Modified eccentric connectivity polynomial of some graph operations

Abstract

The modified eccentricity connectivity polynomial of a connected graph G is defined as Ξ(G; x)=Σu∈V(G)dG(u)xε′G(u), where ε′G(u)=Σv∈NG(u)εG(u)and dG(u) is the degree of u in G. In this paper modified eccentric connectivity polynomial is computed for several classes of composite graphs.