Title of article :
Certain classes of complementary equienergetic graphs
Author/Authors :
Ramane, Harishchandra S Department of Mathematics - Karnatak University, Dharwad, India , Patil, Daneshwari D Department of Mathematics - Karnatak University, Dharwad, India , pise, Kartik S. Department of Mathematics - Karnatak University, Dharwad, India
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 cycles, paths, complete bipartite regular graphs and iterated line graphs of regular graphs, which are complementary equienergetic.
Keywords :
Energy of a graph , complementary equienergetic graphs , cycle path , iterated line graphs
Journal title :
Transactions on Combinatorics
