Computing GA4 index of an infinite class of nanostar dendrimers
                
                        
                        S. EDİZ1,*
                            
                        
                    
                    Affiliation
                    
                        
                        - Department of Mathematics, Yüzüncü Yıl University, Van, Turkey
 
                        
                    
                     
        
        Abstract
        Let G be a connected graph, the GA index (Geometric-Arithmetic index) is a topological index was defined as
( )
( ) 1( )
2
u v
uv E G
u v
d d
GA G
∈ d d
=
+
Σ where u d denotes degree of u. Now we define a new version of GA index as
4
( )
( ) ( )
( ) 1( ( ) ( ))
2
uv E G
u v
GA G
u v
ε ε
∈ ε ε
=
+
Σ where ε (v) is the largest distance between v and any other vertex u of G or the eccentricity
of v. In this paper an exact formula for the 4 GA index of an infinite class of nanostar dendrimers is given.
        Keywords
        Dendrimer, Eccentricity, GA4 index.
        Citation
        S. EDİZ, Computing GA4 index of an infinite class of nanostar dendrimers, Optoelectronics and Advanced Materials - Rapid Communications, 4, 12, December 2010, pp.2198-2199 (2010).
        Submitted at: Sept. 25, 2010
 
        Accepted at: Nov. 29, 2010