Upper bounds on the paired-domination number

نویسندگان

  • Xue-Gang Chen
  • Wai Chee Shiu
  • Wai Hong Chan
چکیده

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 γpr (G). In this work, we present several upper bounds on the paired-domination number in terms of the maximum degree, minimum degree, girth and order. c © 2008 Published by Elsevier Ltd

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2008