Harishchandra Ramane - Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - ۵۸۰۰۰۳, India
Daneshwari Patil - Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - ۵۸۰۰۰۳, India
Kartik Pise - Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - ۵۸۰۰۰۳, India

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. .

‎Energy of a graph‎, ‎complementary equienergetic graphs‎, ‎cycle‎, ‎path‎, ‎iterated line graphs