The commuting graph of the cyclic extension of an abelian group

Yongwei Wang, Weijun Liu and Wei Jin

Applied Mathematics and Computation, 2022, vol. 426, issue C

Abstract: In this article, using the method of local analysis of abelian groups, we classify the commuting graph of the prime cyclic extension of an abelian group completely and obtain certain prominent parameters like independent number, clique number and second clique number of the graphs.

Keywords: Commuting graph; Group extension; Group automorphism; Local analysis (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322002132

DOI: 10.1016/j.amc.2022.127129

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