Number of Dominating Sets in Cylindric Square Grid Graphs

被引：0
|
作者：
Seungsang Oh
机构：
[1] Korea University,Department of Mathematics
来源：
Graphs and Combinatorics | 2021年 / 37卷
关键词：
Domination polynomial; Dominating set; Cylindric square grid; 05A15; 05C69;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A dominating set of a graph is a subset D of the vertices such that every vertex not in D is adjacent to some vertex of D. In this paper, we introduce several variants of dominating sets in the square grid, periodic square grid and cylindric square grid by considering translation symmetry. We provide their exact enumerations in terms of domination polynomials. We also analyze the asymptotic behavior of the growth rates of their cardinality.
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页码：1357 / 1372
页数：15
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