Equal-Square Graphs Associated with Finite Groups

Shafiq Ur Rehman, Ghulam Farid, Tayaba Tariq, Ebenezer Bonyah and Gohar Ali

Journal of Mathematics, 2022, vol. 2022, 1-6

Abstract: The graphical representation of finite groups is studied in this paper. For each finite group, a simple graph is associated for which the vertex set contains elements of group such that two distinct vertices x and y are adjacent iff x2=y2. We call this graph an equal-square graph of the finite group G, symbolized by ESG. Some interesting properties of ESG are studied. Moreover, examples of equal-square graphs of finite cyclic groups, groups of plane symmetries of regular polygons, group of units Un, and the finite abelian groups are constructed.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9244325

DOI: 10.1155/2022/9244325

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