C Johnson, R Sankar - Journal of Applied Mathematics and Computing, 2023 - Springer
Let R be a commutative ring with all non-zero zero divisors Z∗(R) of R. Then Γ (R) is said to be a zero divisor graph if and only if a· b= 0 where a, b∈ V (Γ (R))= Z∗(R) and (a, b)∈ E (Γ …
The A γ matrix of a graph G is determined by A γ (G)=(1− γ) A (G)+ γ D (G), where 0≤ γ≤ 1, A (G) and D (G) are the adjacency and the diagonal matrices of node degrees, respectively …
Assume that G is a finite group. The power graph P (G) of G is a graph in which G is its node set, where two different elements are connected by an edge whenever one of them is a …
In this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition ann XJ≠ ann X⋃ …
N Rehman, Nazim, M Nazim - … del Circolo Matematico di Palermo Series 2, 2024 - Springer
In this paper, we investigate the normalized distance Laplacian spectrum of the zero-divisor graph of a commutative ring R, denoted by Γ (R), where R is taken as the ring of integers …
The power graph $ P (\Omega) $ of a group $\Omega $ is a graph with the vertex set $\Omega $ such that two distinct vertices form an edge if and only if one of them is an …
The A7 matrix of a graph G is determined by A7 (G)=(1− 7) A (G)+ 7D (G), where 0≤ 7≤ 1, A (G) and D (G) are the adjacency and the diagonal matrices of node degrees, respectively. In …
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 …