Balaban index of regular dendrimers
                
                        
                        ABBAS HEYDARI1,*
                            
                        
                    
                    Affiliation
                    
                        
                        - Department of Mathematics, Arak branch, Islamic Azad University, Arak, Iran
 
                        
                    
                     
        
        Abstract
        The Balaban index of a simple connected graph G is defined as Σ∈−+=( )
2
1
( ( ) ( ))
1
( )
uv E G
J G m d u d v
μ
where m is the number of edges, μ is the cyclomatic number of G, d(u) is sum of the distances between vertex u and all of the vertices of G, and the summation goes over all edges from the edge set E(G). In this paper, computation of the Balaban index of regular dendrimers is purposed..
        Keywords
        Topological Index, Balaban Index, Dendrimers.
        Citation
        ABBAS HEYDARI, Balaban index of regular dendrimers, Optoelectronics and Advanced Materials - Rapid Communications, 5, 11, November 2011, pp.1260-1262 (2011).
        Submitted at: Aug. 1, 2011
 
        Accepted at: Nov. 23, 2011