Remarks on restrained domination and total restrained domination in graphs

被引:0
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作者
Bohdan Zelinka
机构
[1] Technical University of Liberec,Dept. of Applied Mathematics
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关键词
domination number; domatic number; total domination number; total domatic number; restrained domination number; restrained domatic number; total restrained domination number; total restrained domatic number;
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学科分类号
摘要
The restrained domination number γr(G) and the total restrained domination number γ tr(G) of a graph G were introduced recently by various authors as certain variants of the domination number γ(G) of (G). A well-known numerical invariant of a graph is the domatic number d(G) which is in a certain way related (and may be called dual) to γ(G). The paper tries to define analogous concepts also for the restrained domination and the total restrained domination and discusses the sense of such new definitions.
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页码:393 / 396
页数:3
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