University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 1 Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry) 2010 04 01 Eccentric Connectivity Index: Extremal Graphs and Values 45 56 5154 10.22052/ijmc.2010.5154 EN T. DOŠLIĆ University of Zagreb, CROATIA M. SAHELI University of Kashan, I. R. IRAN D. VUKIČEVIĆ University of Split , CROATIA Journal Article 2014 04 22 Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine the leading coefficient in the asymptotic behavior. https://ijmc.kashanu.ac.ir/article_5154_3596a800067167a2d76a24fda346d9f6.pdf