On Cayley sum signed graphs-II

IF 0.9 Q2 MATHEMATICS
Deepakshi Sharma, Sachin Somra, Deepa Sinha
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Abstract

The Cayley sum graph is a graph whose vertex comprises elements of an abelian group G and edges are the sum of these vertices belonging to a subset of G, namely, S. We introduce Cayley sum signed graph by giving the sign to these edges. An edge receives a positive sign if any of the incident vertices belong to S; otherwise, it receives a negative sign. We discuss the balance, clusterability and some properties of derived Cayley sum signed graph.

Abstract Image

关于 Cayley 和符号图-II
Cayley 和图是一种图,其顶点包含一个无常群 G 的元素,边是这些顶点属于 G 的一个子集(即 S)的和。如果任何一条边上的顶点都属于 S,那么这条边就会得到一个正号;否则,这条边就会得到一个负号。我们将讨论衍生 Cayley 和符号图的平衡性、可群集性和一些属性。
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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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