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论文类型：期刊论文

发表时间：2011-05-01

发表刊物：JOURNAL OF COMBINATORIAL OPTIMIZATION

收录刊物：SCIE、EI

卷号：21

期号：4

页面范围：481-496

ISSN号：1382-6905

关键字：Paired domination number; k-distance paired domination number; Generalized Petersen graph

摘要：Let G=(V,E) be a graph without an isolated vertex. A set DaS dagger V(G) is a k -distance paired dominating set of G if D is a k-distance dominating set of G and the induced subgraph aOE (c) D > has a perfect matching. The minimum cardinality of a k-distance paired dominating set for graph G is the k -distance paired domination number, denoted by gamma (p) (k) (G). In this paper, we determine the exact k-distance paired domination number of generalized Petersen graphs P(n,1) and P(n,2) for all ka parts per thousand yen1.