Local 3-approximation algorithms for weighted dominating set and vertex cover in quasi unit-disk graphs

Workshop presentation

Authors: Marja Hassinen, Valentin Polishchuk, and Jukka Suomela
Title: Local 3-approximation algorithms for weighted dominating set and vertex cover in quasi unit-disk graphs
Workshop: 2nd International Workshop on Localized Algorithms and Protocols for Wireless Sensor Networks (LOCALGOS), Santorini Island, Greece, June 2008
Proceedings: Koen Langendoen (Ed.): DCOSS ’08. June 11 – 14, Santorini Island, Greece. Adjunct workshop proceedings. WITS, IWSNE, CPS-CA, WEWSN, LOCALGOS, ProSense/WiDeploy
ISBN: 978-90-9023209-6
pages V.9–V.12
Links: authors’ version
presentation, 14 June 2008
workshop · conference
Abstract:
We present a simple 3-approximation algorithm for minimum-weight dominating set and minimum-weight vertex cover in unit-disk graphs and quasi unit-disk graphs in which each node knows its coordinates. The algorithm is local: the output of a node depends solely on the input within its constant-radius neighbourhood. The local horizon of the algorithm is small, both in the worst case and on average.
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