On VE and EV Degree Based Topological Index of Graphs

Abstract

In this dissertation, we calculated topological indices named ve-degree Zagreb alpha index, first ve-degree Zagreb beta index, second ve-degree Zagreb beta index, ve degree Randic index, ev-degree Randic index, ve-degree atom-bond connectivity index, ve-degree geometric-arithmetic index, ve-degree harmonic index and ve degree sum-connectivity index for Path graph, Cycle graph, Fan graph, Friendship graph, Complete graph, Jahangir graph, Generalized Petersen graph, Circulant graph, Sun graph, Wheel graph and Cartesian product of graph. In addition, we compared results of topological indices for each graph separately and represented it graphically.