S-coindex of some graph operations and its properties and conjugated polymers

Nagarajan Sethumadhavan and Kayalvizhi Gokulathilagan *

Department of Mathematics, Kongu Arts and Science College, Erode-638107, Tamil Nadu, India.
 
Research Article
Global Journal of Engineering and Technology Advances, 2023, 16(02), 140–149.
Article DOI: 10.30574/gjeta.2023.16.2.0151
Publication history: 
Received on 21 June 2021; revised on 31 July 2023; accepted on 03 August 2023
 
Abstract: 
The theory of chemical graphs is a field of mathematical chemistry that applies graph theory to the mathematical modeling of chemical phenomena. Topological index is a numerical descriptor of a molecule; it is found that there is strong correlation between the properties of chemical compounds and their molecular structure based on a specific topological feature of the corresponding molecular graph. The S-index of a graph is defined as the sum of five of the degree of vertices of a graph. In this paper, we introduce a new invariant of a graph which is identified as S-coindex. We study some basic mathematical properties and different types of graph operations like as Join, Cartesian Product, Composition, Tensor Product, Strong Product, Disjunction, Symmetric Difference, Corona Product of graphs.
 
Keywords: 
S-index; S-coindex; Graph Operations; Zagreb; F-index
 
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