University of IsfahanTransactions on Combinatorics2251-865711120220301Certain classes of complementary equienergetic graphs45512591410.22108/toc.2021.127167.1816ENHarishchandra S.RamaneDepartment of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India0000-0003-3122-1669Daneshwari D.PatilDepartment of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India0000-0001-8884-5910Kartik S.PiseDepartment of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India0000-0002-5403-3735Journal Article20210124The 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