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Upper signed domination number

✍ Scribed by Huajun Tang; Yaojun Chen


Book ID
108113846
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
132 KB
Volume
308
Category
Article
ISSN
0012-365X

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Upper bounds on the paired-domination nu
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A set S of vertices in a graph G is a paired-dominating set of G if every vertex of G is adjacent to some vertex in S and the subgraph induced by S contains a perfect matching. The minimum cardinality of a paired-dominating set of G is the paireddomination number of G, denoted by Ξ³ pr (G). In this w

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In answer to the open questions proposed by Henning and Slater, we give sharp upper bounds on the upper signed domination number of a regular graph and on the signed domination number of a connected cubic graph. Let G = (V, E) be a simple graph. For v E V, we denote by d(u) the degree of v in V, by