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DAM
2006
88views more  DAM 2006»
13 years 7 months ago
Domination analysis for minimum multiprocessor scheduling
Let P be a combinatorial optimization problem, and let A be an approximation algorithm for P. The domination ratio domr(A, s) is the maximal real q such that the solution x(I) obt...
Gregory Gutin, Tommy R. Jensen, Anders Yeo
CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
13 years 11 months ago
Distributed Approximation Algorithms for Planar Graphs
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
13 years 7 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
MOBIHOC
2002
ACM
14 years 7 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
WADS
2005
Springer
114views Algorithms» more  WADS 2005»
14 years 25 days ago
Linear Time Algorithms for Generalized Edge Dominating Set Problems
Abstract. In this paper we consider a generalization of the edge dominating set (EDS) problem, in which each edge e needs to be covered be times and refer to this as the b-EDS prob...
André Berger, Ojas Parekh