Restrained Italian domination in trees

IF 0.9 Q3 COMPUTER SCIENCE, THEORY & METHODS
Kijung Kim
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引用次数: 0

Abstract

Let be a graph. A subset D of V is a restrained dominating set if every vertex in is adjacent to a vertex in D and to a vertex in . The restrained domination number, denoted by , is the smallest cardinality of a restrained dominating set of G. A function is a restrained Italian dominating function on G if (i) for each vertex for which , it holds that , (ii) the subgraph induced by has no isolated vertices. The restrained Italian domination number, denoted by , is the minimum weight taken over all restrained Italian dominating functions of G. It is known that for any graph G. In this paper, we characterize the trees T for which , and we also characterize the trees T for which .
意大利人对树木的控制受到了限制
让我们画个图。V的子集D是一个受约束的支配集,如果每个顶点in与D中的一个顶点相邻,并且与顶点in相邻。表示的约束支配数是G的约束支配集的最小基数。如果(i)对于每个顶点,函数是G上的约束意大利支配函数,对于该顶点,(ii)所诱导的子图没有孤立的顶点。约束意式支配数表示为g的所有约束意式支配函数所占的最小权值。已知,对于任意图g,我们对其树T进行了表征,对其树T也进行了表征。
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来源期刊
International Journal of Computer Mathematics: Computer Systems Theory
International Journal of Computer Mathematics: Computer Systems Theory Computer Science-Computational Theory and Mathematics
CiteScore
1.80
自引率
0.00%
发文量
11
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