On the fourth atom-bond connectivity index of nanocones
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Abstract
Atom bond connectivity index is a topological index was defined as ABC(G) = Sigma(UV is an element of E(G)) root d(u)+d(v)-2/d(u)d(v) where d(v) denotes the degree of vertex v of G. Recently, M. Ghorbani et al. introduced a new version of atom-bond connectivity (ABC4) index as ABC(4)(G) = Sigma(UV is an element of E(G)) root S(u)+S(v)-2/S(u)s(v) and where S-u = Sigma(v is an element of Ng(u))d(v) and N-G(u) = {v is an element of V(G)vertical bar uv is an element of E(G)}. In this paper we compute the fourth atom-bond connectivity index for nanocones.