关于网格图的签名支配

离散数学期刊(英文) Pub Date : 2020-09-16 DOI:10.4236/ojdm.2020.104010

M. Hassan, Muhsin Al Hassan, Mazen Mostafa

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引用次数: 0

摘要

设G(V, E)为顶点集V(G)的有限连通简单图。一个函数是一个有符号支配函数f: V(G)→{−1,1}，如果对于每个顶点V∈V(G)， V的闭邻权值之和大于等于1。G的有符号支配数γs(G)是G上有符号支配函数的最小权值。本文计算了m = 6,7和任意n时两条路径Pm和Pn的笛卡尔积的有符号支配数。

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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On Signed Domination of Grid Graph

Let G(V, E) be a finite connected simple graph with vertex set V(G). A function is a signed dominating function f : V(G)→{−1,1} if for every vertex v ∈ V(G), the sum of closed neighborhood weights of v is greater or equal to 1. The signed domination number γs(G) of G is the minimum weight of a signed dominating function on G. In this paper, we calculate the signed domination numbers of the Cartesian product of two paths Pm and Pn for m = 6, 7 and arbitrary n.

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来源期刊

离散数学期刊(英文)

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127

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