Equal-Square Graphs Associated with Finite Groups

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.

Abstract licence: CC BY

29 more references, whose wording the paper’s licence keeps private.

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.