Weakly connected 2-domination in the join of graphs

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2022-11-29 DOI:10.12988/ams.2021.914589

Mae P. Militante, R. G. Eballe, Rene E. Leonida

引用次数: 6

Abstract

A weakly connected 2-dominating set of a connected graph G is a set D ⊆ V (G) such that every vertex in V (G)\D is adjacent to at least two vertices in D and the subgraph, 〈D〉w, weakly induced by D is connected. In this paper, the weakly connected 2-dominating sets in the join G + H and K1 + H of graphs are characterized and their corresponding weakly connected 2-domination numbers are obtained. The necessary and sufficient conditions for the join of graphs to have weakly connected 2-domination numbers equal to 2,3 and 4 are provided. Mathematics Subject Classification: 05C69

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图连接中的弱连通2-支配

连通图G的弱连通2-支配集是一个集D≠V (G)，其中V (G)\D中的每个顶点与D中的至少两个顶点相邻，且由D弱诱导的子图< D > w是连通的。本文对图的连接G + H和K1 + H中的弱连通2-控制集进行了刻画，得到了它们对应的弱连通2-控制数。给出了图的连接具有弱连通2-控制数等于2、3、4的充分必要条件。数学学科分类:05C69

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

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