Bicyclic signed digraphs with maximal energy

Sumaira Hafeez, Rashid Farooq and Mehtab Khan

Applied Mathematics and Computation, 2019, vol. 347, issue C, 702-711

Abstract: 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.

Keywords: Energy of signed digraphs; Bicyclic signed digraphs; Equienergetic signed digraphs (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:702-711

DOI: 10.1016/j.amc.2018.11.040

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