Connective Eccentric Index of an Infinite Family of Linear Polycene Parallelogram Benzenoid

Farahani, Mohammad Reza

doi:10.18052/www.scipress.com/ILCPA.37.57

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Connective Eccentric Index of an Infinite Family of Linear Polycene Parallelogram Benzenoid

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Abstract:

Let G=(V, E) be a graph, where V(G) is a non-empty set of vertices and E(G) is a set of edges.We defined dv denote the degree of vertex v∈V(G). The Eccentric Connectivity index ξ(G) and theConnective Eccentric index Cξ(G) of graph G are defined as ξ(G)= ∑_v∈V(G)d_v x ξ(v) and Cξ(G)=ξ(G)= ∑_v∈V(G)d_v x ξ(v)^- where ε(v) is defined as the length of a maximal path connecting a vertex v toanother vertex of G. In this present paper, we compute these Eccentric indices for an infinite family oflinear polycene parallelogram benzenod by a new method.Keywords: Molecular graphs; Linear polycene parallelogram; Benzenoid; Eccentric connectivityindex; Connective eccentric index

Info:

Periodical:

International Letters of Chemistry, Physics and Astronomy (Volume 37)

Pages:

57-62

DOI:

https://doi.org/10.18052/www.scipress.com/ILCPA.37.57

Citation:

M. R. Farahani, "Connective Eccentric Index of an Infinite Family of Linear Polycene Parallelogram Benzenoid", International Letters of Chemistry, Physics and Astronomy, Vol. 37, pp. 57-62, 2014

Online since:

August 2014

Authors:

Mohammad Reza Farahani

Keywords:

Benzenoid, Connective Eccentric Index, Eccentric Connectivityindex, Linear Polycene Parallelogram, Molecular Graph

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Open Access

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Creative Commons Attribution 4.0 International License

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[1] H. Shaker, M. Imran, W. Sajjad, "Eccentricity based topological indices of face centered cubic lattice FCC(n)", Main Group Metal Chemistry, Vol. 44, p. 32, 2020