Abstract
A topological index of a molecular graph G is a numeric quantity related to G which is invariant under symmetry properties of G. Let G be a molecular graph. The augmented eccentric connectivity index, ξ A(G) is defined as ξ A(G)=Σ u∈V(G) M(u)/ε(u) where M(u) denotes the product of degrees of all neighbors of vertex u and ε(u) is the largest distance between u and any other vertex v of G. In this paper the exact formulas for the augmented eccentric connectivity index of V-phenylenic nanotorus together with its extremal values are given.
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Acknowledgements
We are indebted to the referees for their corrections, suggestions and helpful remarks leaded us to rearrange the paper. The first and second authors are partially supported by the University of Kashan under grant no 159020/10.
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Yarahmadi, Z., Ashrafi, A.R. & Moradi, S. Extremal values of augmented eccentric connectivity index of V-phenylenic nanotorus. J. Appl. Math. Comput. 45, 35–42 (2014). https://doi.org/10.1007/s12190-013-0709-6
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DOI: https://doi.org/10.1007/s12190-013-0709-6