Abstract The COPRIME GRAPH GG with a FINITE GROUP G as follows: Take G as the
vertex set of GG and join two distinct vertices u and v if (| u|,| v|)= 1. In the paper, we explore …

For a finite group G, the power graph P (G) is a graph with the vertex set G, in which two
distinct elements are adjacent if one is a power of the other. Feng, Ma and Wang (Feng et …

A survey on enhanced power graphs of finite groups Page 1 www.ejgta.org Electronic
Journal of Graph Theory and Applications 10 (1) (2022), 89–111 A survey on enhanced …

The enhanced power graph P e (G) of a group G is a graph with vertex set G and two
vertices are adjacent if they belong to the same cyclic subgroup. In this paper, we consider …

The enhanced power graph 𝒫 e (G) of a group G is a simple undirected graph with vertex set
G and two distinct vertices x, y are adjacent if both x and y belongs to same cyclic subgroup …

The cyclic graph Γ (S) Γ (S) of a semigroup S is the simple graph whose vertex set is S, two
element being adjacent if the subsemigroup generated by these two elements is monogenic …

SIGNLESS AND NORMALIZED LAPLACIAN SPECTRUMS OF THE POWER GRAPH AND ITS
SUPERGRAPHS OF CERTAIN FINITE GROUPS Page 1 J. Indones. Math. Soc. Vol. 24, No. 1 …

International Journal of Applied Sciences and Smart Technologies Page 1 International
Journal of Applied Sciences and Smart Technologies Volume 3, Issue 2, pages 225–240 p-ISSN …

Let R be a commutative ring with identity, and P be a prime ideal of R. The prime ideal
graph, denoted by Γ p, is the graph where the set of vertices is R/{0} and two vertices are …

We investigate some properties of invertible graphs of finite groups, which are newly defined
in this paper. The main results have been proved using finite group classification. For each …