Author(s):
1. Muhammad Akram:
Muslim Youth University, Islamabad, Pakistan
2. Abdul Raheem:
Muslim Youth University, Islamabad, Pakistan
Abstract:
In graph theory, topological indices are parameters of a graph invariant under graph isomorphism’s and which are of significant concern to mathematical chemistry, especially in molecular structure Series. In the present paper we explore how different topological indices are calculated on product graphs and particularly such significant operations as Cartesian product, tensor product and rooted product. Formulas of specific types of Wiener-type, Zagreb and eccentricity-based indices are obtained on particular classes of product graphs. In a number of instances, we give the closed-form expressions, and in others we obtain the tight bounds which are supported by combinatorial arguments. The challenges determine the results which are explained in portions to depict the structure properties and possibly chemical applications. The present paper can contribute to the existing literature with the new information on the interrelation between graph manipulations and topological indices, providing chemists with new instruments to analyze their graphs and network scientists with new tools to analyze their networks.
Page(s):
178-178
DOI:
DOI not available
Published:
Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
tensor product
,
Topological indices
,
Wiener index
,
Cartesian product
,
Zagreb indices
,
product of graphs
,
rooted product
References:
References are not available for this document.
Citations
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