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» 3d local algorithm for dominating sets of unit disk graphs
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CCCG
2010
14 years 11 months ago
3d local algorithm for dominating sets of unit disk graphs
A dominating set of a graph G = (V, E) is a subset V V of the nodes such that for all nodes v V , either v V or a neighbor u of v is in V . Several routing protocols in ad hoc ...
Alaa Eddien Abdallah, Thomas Fevens, Jaroslav Opat...
106
Voted
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
14 years 10 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
141
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APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 2 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...
DC
2010
14 years 10 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
93
Voted
AHSWN
2008
95views more  AHSWN 2008»
14 years 10 months ago
Incremental Construction of k-Dominating Sets in Wireless Sensor Networks
Given a graph G, a k-dominating set of G is a subset S of its vertices with the property that every vertex of G is either in S or has at least k neighbors in S. We present a new i...
Mathieu Couture, Michel Barbeau, Prosenjit Bose, E...