New formulations of topological indices in Triangular Benzenoid

In this article, triangular benzenoid is considered. The SMP-polynomial for the structure is obtained and using that polynomial, closed formulas for some distance-based indices are computed. These formulas are presented in terms of the number of hexagons in the base of the graph. Hence indices can be calculated via new formulas without counting the degrees of the vertices and partitioning the edges. Finally, the results are displayed numerically and graphically.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-17
DOI
https://doi.org/10.5281/zenodo.15542793
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

New formulations of topological indices in Triangular Benzenoid

Zenodo (CERN European Organization for Nuclear Research)
Graph theory and applications
article

New formulations of topological indices in Triangular Benzenoid

article en

Abstract

In this article, triangular benzenoid is considered. The SMP-polynomial for the structure is obtained and using that polynomial, closed formulas for some distance-based indices are computed. These formulas are presented in terms of the number of hexagons in the base of the graph. Hence indices can be calculated via new formulas without counting the degrees of the vertices and partitioning the edges. Finally, the results are displayed numerically and graphically.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 54%
Graph theory and applications
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New formulations of topological indices in Triangular Benzenoid · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS