
A set S of vertices in a graph G is a paired dominating set if every vertex of G is adjacent to a vertex in S and the subgraph induced by S contains a perfect matching (not necessarily as an induced subgraph). The minimum cardinality of a paired dominating set of G is the paired domination number of G. This chapter presents a survey of the major results on paired domination with an emphasis on bounds for the paired domination number.
Mathematics and Statistics, matching number, paired dominating set, paired domination number, 004, 510
Mathematics and Statistics, matching number, paired dominating set, paired domination number, 004, 510
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