Computing edge version of eccentric connectivity index of nanostar dendrimers

Abstract

Let G be a molecular graph, the edge version of eccentric connectivity index of G are defined as ( ) ( ) å ∈ ( ) = ⋅ GEf c e ξ (G) deg f ecc f , where deg( f ) denotes the degree of an edge f and ecc( f ) is the largest distance between f and any other edge g of G , namely, eccentricity of f . In this paper exact formulas for the edge version of eccentric connectivity index of two classes of nanostar dendrimers were computed.

Keywords

• edge eccentric connectivity index
• nanostar dendrimers
• topological index