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Energy of extended bipartite double graphs. (English) Zbl 1492.05148

Summary: The energy of a graph is the sum of the absolute values of its eigenvalues. In this article, an exact relation between the energy of extended bipartite double graph and the energy of a graph together with some other graph parameters is given. As a consequence, equienergetic, borderenergetic, orderenergetic and non-hyperenergetic extended bipartite double graphs are presented. The obtained results generalize the existing results on equienergetic bipartite graphs.

MSC:

05C92 Chemical graph theory
92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
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