Abstract

The energy of a graph is that the total of absolute values of its eigenvalues. In this paper, we investigate the energy of complement of extended bipartite double graphs, complement of strong double graphs and complement of double graphs in terms of energy of underlying graph or its complement. As a consequence of energy of these graphs, various energy types are discussed. The obtained results generalize some of the existing results on equienergetic graphs. Moreover, some new class of equienergetic graphs are characterized.

Keywords and Phrases

Extended bipartite double graph, Strong double graph, Double graph, Equienergetic graphs, Orderenergetic graphs, Hyperenergetic graphs.

A.M.S. subject classification

05C50, 05C76.

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