The augmented eccentric connectivity index of an infinite class of nanostar dendrimers
S. EDİZ1,*
Affiliation
- Department of Mathematics, Yüzüncü Yıl University, Van, Turkey
Abstract
Let G be a molecular graph, the augmented eccentric connectivity index is a topological index was defined as
1
( )
n
A c i
i i
G M
E
ξ
=
⎛ ⎞
= ⎜ ⎟
⎝ ⎠
Σ where i M is the product of degrees of all vertices j v , adjacent to vertex i v , i E is the largest
distance between i v and any other vertex k v of G or the eccentricity of i v and n is the number of vertices in graph G. In
this paper an exact formula for the augmented eccentric connectivity index of an infinite class of nanostar dendrimers is
given.
Keywords
Augmented Eccentric Connectivity Index, Eccentricity, Dendrimer.
Citation
S. EDİZ, The augmented eccentric connectivity index of an infinite class of nanostar dendrimers, Optoelectronics and Advanced Materials - Rapid Communications, 4, 12, December 2010, pp.2216-2217 (2010).
Submitted at: Sept. 29, 2010
Accepted at: Nov. 29, 2010