Certain classes of complementary equienergetic graphs

نویسندگان
Ramane, Harishchandra S. ID 1
Patil, Daneshwari D. ID 2
Pise, Kartik S. ID 3

1 Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India

2 Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India

3 Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad - 580003, India

doi
10.22108/toc.2021.127167.1816
چکیده

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..

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