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. For u∈V(G), defined d(u) be
degree of vertex u. The eccentricity connectivity polynomial of a molecular graph G is defined as ECP(G,x)
= Σ ∈ ( )
deg ( ) ( ) u V G
ecc u
G u x , where ecc(a) is defined as the length of a maximal path connecting a to another vertex of G.
In this paper, we computing this polynomial for linear polycene parallalogram graph of benzenoid by a new method..
Keywords
Eccentricity connectivity polynomial, Eccentricity index, Polycene parallalogram, Benzenod.
Citation
MEHDI ALAEIYAN, RASOUL MOJARAD, JAFAR ASADPOUR, A new method for computing eccentric connectivity polynomial of an infinite family of linear polycene parallelogram benzenod, Optoelectronics and Advanced Materials - Rapid Communications, 5, 7, July 2011, pp.761-763 (2011).
Submitted at: May 3, 2011
Accepted at: July 25, 2011