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 …

Power graphs of finite groups determined by Hosoya properties

F Ali, BA Rather, A Din, T Saeed, A Ullah - Entropy, 2022 - mdpi.com
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 …

Certain topological indices of non-commuting graphs for finite non-abelian groups

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

On the power graphs of certain finite groups

F Ali, S Fatima, W Wang - Linear and Multilinear Algebra, 2022 - Taylor & Francis
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 …

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 …

Several Zagreb indices of power graphs of finite non-abelian groups

R Ismail, F Ali, R Qasim, M Naeem, WK Mashwani… - Heliyon, 2023 - cell.com
Molecular topology can be described by using topological indices. These are quantitative
measures of the essential structural features of a proposed molecule calculated from its …

[PDF][PDF] Aα matrix of commuting graphs of non-abelian groups

BA Rather, F Ali, N Ullah, AS Mohammad, A Din… - AIMS …, 2022 - researchgate.net
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 …

On the commuting graph of semidihedral group

J Kumar, S Dalal, V Baghel - Bulletin of the Malaysian Mathematical …, 2021 - Springer
The commuting graph\varDelta (G) Δ (G) of a finite non-abelian group G is a simple graph
with vertex set G, and two distinct vertices x, y are adjacent if xy= yx xy= yx. In this paper, first …

Degree and distance based topological descriptors of power graphs of finite non-abelian groups

F Ali, BA Rather, M Naeem, W Wang - Discrete Applied Mathematics, 2024 - Elsevier
A topological descriptor is a numerical value derived from the molecular structure that
encapsulates the most important structural characteristics of the molecule under …