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The Eccentricity Version of Atom-Bond Connectivity Index of Linear Polycene Parallelogram Benzenoid ABC5(P(n,n))

Wei Gao, Mohammad Reza Farahani, Muhammad Kamran Jamil

Abstract


Among topological descriptors, connectivity indices are very important and they have a prominent role in chemistry. The atom-bond connectivity index of a connected graph G is defined as ABC(G)= where dv denotes the degree of vertex v of G and the eccentric connectivity index of the molecular graph G is defined as ξ(G)=, where ε(v) is the largest distance between v and any other vertex u of G. Also, the eccentric atom-bond connectivity index of a connected graph G is equal to ABC5(G)=.

In this present paper, we compute this new Eccentric and Connectivity index for an infinite family of Linear Polycene Parallelogram Benzenoid.


Keywords


Molecular graph; Atom bond connectivity index; Eccentricity connectivity; Linear Polycene Parallelogram Benzenoid.

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DOI: http://dx.doi.org/10.17344/acsi.2016.2378

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Copyright (c) 2016 Wei Gao, Mohammad Reza Farahani, Muhammad Kamran Jamil

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