Certain classes of complementary equienergetic graphs

Abstract

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 cycle, path, complete bipartite regular graph and iterated line graph of regular graph, which are complementary equienergetic.