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APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
13 years 8 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
JCO
2008
134views more  JCO 2008»
13 years 5 months ago
On minimum m -connected k -dominating set problem in unit disc graphs
Minimum m-connected k-dominating set problem is as follows: Given a graph G = (V,E) and two natural numbers m and k, find a subset S V of minimal size such that every vertex in V ...
Weiping Shang, F. Frances Yao, Peng-Jun Wan, Xiaod...
OL
2011
242views Neural Networks» more  OL 2011»
12 years 12 months ago
On connected domination in unit ball graphs
Given a simple undirected graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D inducing a connected subgraph such that each ve...
Sergiy Butenko, Sera Kahruman-Anderoglu, Oleksii U...
MOBIHOC
2002
ACM
14 years 4 months ago
Message-optimal connected dominating sets in mobile ad hoc networks
A connected dominating set (CDS) for a graph G(V, E) is a subset V of V , such that each node in V - V is adjacent to some node in V , and V induces a connected subgraph. A CDS ha...
Khaled M. Alzoubi, Peng-Jun Wan, Ophir Frieder
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 3 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