Algebraic structure graphs over the commutative ring Z m: exploring topological indices and entropies using M-polynomials

AS Alali, S Ali, N Hassan, AM Mahnashi, Y Shang… - Mathematics, 2023 - mdpi.com
The field of mathematics that studies the relationship between algebraic structures and
graphs is known as algebraic graph theory. It incorporates concepts from graph theory …

M-polynomials and degree-based topological indices of tadpole graph

F Chaudhry, MN Husin, F Afzal, D Afzal… - Journal of Discrete …, 2021 - Taylor & Francis
Chemical graph theory is a branch of mathematical chemistry which has an important
outcome on the development of the chemical sciences. A chemical graph is a graph which is …

On computation of newly defined degree-based topological invariants of Bismuth Tri-iodide via M-polynomial

S Hameed, MN Husin, F Afzal, H Hussain… - Journal of Discrete …, 2021 - Taylor & Francis
In this article, we recover many degree-based topological invariants using their formulas
given in table [1] of Bismuth Tri-iodide by using its M-polynomial. The M-polynomial is a new …

Closed formulas for some new degree based topological descriptors using M-polynomial and boron triangular nanotube

DY Shin, S Hussain, F Afzal, C Park, D Afzal… - Frontiers in …, 2021 - frontiersin.org
In this article, we provide new formulas to compute the reduced reciprocal randi ć index,
Arithmetic geometric1 index, SK index, SK 1 index, SK 2 index, edge version of the first …

[PDF][PDF] Domination topological properties of carbidopa-levodopa used for treatment Parkinson's disease by using φp-polynomial

S Javaraju, H Ahmed, A Alsinai… - Eurasian Chemical …, 2021 - researchgate.net
Chemical graph theory is one of the branches of mathematical chemistry. The importance of
chemical graph theory lies in understanding and explaining the nature of the chemical …

On topological aspects of silicate network using M-polynomial

F Afzal, A Alsinai, S Hussain, D Afzal… - Journal of Discrete …, 2021 - Taylor & Francis
M-polynomial is introduced as a graph polynomial to re-cover closed formulas of degree
based topological indices by using some suitable operators. These topological indices have …

A study of newly defined degree-based topological indices via M-polynomial of Jahangir graph

D Afzal, S Ali, F Afzal, M Cancan, S Ediz… - Journal of Discrete …, 2021 - Taylor & Francis
There is an incredible importance of topological indices in the field of graph theory. M-
polynomial is a very effective way for finding the topological indices of a graph. In this article …

[PDF][PDF] Theoretical study of benzene ring embedded in P-type surface in 2D network using some new degree based topological indices via M-polynomial

S Hussain, F Afzal, D Afzal, MR Farahani… - Eurasian Chemical …, 2021 - academia.edu
The combination of chemistry with graph theory is called chemical graph theory. This
interdisciplinary solves the questions that arise in chemistry with the help of graph theory …

On topological indices and entropy dynamics over zero divisors graphs under cartesian product of commutative rings

S Ali, Y Shang, N Hassan, A S. Alali - Research in Mathematics, 2024 - Taylor & Francis
Algebraic graph theory is an important area of mathematics that looks into the complex
relationships between different algebraic structures and the many features that graphs have …

Analyzing the boron triangular nanotube through topological indices via M-polynomial

S Hussain, F Afzal, D Afzal, M Cancan… - Journal of Discrete …, 2021 - Taylor & Francis
Abstract he current discovery of different types of nanostructures has inspired the researcher
to study the applications of these structures in different fields. In this study, we have analyzed …