On Second Atom-Bond Connectivity Index

Document Type : Research Paper


1 Mahallat Branch, Islamic Azad University, Iran

2 Arak University, Iran

3 Shahid Rajaee Teacher Training University, I. R. Iran


The atom-bond connectivity index of graph is a topological index proposed by Estrada et al. as ABC (G)  uvE (G ) (du dv  2) / dudv , where the summation goes over all edges of G, du and dv are the degrees of the terminal vertices u and v of edge uv. In the present paper, some upper bounds for the second type of atom-bond connectivity index are computed.