On the topological indices of commuting graphs for finite non-Abelian groups

F Ali, BA Rather, N Fatima, M Sarfraz, A Ullah… - Symmetry, 2022 - mdpi.com
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 …

Graph energy and topological descriptors of zero divisor graph associated with commutative ring

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 …

Aγ Eigenvalues of Zero Divisor Graph of Integer Modulo and Von Neumann Regular Rings

BA Rather, F Ali, A Ullah, N Fatima, R Dad - Symmetry, 2022 - mdpi.com
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 …

Hosoya polynomials of power graphs of certain finite groups

BA Rather, F Ali, S Alsaeed, M Naeem - Molecules, 2022 - mdpi.com
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 …

[HTML][HTML] Applications on color (distance) signless laplacian energy of annihilator monic prime graph of commutative rings

R Sarathy, JR Sankar - Ain Shams Engineering Journal, 2024 - Elsevier
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⋃ …

Exploring normalized distance Laplacian eigenvalues of the zero-divisor graph of ring

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 …

On the Spectral properties of power graphs over certain groups

Y Singh, AK Tiwari, F Ali - arXiv preprint arXiv:2209.15237, 2022 - arxiv.org
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 …

[PDF][PDF] A7 Eigenvalues of Zero Divisor Graph of Integer Modulo and Von Neumann Regular Rings. Symmetry 2022, 14, 1710

BA Rather, F Ali, A Ullah, N Fatima, R Dad - 2022 - academia.edu
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 …

[PDF][PDF] On the Topological Indices of Commuting Graphs for Finite Non-Abelian Groups. Symmetry 2022, 14, 1266

F Ali, BA Rather, N Fatima, M Sarfraz, A Ullah… - 2022 - academia.edu
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 …