Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants

Abstract

A branch of graph theory that makes use of a molecular graph is called chemical graph theory. Chemical graph theory is used to depict a chemical molecule. A graph is connected if there is an edge between every pair of vertices. A topological index is a numerical value related to the chemical structure that claims to show a relationship between chemical structure and various physicochemical attributes, chemical reactivity, or, you could say, biological activity. In this article, we examined the topological properties of a planar octahedron network of m dimensions and computed the total eccentricity, average eccentricity, Zagreb eccentricity, geometric arithmetic eccentricity, and atom bond connectivity eccentricity indices, which are used to determine the distance between the vertices of a planar octahedron network.

Keywords

• eccentricity <i>ξ</i>(<i>p</i>)
• total eccentricity <i>ϑ</i>(<i>G</i>)
• average eccentricity <i>avec</i>(<i>G</i>)
• Zagreb eccentricity index ℵ(<i>G</i>)
• geometric arithmetic eccentricity <i>GA</i>₄(<i>G</i>)
• atom bond connectivity eccentricity <i>ABC</i>₅(<i>G</i>)