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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...
DM
2006
108views more  DM 2006»
14 years 10 months ago
Optimal broadcast domination in polynomial time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that different vertices can be assigned different domination...
Pinar Heggernes, Daniel Lokshtanov
COCOON
2007
Springer
15 years 4 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
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
14 years 10 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
ARSCOM
2007
65views more  ARSCOM 2007»
14 years 10 months ago
Odd and Even Dominating Sets with Open Neighborhoods
A subset D of the vertex set V of a graph is called an open oddd dominating set if each vertex in V is adjacent to an odd number of vertices in D (adjacency is irreflexive). In t...
John L. Goldwasser, William Klostermeyer