University of Isfahan Transactions on Combinatorics 2251-8657 11 1 2022 03 01 Certain classes of complementary equienergetic graphs 45 51 25914 10.22108/toc.2021.127167.1816 EN Harishchandra S. Ramane Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India Daneshwari D. Patil Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India Kartik S. Pise Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India Journal Article 2021 01 24 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.<br />. https://toc.ui.ac.ir/article_25914_84cb16550fbe408bdebe487a425cfe3a.pdf