Paired-Domination in P 5-Free Graphs
نویسندگان
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 if the subgraph induced by S contains a perfect matching. The paired-domination number of G, denoted by γpr(G), is the minimum cardinality of a paired-dominating set of G. In [?], the authors gave tight bounds for paired-dominating sets of generalized claw-free graphs. Yet, the critical cases are not claws but subdivided stars. We here give a bound for graphs containing no induced P5, which seems to be the critical case.
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ورودعنوان ژورنال:
- Graphs and Combinatorics
دوره 24 شماره
صفحات -
تاریخ انتشار 2008