Algebraic graph theory is the study of the interplay between algebraic structures (both
abstract as well as linear structures) and graph theory. Many concepts of abstract algebra …

Given a group G, the enhanced power graph of G, denoted by 𝒢 e (G), is the graph with
vertex set G and two distinct vertices x and y are edge connected in 𝒢 e (G) if there exists z∈ …

The power graph PG of a finite group G is the graph with the vertex set G, where two distinct
vertices are adjacent if one is a power of the other. We first show that PG has a transitive …

Suppose G is a finite group. The power graph represented by P (G) of G is a graph, whose
node set is G, and two different elements are adjacent if and only if one is an integral power …

The enhanced power graph 𝒢 e (G) of a group G is the graph with vertex set G such that two
vertices x and y are adjacent if they are contained in the same cyclic subgroup. We prove …

The power graph of a group Ω is a graph, whose node set is Ω and two distinct elements are
adjacent if and only if one is an integral power of the other. A metric dimension of a graph Γ …

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 …

Let G be a finite group. The power graph P (G) and its main supergraph S (G) are two simple
graphs with the same vertex set G. Two elements x, y G are adjacent in the power graph if …

The power graph G (S) of a semigroup S is a simple undirected graph whose vertex set is S,
and there is an edge between any two vertices if one is a power of the other. In this paper …

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