Local PTAS for independent set and vertex cover in location aware unit disk graphs (Extended Abstract)

Andreas Wiese, Evangelos Kranakis

Publikation: Beitrag in Buch/Bericht/KonferenzbandKonferenzbeitragBegutachtung

9 Zitate (Scopus)

Abstract

We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geographic coordinates in the plane (location aware nodes). Our algorithms are local in the sense that the status of each node v (whether or not v is in the computed set) depends only on the vertices which are a constant number of hops away from v. This constant is independent of the size of the network. We give upper bounds for the constant depending on the desired approximation ratio. We show that the processing time which is necessary in order to compute the status of a single vertex is bounded by a polynomial in the number of vertices which are at most a constant number of vertices away from it. Our algorithms give the best possible approximation ratios for this setting. The technique which we use to obtain the algorithm for vertex cover can also be employed for constructing the first global PTAS for this problem in unit disk graph which does not need the embedding of the graph as part of the input.

OriginalspracheEnglisch
TitelDistributed Computing in Sensor Systems - 4th IEEE International Conference, DCOSS 2008, Proceedings
Seiten415-431
Seitenumfang17
DOIs
PublikationsstatusVeröffentlicht - 2008
Extern publiziertJa
Veranstaltung4th IEEE International Conference on Distributed Computing in Sensor Systems, DCOSS 2008 - Santorini Island, Griechenland
Dauer: 11 Juni 200814 Juni 2008

Publikationsreihe

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Band5067 LNCS
ISSN (Print)0302-9743
ISSN (elektronisch)1611-3349

Konferenz

Konferenz4th IEEE International Conference on Distributed Computing in Sensor Systems, DCOSS 2008
Land/GebietGriechenland
OrtSantorini Island
Zeitraum11/06/0814/06/08

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