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» Approximation Algorithms for Dominating Set in Disk Graphs
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ICDCS
2008
IEEE
15 years 4 months ago
Distributed Connected Dominating Set Construction in Geometric k-Disk Graphs
In this paper, we study the problem of minimum connected dominating set in geometric k-disk graphs. This research is motivated by the problem of virtual backbone construction in w...
Kai Xing, Wei Cheng, E. K. Park, Shmuel Rotenstrei...
WG
2004
Springer
15 years 2 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
DC
2010
14 years 9 months ago
An optimal maximal independent set algorithm for bounded-independence graphs
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...
Johannes Schneider, Roger Wattenhofer
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
14 years 8 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
COCOON
2007
Springer
15 years 3 months ago
Distributed Approximation Algorithms for Weighted Problems in Minor-Closed Families
We give efficient distributed approximation algorithms for weighted versions of the maximum matching problem and the minimum dominating set problem for graphs from minor-closed fam...
Andrzej Czygrinow, Michal Hanckowiak