一些图运算的共独立支配总数

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2022-05-17 DOI:10.33044/revuma.1652

A. Cabrera Martínez, Suitberto Cabrera García, Iztok Peterin, Ismael G. Yero

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引用次数: 4

摘要

如果图G的每个顶点都与D的至少一个顶点相邻，则图G的顶点集D是全支配集。如果V（G）−D诱导的子图是无边的，则总支配集D被称为全共独立支配集。G的所有完全共独立支配集中的最小基数是G的全部共独立支配数。本文研究了图的连接乘积、强乘积、字典乘积、直乘积和根乘积的共独立支配数。

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The total co-independent domination number of some graph operations

. A set D of vertices of a graph G is a total dominating set if every vertex of G is adjacent to at least one vertex of D . The total domi- nating set D is called a total co-independent dominating set if the subgraph induced by V ( G ) − D is edgeless. The minimum cardinality among all total co-independent dominating sets of G is the total co-independent domination number of G . In this article we study the total co-independent domination number of the join, strong, lexicographic, direct and rooted products of graphs.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.