Kragujevac J. Math. 26 (2004) 5-13.

EQUIENERGETIC GRAPHS

Harishchandra S. Ramane,1 Hanumappa B. Walikar,2
Siddani Bhaskara Rao,3 B. Devadas Acharya,4
Prabhakar R. Hampiholi,1 Sudhir R. Jog,1 Ivan Gutman5

1Department of Mathematics, Gogte Institute of Technology, Udyambag,Belgaum - 590008, India
2Department of Mathematics, Karnatak University. Dharwad - 580003, India
3Stat-Math Division, Indian Statistical Institute, 203, Barrackpore Road,Kolkata - 700108, India
4Department of Science and Technology, Government of India, Technology Bhawan, New Mehrauli Road, New Delhi - 110016, India
5Faculty of Science, P. O. Box 60, 34000 Kragujevac, Serbia & Montenegro

Abstract. The energy of a graph is the sum of the absolute values of its eigenvalues. Two graphs are said to be equienergetic if their energies are equal. We show how infinitely many pairs of equienergetic graphs can be constructed, such that these graphs are connected, possess equal number of vertices, equal number of edges, and are not cospectral.