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Graphs on groups in terms of the order of elements: A review

S. Madhumitha

https://orcid.org/0000-0001-7515-6518

Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka 560029, India

E-mail Address: s.madhumitha@res.christuniversity.in

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and

Sudev Naduvath

https://orcid.org/0000-0001-9692-4053

Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka 560029, India

E-mail Address: sudev.nk@christuniversity.in

Corresponding author.

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https://doi.org/10.1142/S1793830923300035Cited by:0 (Source: Crossref)

Abstract

Two mathematical fields that concentrate on creating and analyzing structures are algebra and graph theory. There are numerous studies linking algebraic structures like groups, rings, fields and vector spaces with graph theory. Several algebraic graphs have been defined based on the properties of the order of the group and its elements. In this paper, we systematically review the literature on such graphs to understand the research dynamics in the field.

Communicated by Xiao-Dong Zhang

Keywords:

AMSC: 05C25, 05C75, 05C10, 05C22, 05C69, 05C09, 05C15

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