Abstract
The energy of a signed digraph S with eigenvalues is defined as , where denotes real part of complex number . In this paper, we obtain the characteristic polynomial of a bipartite signed digraph S of order n with each cycle of length negative and each cycle of length positive. In this case, we obtain an integral expression for the energy and use it to compare the energy of signed digraphs by means of a quasi-order relation. The characteristic polynomial of a bipartite signed digraph S of order n with each cycle negative is also determined. Finally, we obtain a new family of pairs of non-cospectral, equienergetic and strongly connected signed digraphs.
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