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» A New Upper Bound on the Total Domination Number of a Graph
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COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 5 months ago
A New Upper Bound on the Total Domination Number of a Graph
Michael A. Henning, Anders Yeo
DM
2008
119views more  DM 2008»
13 years 5 months ago
A generalised upper bound for the k-tuple domination number
In this paper, we provide an upper bound for the k-tuple domination number that generalises known upper bounds for the double and triple domination numbers. We prove that for any ...
Andrei Gagarin, Vadim E. Zverovich
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 years 5 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
DM
2006
134views more  DM 2006»
13 years 5 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...