On Eccentric Topological Indices Based on Edges of Zero Divisor Graphs

Abstract

This article is devoted to the determination of edge-based eccentric topological indices of a zero divisor graph of some algebraic structures. In particular, we computed the first Zagreb eccentricity index, third Zagreb eccentricity index, geometric-arithmetic eccentricity index, atom-bond connectivity eccentricity index and a fourth type of eccentric harmonic index for zero divisor graphs associated with a class of finite commutative rings.

Keywords

• eccentricity
• topological index
• zero divisor graphs
• commutative ring