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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 4 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 8 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 4 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 4 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 4 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...