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.
DOŠLIĆ, T., SAHELI, M., & VUKIČEVIĆ, D. (2010). Eccentric Connectivity Index: Extremal Graphs and Values. Iranian Journal of Mathematical Chemistry, 1(Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry)), 45-56. doi: 10.22052/ijmc.2010.5154
MLA
T. DOŠLIĆ; M. SAHELI; D. VUKIČEVIĆ. "Eccentric Connectivity Index: Extremal Graphs and Values", Iranian Journal of Mathematical Chemistry, 1, Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry), 2010, 45-56. doi: 10.22052/ijmc.2010.5154
HARVARD
DOŠLIĆ, T., SAHELI, M., VUKIČEVIĆ, D. (2010). 'Eccentric Connectivity Index: Extremal Graphs and Values', Iranian Journal of Mathematical Chemistry, 1(Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry)), pp. 45-56. doi: 10.22052/ijmc.2010.5154
VANCOUVER
DOŠLIĆ, T., SAHELI, M., VUKIČEVIĆ, D. Eccentric Connectivity Index: Extremal Graphs and Values. Iranian Journal of Mathematical Chemistry, 2010; 1(Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry)): 45-56. doi: 10.22052/ijmc.2010.5154
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