid. In <i>Proceedings
    of the 30th International Parallel and Distributed Processing Symposium (IPDPS)</i>
    (pp. 689–699). IEEE. <a href="https://doi.org/10.1109/IPDPS.2016.51">https://doi.org/10.1109/IPDPS.2016.51</a>
  bibtex: '@inproceedings{Abshoff_Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016,
    title={Gathering a Closed Chain of Robots on a Grid}, DOI={<a href="https://doi.org/10.1109/IPDPS.2016.51">10.1109/IPDPS.2016.51</a>},
    booktitle={Proceedings of the 30th International Parallel and Distributed Processing
    Symposium (IPDPS)}, publisher={IEEE}, author={Abshoff, Sebastian and Cord-Landwehr,
    Andreas and Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm},
    year={2016}, pages={689–699} }'
  chicago: Abshoff, Sebastian, Andreas Cord-Landwehr, Matthias Fischer, Daniel Jung,
    and Friedhelm Meyer auf der Heide. “Gathering a Closed Chain of Robots on a Grid.”
    In <i>Proceedings of the 30th International Parallel and Distributed Processing
    Symposium (IPDPS)</i>, 689–99. IEEE, 2016. <a href="https://doi.org/10.1109/IPDPS.2016.51">https://doi.org/10.1109/IPDPS.2016.51</a>.
  ieee: S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide,
    “Gathering a Closed Chain of Robots on a Grid,” in <i>Proceedings of the 30th
    International Parallel and Distributed Processing Symposium (IPDPS)</i>, 2016,
    pp. 689–699.
  mla: Abshoff, Sebastian, et al. “Gathering a Closed Chain of Robots on a Grid.”
    <i>Proceedings of the 30th International Parallel and Distributed Processing Symposium
    (IPDPS)</i>, IEEE, 2016, pp. 689–99, doi:<a href="https://doi.org/10.1109/IPDPS.2016.51">10.1109/IPDPS.2016.51</a>.
  short: 'S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide,
    in: Proceedings of the 30th International Parallel and Distributed Processing
    Symposium (IPDPS), IEEE, 2016, pp. 689–699.'
date_created: 2020-04-01T12:56:43Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: 10.1109/IPDPS.2016.51
language:
- iso: eng
page: 689-699
publication: Proceedings of the 30th International Parallel and Distributed Processing
  Symposium (IPDPS)
publisher: IEEE
status: public
title: Gathering a Closed Chain of Robots on a Grid
type: conference
user_id: '15415'
year: '2016'
...
---
_id: '16449'
abstract:
- lang: eng
  text: "We consider the following variant of the two dimensional gathering problem\r\nfor
    swarms of robots: Given a swarm of $n$ indistinguishable, point shaped\r\nrobots
    on a two dimensional grid. Initially, the robots form a closed chain on\r\nthe
    grid and must keep this connectivity during the whole process of their\r\ngathering.
    Connectivity means, that neighboring robots of the chain need to be\r\npositioned
    at the same or neighboring points of the grid. In our model,\r\ngathering means
    to keep shortening the chain until the robots are located\r\ninside a $2\\times
    2$ subgrid. Our model is completely local (no global control,\r\nno global coordinates,
    no compass, no global communication or vision, \\ldots).\r\nEach robot can only
    see its next constant number of left and right neighbors on\r\nthe chain. This
    fixed constant is called the \\emph{viewing path length}. All\r\nits operations
    and detections are restricted to this constant number of robots.\r\nOther robots,
    even if located at neighboring or the same grid point cannot be\r\ndetected. Only
    based on the relative positions of its detectable chain\r\nneighbors, a robot
    can decide to obtain a certain state. Based on this state\r\nand their local knowledge,
    the robots do local modifications to the chain by\r\nmoving to neighboring grid
    points without breaking the chain. These\r\nmodifications are performed without
    the knowledge whether they lead to a global\r\nprogress or not. We assume the
    fully synchronous $\\mathcal{FSYNC}$ model. For\r\nthis problem, we present a
    gathering algorithm which needs linear time. This\r\nresult generalizes the result
    from \\cite{hopper}, where an open chain with\r\nspecified distinguishable (and
    fixed) endpoints is considered."
