Certain classes of complementary equienergetic graphs

The energy of a graph is the sum of the absolute values of the eigenvalues of a graph‎. ‎Two graphs are said to be equienergetic if they have same energy‎. ‎A graph is said to be complementary equienergetic if it is equienergetic with its complement‎. ‎Recently several complementary equienergetic graphs have been identified‎. ‎In this paper‎, ‎we characterize the cycles‎, ‎paths‎, ‎complete bipartite regular graphs and iterated line graphs of regular graphs‎, ‎which are complementary equienergetic‎. .