Counting independent dominating sets in linear polymers

被引：0
|
作者：
Alikhani, Saeid [1 ]
Jahari, Somayeh [1 ]
机构：
[1] Yazd Univ, Dept Math Sci, Yazd 89195741, Iran
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2023年 / 16卷
基金：
美国国家科学基金会;
关键词：
Independent dominating sets; generating function; Cactus graphs; NUMBER; POLYNOMIALS;
D O I：
10.32513/asetmj/1932200823106
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A vertex subset W subset of V of the graph G = (V, E) is an independent dominating set, if every vertex in V \ W is adjacent to at least one vertex in W and the vertices of W are pairwise non-adjacent. We enumerate independent dominating sets in several classes of graphs (polymer graph) made by a linear or cyclic concatenation of basic building blocks. Explicit recurrences are derived for the number of independent dominating sets of these kind of graphs. Generating functions for the number of independent dominating sets of triangular and squares cacti chain are also computed.
引用
收藏
页码：47 / 57
页数：11
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