Transactions on Combinatorics (Mar 2022)
Certain classes of complementary equienergetic graphs
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. .
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