On the distance paired domination of generalized Petersen graphs P(n,1) and P(n,2)

被引:0
作者
Haoli Wang
Xirong Xu
Yuansheng Yang
Kai Lü
机构
[1] Dalian University of Technology,Department of Computer Science
来源
Journal of Combinatorial Optimization | 2011年 / 21卷
关键词
Paired domination number; -distance paired domination number; Generalized Petersen graph;
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摘要
Let G=(V,E) be a graph without an isolated vertex. A set D⊆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 〈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 γpk(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 k≥1.
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页码:481 / 496
页数:15
相关论文
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