Spectral integral variation of signed graphs

Published 5 Jan 2024 in math.CO | (2401.02639v1)

Abstract: We characterize when the spectral variation of the signed Laplacian matrices is integral after a new edge is added to a signed graph. As an application, for every fixed signed complete graph, we fully characterize the class of signed graphs to which one can recursively add new edges keeping spectral integral variation to make the signed complete graph.

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