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Connective Eccentric Index of Circumcoronene Homologous Series of Benzenoid Hk

Farahani M. R.

International Letters of Chemistry, Physics and Astronomy

2014

Vol. 13, iss. 1

71-76

Let G be a molecular graph, a topological index is a numeric quantity related to G which is invariant under graph automorphisms. The eccentric connectivity index ξ(G) is defined as [wzór] where [wzór] denote the degree of vertex v in G and the largest distance between v and any other vertex u of G. The connective eccentric index of graph G is defined as [wzór] In the present paper we compute the connective eccentric index of Circumcoronene Homologous Series of Benzenoid Hk (k ≥ 1).

Connective Eccentric Index of an infinite family of linear polycene parallelogram benzenoid

Farahani M. R.

International Letters of Chemistry, Physics and Astronomy

2014

Vol. 18

57--62

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 the Connective Eccentric index Cξ(G) of graph G are defined as ξ(G)= [wzór] and Cξ(G)=[wzór] where ε(v) is defined as the length of a maximal path connecting a vertex v to another vertex of G. In this present paper, we compute these Eccentric indices for an infinite family of linear polycene parallelogram benzenod by a new method.