A topological index is a number generated from a molecular structure (ie, a graph) that
indicates the essential structural properties of the proposed molecule. Indeed, it is an …

Let Γ be a non-abelian group and Ω⊆ Γ. We define the commuting graph G= 𝒞 (Γ, Ω) with
vertex set Ω and two distinct elements of Ω are joined by an edge when they commute in Γ …

The Coprime graph of group G denoted Γ G is a graph with vertices is an element of G, and
two distinct vertices are adjacent when its order relative prime. In 2020, Gazir et al. give …

A topological index is a number derived from a molecular structure (ie, a graph) that
represents the fundamental structural characteristics of a suggested molecule. Various …

Let H be a group and Y be a non-empty subset of H. The commuting graph Γ= C (H, Y) has Y
as the node set, where y 1, y 2∈ Y are adjacent whenever y 1 and y 2 commute in H. In this …

For a finite group G and a subset X∅ of G, the commuting graph, indicated by G= C (G, X), is
the simple connected graph with vertex set X and two distinct vertices x and y are edge …

Let G be a finite group. The commuting graph Γ= C (G) is a simple graph with vertex set G
and two vertices are adjacent if and only if they commute with each other. In this paper, the …

Study about spectra of graph has became interesting work as well as study about
commuting and non commuting graph of a group or a ring. But the study about spectra of …

For a non-abelian group G and a subset X of G, we define the commuting graph, denoted Γ
(X)= C (G, X), to be the graph whose vertex set is X with two distinct vertices x, y GX joined …

For a group G and a subset X of G, the commuting graph of X, denoted by Γ (X)= ℭ (D (G), X)
is the graph whose vertex set is X and any two vertices u and v in X are adjacent if and only …