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» Total Domination and Matching Numbers in Claw-Free Graphs
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COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 years 7 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
ESA
2006
Springer
134views Algorithms» more  ESA 2006»
13 years 11 months ago
Graph Coloring with Rejection
We consider the following vertex coloring problem. We are given an undirected graph G = (V, E), where each vertex v is associated with a penalty rejection cost rv. We need to choos...
Leah Epstein, Asaf Levin, Gerhard J. Woeginger
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 7 months ago
A New Upper Bound on the Total Domination Number of a Graph
Michael A. Henning, Anders Yeo
DM
2008
137views more  DM 2008»
13 years 7 months ago
Nordhaus-Gaddum results for restrained domination and total restrained domination in graphs
Let G = (V, E) be a graph. A set S V is a total restrained dominating set if every vertex is adjacent to a vertex in S and every vertex of V - S is adjacent to a vertex in V - S....
Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Jo...
DM
2006
134views more  DM 2006»
13 years 7 months ago
Simultaneous graph parameters: Factor domination and factor total domination
Let F1, F2, . . . , Fk be graphs with the same vertex set V . A subset S V is a factor dominating set if in every Fi every vertex not in S is adjacent to a vertex in S, and a fac...
Peter Dankelmann, Michael A. Henning, Wayne Goddar...