A Numerical Method for MEC Polynomial and MEC Index of One-Pentagonal Carbon Nanocones

作者：Alaeiyan M^*; Asadpour J; Mojarad R

来源：Fullerenes, Nanotubes, and Carbon Nanostructures, 2013, 21(10): 825-835.

DOI：10.1080/1536383X.2011.613546

• MEC index
• MEC polynomial
• one-pentagonal carbon nanocone
• Matlab program

The modified eccentric connectivity (MEC) polynomial of a molecular graph, G, is defined as
(G,x) =
n(G)(u) x(ecc(u)), where ecc(u) is defined as the length of a maximal path connecting u to another vertex of molecular graph G and n(G)(u) is the sum of the degrees of its neighborhoods. The MEC index is the first derivative of this polynomial for x = 1. The pentagonal carbon nanocones are constructed from a graphene sheet by removing a 60 degrees wedge and joining the edges produces a cone with a single pentagonal defect at the apex. In this paper, we determine a numerical method for computing MEC polynomial and MEC index of one-pentagonal carbon nanocones.

• 出版日期2013-11-26