A signed bipartite graph with a squarefree half-discriminant and a plus or minus one constant or linear coefficient is determined by its generalized spectrum whenever it is controllable or almost controllable.
Wang, A simple arithmetic criterion for graphs being determined by their generalized spectra, J
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Generalized spectral characterization of signed bipartite graphs
A signed bipartite graph with a squarefree half-discriminant and a plus or minus one constant or linear coefficient is determined by its generalized spectrum whenever it is controllable or almost controllable.