Some new results on colour-induced signed graphs

IF 0.3 Q4 COMPUTER SCIENCE, THEORY & METHODS
Niranjana Sudheer, Ann Cherian George, Achu Aniyan, S. Naduvath
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引用次数: 0

Abstract

Abstract A signed graph is a graph in which positive or negative signs are assigned to its edges. We consider equitable colouring and Hamiltonian colouring to obtain induced signed graphs. An equitable colour-induced signed graph is a signed graph constructed from a given graph in which each edge uv receives a sign (−1)|c(v)−c(u)|,where c is an equitable colouring of vertex v. A Hamiltonian colour-induced signed graph is a signed graph obtained from a graph G in which for each edge e = uv, the signature function σ(uv)=(−1)|c(v)−c(u)|, gives a sign such that, |c(u)− c(v)| ≥ n − 1 − D(u, v) where c is a function that assigns a colour to each vertex satisfying the given condition. This paper discusses the properties and characteristics of signed graphs induced by the equitable and Hamiltonian colouring of graphs.
关于颜色诱导符号图的一些新结果
带符号图是指在图的边上有正号或负号的图。我们考虑了公平着色和哈密顿着色来得到诱导符号图。签署公平colour-induced图是一个签名图由一个给定的图中每条边uv接收信号(−1)| (v)−c (u) |,其中c是一个公平的顶点v哈密顿colour-induced签名图的着色是一个签名图获得从一个图G的每个边e =紫外线,签名函数σ(紫外线)=(−1)| (v)−c (u) |,给了一个信号,| c (u)−c (v) |≥n−−1 D (u, v), c是一个函数,分配一个颜色每个顶点满足给定的条件。讨论了由图的公平着色和哈密顿着色所导出的符号图的性质和特征。
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
Acta Universitatis Sapientiae Informatica
Acta Universitatis Sapientiae Informatica COMPUTER SCIENCE, THEORY & METHODS-
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