An Algebraic Approach to Find Some Topological Indices of Derived Graphs of the Benzene Ring

Autor: Gowtham K J, Sooryanarayana B
Rok vydání: 2021
Předmět:
Zdroj: Biointerface Research in Applied Chemistry. 12:5431-5443
ISSN: 2069-5837
DOI: 10.33263/briac124.54315443
Popis: Topological indices play a vital role in understanding the chemical and structural properties of the chemical compounds and nanostructures. By finding the M-polynomial of a graph representing a chemical compound, one can obtain the closed forms of some of the commonly known degree-based topological indices of the compound, such as the Zagreb index, general Randic ́ Index and harmonic index. In this article, we obtain the expression for the M-polynomial of the derived graphs of the Benzene ring embedded in the P-type surface network in 2D, namely the line graph, the subdivision graph, and the line graph of its subdivision. Furthermore, some of the degree-based topological indices are obtained for these graphs using their M-polynomials.
Databáze: OpenAIRE