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 …

Counting Polynomials in Chemistry: Past, Present, and Perspectives

DM Joița, MA Tomescu, L Jäntschi - Symmetry, 2023 - mdpi.com
Counting polynomials find their way into chemical graph theory through quantum chemistry
in two ways: as approximate solutions to the Schrödinger equation or by storing information …

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 …

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 …

[PDF][PDF] On distance signless Laplacian eigenvalues of zero divisor graph of commutative rings

BA Rather, M Aijaz, F Ali, N Mlaiki, A Ullah - AIMS Math, 2022 - aimspress.com
For a simple connected graph G of order n, the distance signless Laplacian matrix is defined
by DQ (G)= D (G)+ Tr (G), where D (G) and Tr (G) is the distance matrix and the diagonal …

Sombor index and eigenvalues of comaximal graphs of commutative rings

BA Rather, M Imran, S Pirzada - Journal of Algebra and its …, 2024 - World Scientific
The comaximal graph Γ (R) of a commutative ring R is a simple graph with vertex set R and
two distinct vertices u and v of Γ (R) are adjacent if and only if u R+ v R= R. In this paper, we …

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 …

The expected values of the total numbers of independent edge sets and independent sets in random alpha-type pentagonal chains

L Wei, H Bian, H Yu - Heliyon, 2023 - cell.com
A independent edge set of G containing mutually independent edges is also called a
matching of G. The total numbers of matchings and independent sets of a graph G, namely …