Open AccessEqual‐Square Graphs Associated with Finite Groups
Author(s) -
Shafiq Ur Rehman,
Ghulam Farid,
Tayaba Tariq,
Ebenezer Bonyah
Publication year - 2022
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2022/9244325
Subject(s) - mathematics , combinatorics , vertex (graph theory) , finite group , abelian group , simple group , homogeneous space , graph , symmetric graph , discrete mathematics , group (periodic table) , voltage graph , simple (philosophy) , line graph , geometry , philosophy , epistemology , organic chemistry , chemistry
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 x 2 = y 2 . We call this graph an equal-square graph of the finite group G , symbolized by E S G . Some interesting properties of E S G are studied. Moreover, examples of equal-square graphs of finite cyclic groups, groups of plane symmetries of regular polygons, group of units U n , and the finite abelian groups are constructed.
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