Third-Connectivity and Third-sum-Connectivity Indices of Circumcoronene Series of Benzenoid Hk

Abstract

The m-connectivity index and m-sum connectivity index of a connected graph G = (V,E) are (see formula for text) and (see formula for text) where v(i)(1) v(i)2 ... v(i)(m+1), runs over all paths of length m in G and d(i) is the degree of vetex v(i) epsilon V(G). In this paper, we introduce a closed formula of the third-connectivity index and third-sum-connectivity index of molecular graph Circumcoronene Series of Benzenoid H(k) (k > or = 1).