The eccentric based Zagreb indices of carbon graphite

Abstract

Graph theory is vital for modeling and designing any chemical structure or network. Chemical graph theory is helpful to under first and about the structural characteristics of a molecular graph. The molecular graph is a graph in which vertices represent atoms and edges represent the chemical bond between atoms. Among topological descriptors, connectivity invariants are very beneficial and they have a useful part in chemistry. In this article, we study the chemical graphs of carbon graphite and we compute and derive close formulas of eccentricity based topological indices, such as eccentric based first Zagreb index, eccentric based second Zagreb index and eccentric based third Zagreb index of carbon graphite CG(m; n) for 3-layer.

Subject Classification:

• Primary 05C12
• Secondary 05C90

Keywords:

• Molecular graph
• Chemical graph
• Eccentricity based Zagreb indices
• Carbon graphite