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