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» The chromatic covering number of a graph
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JCT
2007
111views more  JCT 2007»
13 years 7 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky
COCOON
2005
Springer
14 years 28 days ago
Power Domination Problem in Graphs
To monitor an electric power system by placing as few phase measurement units (PMUs) as possible is closely related to the famous vertex cover problem and domination problem in gr...
Chung-Shou Liao, Der-Tsai Lee
ESA
2007
Springer
115views Algorithms» more  ESA 2007»
14 years 1 months ago
Approximation of Partial Capacitated Vertex Cover
We study the partial capacitated vertex cover problem (pcvc) in which the input consists of a graph G and a covering requirement L. Each edge e in G is associated with a demand (o...
Reuven Bar-Yehuda, Guy Flysher, Julián Mest...
FCT
2009
Springer
14 years 1 months ago
Competitive Group Testing and Learning Hidden Vertex Covers with Minimum Adaptivity
Suppose that we are given a set of n elements d of which are “defective”. A group test can check for any subset, called a pool, whether it contains a defective. It is well know...
Peter Damaschke, Azam Sheikh Muhammad
COR
2000
129views more  COR 2000»
13 years 7 months ago
Heuristics for the multi-vehicle covering tour problem
The multi-vehicle covering tour problem is de"ned on a graph G"(<6=, E), where = is a set of vertices that must collectively be covered by up to m vehicles. The probl...
Mondher Hachicha, M. John Hodgson, Gilbert Laporte...