---
_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: Proceedings of the 9th International Symposium on Algorithms
and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics
(ALGOSENSORS). LNCS. ; 2013:217-227. doi:10.1007/978-3-642-45346-5_16'
apa: Markarian, C., Meyer auf der Heide, F., & Schubert, M. (2013). A Distributed
Approximation Algorithm for Strongly Connected Dominating-Absorbent Sets in Asymmetric
Wireless Ad-Hoc Networks. In Proceedings of the 9th International Symposium
on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed
Robotics (ALGOSENSORS) (pp. 217–227). https://doi.org/10.1007/978-3-642-45346-5_16
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={10.1007/978-3-642-45346-5_16},
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 Proceedings of the 9th International
Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks
and Distributed Robotics (ALGOSENSORS), 217–27. LNCS, 2013. https://doi.org/10.1007/978-3-642-45346-5_16.
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 Proceedings of the 9th International Symposium on Algorithms
and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics
(ALGOSENSORS), 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.” Proceedings
of the 9th International Symposium on Algorithms and Experiments for Sensor Systems,
Wireless Networks and Distributed Robotics (ALGOSENSORS), 2013, pp. 217–27,
doi:10.1007/978-3-642-45346-5_16.
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'
...