Abstract
Let G=(V,E) be a molecular graph, where V(G) is a non-empty set of vertices and E(G) is a set of edges. For uV(G), dfined deg(u) be degree of vertex u, and nG(u) is the sum of the degrees of its neighborhoods. The modified eccentricity
connectivity polynomial of a molecular graph G is defined as (G,x)=uV (G)nG(u). xecc(u), where ecc(u) is defined as the
length of a maximal path connecting u to another vertex of molecular graph G. In this paper, we computing this polynomial
for an infinite family of linear polycene parallelogram P(n,n)..
Keywords
Modified eccentricity connectivity polynomial, Polycene parallelogram.
Citation
MEHDI ALAEIYAN, JAFAR ASADPOUR, Computing the MEC polynomial of an infinite family of the linear parallelogram P(n,n), Optoelectronics and Advanced Materials - Rapid Communications, 6, 1-2, January-February 2012, pp.191-193 (2012).
Submitted at: Aug. 17, 2011
Accepted at: Feb. 20, 2012