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: 'Andreas '
  full_name: 'Cord-Landwehr, Andreas '
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Abshoff S, Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Gathering
    a Closed Chain of Robots on a Grid. <i>arXiv:151005454</i>. 2015.
  apa: Abshoff, S., Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der
    Heide, F. (2015). Gathering a Closed Chain of Robots on a Grid. <i>ArXiv:1510.05454</i>.
  bibtex: '@article{Abshoff_Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2015, title={Gathering
    a Closed Chain of Robots on a Grid}, journal={arXiv:1510.05454}, author={Abshoff,
    Sebastian and Cord-Landwehr, Andreas  and Fischer, Matthias and Jung, Daniel and
    Meyer auf der Heide, Friedhelm}, year={2015} }'
  chicago: Abshoff, Sebastian, Andreas  Cord-Landwehr, Matthias Fischer, Daniel Jung,
    and Friedhelm Meyer auf der Heide. “Gathering a Closed Chain of Robots on a Grid.”
    <i>ArXiv:1510.05454</i>, 2015.
  ieee: S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide,
    “Gathering a Closed Chain of Robots on a Grid,” <i>arXiv:1510.05454</i>. 2015.
  mla: Abshoff, Sebastian, et al. “Gathering a Closed Chain of Robots on a Grid.”
    <i>ArXiv:1510.05454</i>, 2015.
  short: S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide,
    ArXiv:1510.05454 (2015).
date_created: 2020-04-07T07:20:46Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1510.05454'
language:
- iso: eng
publication: arXiv:1510.05454
status: public
title: Gathering a Closed Chain of Robots on a Grid
type: preprint
user_id: '15415'
year: '2015'
...
---
_id: '16397'
abstract:
- lang: eng
  text: "In the gathering problem, n autonomous robots have to meet on a single point.\r\nWe
    consider the gathering of a closed chain of point-shaped, anonymous robots\r\non
    a grid. The robots only have local knowledge about a constant number of\r\nneighboring
    robots along the chain in both directions. Actions are performed in\r\nthe fully
    synchronous time model FSYNC. Every robot has a limited memory that\r\nmay contain
    one timestamp of the global clock, also visible to its direct\r\nneighbors. In
    this synchronous time model, there is no limited view gathering\r\nalgorithm known
    to perform better than in quadratic runtime. The configurations\r\nthat show the
    quadratic lower bound are closed chains. In this paper, we\r\npresent the first
    sub-quadratic---in fact linear time---gathering algorithm for\r\nclosed chains
    on a grid."
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Andreas
  full_name: Andreas Cord-Landwehr, Andreas
  last_name: Andreas Cord-Landwehr
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Abshoff S, Andreas Cord-Landwehr A, Jung D, Meyer auf der Heide F. Towards
    Gathering Robots with Limited View in Linear Time: The Closed  Chain Case. <i>ArXiv:
    150104877</i>. 2015.'
  apa: 'Abshoff, S., Andreas Cord-Landwehr, A., Jung, D., &#38; Meyer auf der Heide,
    F. (2015). Towards Gathering Robots with Limited View in Linear Time: The Closed 
    Chain Case. <i>ArXiv: 1501.04877</i>.'
  bibtex: '@article{Abshoff_Andreas Cord-Landwehr_Jung_Meyer auf der Heide_2015, title={Towards
    Gathering Robots with Limited View in Linear Time: The Closed  Chain Case}, journal={ArXiv:
    1501.04877}, author={Abshoff, Sebastian and Andreas Cord-Landwehr, Andreas and
    Jung, Daniel and Meyer auf der Heide, Friedhelm}, year={2015} }'
  chicago: 'Abshoff, Sebastian, Andreas Andreas Cord-Landwehr, Daniel Jung, and Friedhelm
    Meyer auf der Heide. “Towards Gathering Robots with Limited View in Linear Time:
    The Closed  Chain Case.” <i>ArXiv: 1501.04877</i>, 2015.'
  ieee: 'S. Abshoff, A. Andreas Cord-Landwehr, D. Jung, and F. Meyer auf der Heide,
    “Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain
    Case,” <i>ArXiv: 1501.04877</i>. 2015.'
  mla: 'Abshoff, Sebastian, et al. “Towards Gathering Robots with Limited View in
    Linear Time: The Closed  Chain Case.” <i>ArXiv: 1501.04877</i>, 2015.'
  short: 'S. Abshoff, A. Andreas Cord-Landwehr, D. Jung, F. Meyer auf der Heide, ArXiv:
    1501.04877 (2015).'
date_created: 2020-04-03T09:36:54Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1501.04877'
language:
- iso: eng
publication: 'ArXiv: 1501.04877'
status: public
title: 'Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain
  Case'
type: preprint
user_id: '15415'
year: '2015'
...
