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DOI: 10.4230/LIPIcs.DISC.2021.13
URN: urn:nbn:de:0030-drops-148159
URL: https://drops.dagstuhl.de/opus/volltexte/2021/14815/
Bonamy, Marthe ; Cook, Linda ; Groenland, Carla ; Wesolek, Alexandra
A Tight Local Algorithm for the Minimum Dominating Set Problem in Outerplanar Graphs
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Abstract
We show that there is a deterministic local algorithm (constant-time distributed graph algorithm) that finds a 5-approximation of a minimum dominating set on outerplanar graphs. We show there is no such algorithm that finds a (5-ε)-approximation, for any ε > 0. Our algorithm only requires knowledge of the degree of a vertex and of its neighbors, so that large messages and unique identifiers are not needed.
BibTeX - Entry
@InProceedings{bonamy_et_al:LIPIcs.DISC.2021.13,
author = {Bonamy, Marthe and Cook, Linda and Groenland, Carla and Wesolek, Alexandra},
title = {{A Tight Local Algorithm for the Minimum Dominating Set Problem in Outerplanar Graphs}},
booktitle = {35th International Symposium on Distributed Computing (DISC 2021)},
pages = {13:1--13:18},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-210-5},
ISSN = {1868-8969},
year = {2021},
volume = {209},
editor = {Gilbert, Seth},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/14815},
URN = {urn:nbn:de:0030-drops-148159},
doi = {10.4230/LIPIcs.DISC.2021.13},
annote = {Keywords: Outerplanar graphs, dominating set, LOCAL model, constant-factor approximation algorithm}
}
| Keywords: | Outerplanar graphs, dominating set, LOCAL model, constant-factor approximation algorithm | |
| Seminar: | 35th International Symposium on Distributed Computing (DISC 2021) | |
| Issue date: | 2021 | |
| Date of publication: | 04.10.2021 |
