关于 Cayley 和符号图-II

IF 0.9 Q2 MATHEMATICS Afrika Matematika Pub Date : 2024-08-05 DOI:10.1007/s13370-024-01209-1

Deepakshi Sharma, Sachin Somra, Deepa Sinha

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引用次数: 0

摘要

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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On Cayley sum signed graphs-II

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.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量