---
_id: '452'
abstract:
- lang: eng
  text: Today's networks, like the Internet, do not consist of one but a mixture of
    several interconnected networks. Each has individual qualities and hence the performance
    of a network node results from the networks' interplay.We introduce a new game
    theoretic model capturing the interplay between a high-speed backbone network
    and a low-speed general purpose network. In our model, n nodes are connected by
    a static network and each node can decide individually to become a gateway node.
    A gateway node pays a fixed price for its connection to the high-speed network,
    but can utilize the high-speed network to gain communication distance 0 to all
    other gateways. Communication distances in the low-speed network are given by
    the hop distances. The effective communication distance between any two nodes
    then is given by the shortest path, which is possibly improved by using gateways
    as shortcuts.Every node v has the objective to minimize its communication costs,
    given by the sum (SUM-game) or maximum (MAX-game) of the effective communication
    distances from v to all other nodes plus a fixed price \alpha > 0, if it decides
    to be a gateway. For both games and different ranges of \alpha, we study the existence
    of equilibria, the price of anarchy, and convergence properties of best-response
    dynamics.
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Andreas
  full_name: Cord-Landwehr, Andreas
  last_name: Cord-Landwehr
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Alexander
  full_name: Skopalik, Alexander
  id: '40384'
  last_name: Skopalik
citation:
  ama: 'Abshoff S, Cord-Landwehr A, Jung D, Skopalik A. Brief Announcement: A Model
    for Multilevel Network Games. In: Lavi R, ed. <i>Proceedings of the 7th International
    Symposium on Algorithmic Game Theory (SAGT)</i>. LNCS. ; 2014:294.'
  apa: 'Abshoff, S., Cord-Landwehr, A., Jung, D., &#38; Skopalik, A. (2014). Brief
    Announcement: A Model for Multilevel Network Games. In R. Lavi (Ed.), <i>Proceedings
    of the 7th International Symposium on Algorithmic Game Theory (SAGT)</i> (p. 294).'
  bibtex: '@inproceedings{Abshoff_Cord-Landwehr_Jung_Skopalik_2014, series={LNCS},
    title={Brief Announcement: A Model for Multilevel Network Games}, booktitle={Proceedings
    of the 7th International Symposium on Algorithmic Game Theory (SAGT)}, author={Abshoff,
    Sebastian and Cord-Landwehr, Andreas and Jung, Daniel and Skopalik, Alexander},
    editor={Lavi, RonEditor}, year={2014}, pages={294}, collection={LNCS} }'
  chicago: 'Abshoff, Sebastian, Andreas Cord-Landwehr, Daniel Jung, and Alexander
    Skopalik. “Brief Announcement: A Model for Multilevel Network Games.” In <i>Proceedings
    of the 7th International Symposium on Algorithmic Game Theory (SAGT)</i>, edited
    by Ron Lavi, 294. LNCS, 2014.'
  ieee: 'S. Abshoff, A. Cord-Landwehr, D. Jung, and A. Skopalik, “Brief Announcement:
    A Model for Multilevel Network Games,” in <i>Proceedings of the 7th International
    Symposium on Algorithmic Game Theory (SAGT)</i>, 2014, p. 294.'
  mla: 'Abshoff, Sebastian, et al. “Brief Announcement: A Model for Multilevel Network
    Games.” <i>Proceedings of the 7th International Symposium on Algorithmic Game
    Theory (SAGT)</i>, edited by Ron Lavi, 2014, p. 294.'
  short: 'S. Abshoff, A. Cord-Landwehr, D. Jung, A. Skopalik, in: R. Lavi (Ed.), Proceedings
    of the 7th International Symposium on Algorithmic Game Theory (SAGT), 2014, p.
    294.'
date_created: 2017-10-17T12:42:20Z
date_updated: 2022-01-06T07:01:08Z
ddc:
- '040'
department:
- _id: '63'
- _id: '541'
editor:
- first_name: Ron
  full_name: Lavi, Ron
  last_name: Lavi
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-16T11:24:40Z
  date_updated: 2018-03-16T11:24:40Z
  file_id: '1343'
  file_name: 452-title_multilevel-sagt.pdf
  file_size: 84783
  relation: main_file
  success: 1
file_date_updated: 2018-03-16T11:24:40Z
has_accepted_license: '1'
language:
- iso: eng
page: '294'
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subproject A1
- _id: '7'
  name: SFB 901 - Subproject A3
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 7th International Symposium on Algorithmic Game Theory
  (SAGT)
series_title: LNCS
status: public
title: 'Brief Announcement: A Model for Multilevel Network Games'
type: conference
user_id: '15415'
year: '2014'
...
