Computing the fourth atom-bond connectivity index of the Polycyclic Aromatic Hydrocarbons

Abstract Among topological descriptors topological indices are very important and they have a prominent role in chemistry. One of them is atom-bond connectivity (ABC) index defined as  where dv is the degree of vertex v. Recently, a new version of atom-bond connectivity (ABC4) index was introduced by M. Ghorbani et. al. [38] in 2010 and is defined as  where and NG (u) = {vV (G)|uvE(G)}. In this paper we compute this new topological index for Polycyclic Aromatic Hydrocarbons PAHk.

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