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DAM
2006
88views more  DAM 2006»
14 years 9 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»
15 years 1 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»
14 years 9 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
15 years 9 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»
15 years 2 months 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