---
_id: '395'
abstract:
- lang: eng
  text: We consider a multilevel network game, where nodes can improvetheir communication
    costs by connecting to a high-speed network.The n nodes are connected by a static
    network and each node can decideindividually to become a gateway to the high-speed
    network. The goalof a node v is to minimize its private costs, i.e., the sum (SUM-game)
    ormaximum (MAX-game) of communication distances from v to all othernodes plus
    a fixed price α > 0 if it decides to be a gateway. Between gatewaysthe communication
    distance is 0, and gateways also improve othernodes’ distances by behaving as
    shortcuts. For the SUM-game, we showthat for α ≤ n − 1, the price of anarchy is
    Θ (n/√α) and in this rangeequilibria always exist. In range α ∈ (n−1, n(n−1))
    the price of anarchyis Θ(√α), and for α ≥ n(n − 1) it is constant. For the MAX-game,
    weshow that the price of anarchy is either Θ (1 + n/√α), for α ≥ 1, orelse 1.
    Given a graph with girth of at least 4α, equilibria always exist.Concerning the
    dynamics, both games are not potential games. For theSUM-game, we even show that
    it is not weakly acyclic.
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Andreas
  full_name: Cord-Landwehr, Andreas
  last_name: Cord-Landwehr
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Alexander
  full_name: Skopalik, Alexander
  id: '40384'
  last_name: Skopalik
citation:
  ama: 'Abshoff S, Cord-Landwehr A, Jung D, Skopalik A. Multilevel Network Games.
    In: <i>Proceedings of the 10th International Conference on Web and Internet Economics
    (WINE)</i>. LNCS. ; 2014:435-440. doi:<a href="https://doi.org/10.1007/978-3-319-13129-0_36">10.1007/978-3-319-13129-0_36</a>'
  apa: Abshoff, S., Cord-Landwehr, A., Jung, D., &#38; Skopalik, A. (2014). Multilevel
    Network Games. In <i>Proceedings of the 10th International Conference on Web and
    Internet Economics (WINE)</i> (pp. 435–440). <a href="https://doi.org/10.1007/978-3-319-13129-0_36">https://doi.org/10.1007/978-3-319-13129-0_36</a>
  bibtex: '@inproceedings{Abshoff_Cord-Landwehr_Jung_Skopalik_2014, series={LNCS},
    title={Multilevel Network Games}, DOI={<a href="https://doi.org/10.1007/978-3-319-13129-0_36">10.1007/978-3-319-13129-0_36</a>},
    booktitle={Proceedings of the 10th International Conference on Web and Internet
    Economics (WINE)}, author={Abshoff, Sebastian and Cord-Landwehr, Andreas and Jung,
    Daniel and Skopalik, Alexander}, year={2014}, pages={435–440}, collection={LNCS}
    }'
  chicago: Abshoff, Sebastian, Andreas Cord-Landwehr, Daniel Jung, and Alexander Skopalik.
    “Multilevel Network Games.” In <i>Proceedings of the 10th International Conference
    on Web and Internet Economics (WINE)</i>, 435–40. LNCS, 2014. <a href="https://doi.org/10.1007/978-3-319-13129-0_36">https://doi.org/10.1007/978-3-319-13129-0_36</a>.
  ieee: S. Abshoff, A. Cord-Landwehr, D. Jung, and A. Skopalik, “Multilevel Network
    Games,” in <i>Proceedings of the 10th International Conference on Web and Internet
    Economics (WINE)</i>, 2014, pp. 435–440.
  mla: Abshoff, Sebastian, et al. “Multilevel Network Games.” <i>Proceedings of the
    10th International Conference on Web and Internet Economics (WINE)</i>, 2014,
    pp. 435–40, doi:<a href="https://doi.org/10.1007/978-3-319-13129-0_36">10.1007/978-3-319-13129-0_36</a>.
  short: 'S. Abshoff, A. Cord-Landwehr, D. Jung, A. Skopalik, in: Proceedings of the
    10th International Conference on Web and Internet Economics (WINE), 2014, pp.
    435–440.'
date_created: 2017-10-17T12:42:09Z
date_updated: 2022-01-06T06:59:59Z
ddc:
- '040'
department:
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doi: 10.1007/978-3-319-13129-0_36
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publication: Proceedings of the 10th International Conference on Web and Internet
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series_title: LNCS
status: public
title: Multilevel Network Games
type: conference
user_id: '15415'
year: '2014'
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