On some topological indices defined via the modified Sombor matrix

X Zuo, BA Rather, M Imran, A Ali - Molecules, 2022 - mdpi.com
Let G be a simple graph with the vertex set V={v 1,…, vn} and denote by dvi the degree of
the vertex vi. The modified Sombor index of G is the addition of the numbers (dvi 2+ dvj 2) …

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 …

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 …

Bounds on the General Eccentric Connectivity Index

X Yu, M Imran, A Javed, MK Jamil, X Zuo - Symmetry, 2022 - mdpi.com
The general eccentric connectivity index of a graph R is defined as ξ ec (R)=∑ u∈ V (G) d
(u) ec (u) α, where α is any real number, ec (u) and d (u) represent the eccentricity and the …

Hosoya properties of power graphs over certain groups

Y Singh, AK Tiwari, F Ali - arXiv preprint arXiv:2212.12459, 2022 - arxiv.org
The power graph denoted by $\mathcal {P}(\mathcal {G}) $ of a finite group $\mathcal {G} $
is a graph with vertex set $\mathcal {G} $ and there is an edge between two distinct …

Forgotten Topological and Wiener Indices of Prime Ideal Sum Graph of 57;'

EÖ Sözen, E Eryaşar, C Abdiolu - Current Organic Synthesis, 2024 - ingentaconnect.com
Background: Chemical graph theory is a sub-branch of mathematical chemistry, assuming
each atom of a molecule is a vertex and each bond between atoms as an edge. Objective …

[PDF][PDF] The Edge–Hosoya Polynomial of Catacondensed Benzenoid Graphs Associated with its Hosoya Polynomial

W Lia, A Chenb, J Wua - match.pmf.kg.ac.rs
This paper reveals the relationship between edge-Hosoya polynomial and the Hosoya
polynomial of catacondensed benzenoid graphs. The result shows that, for a catacondensed …