Bicyclic signed digraphs with maximal energy
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摘要
The energy of a digraph (sidigraph) is defined as the sum of absolute values of real parts of its eigenvalues. Monsalve and Rada (2016) determined the bicyclic digraphs with maximal energy among the set of all bicyclic digraphs with fixed order. In this paper, we find the bicyclic sidigraphs with maximal energy over the set of all bicyclic sidigraphs with fixed order. We also construct few families of non-cospectral equienergetic bicyclic sidigraphs.
论文关键词:Energy of signed digraphs,Bicyclic signed digraphs,Equienergetic signed digraphs
论文评审过程:Received 8 March 2018, Revised 9 November 2018, Accepted 12 November 2018, Available online 1 December 2018, Version of Record 1 December 2018.
论文官网地址:https://doi.org/10.1016/j.amc.2018.11.040