Characterizing the mixed graphs with exactly one positive eigenvalue and its application to mixed graphs determined by their H-spectra

Applied Mathematics and Computation（2020）

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摘要

•Our main result provides a complete characterization of mixed graphs with positive inertia index 1.•Some new classes of mixed graphs determined by their H-spectra are found.•We provide a new idea to deal with DHS problem.

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关键词

Inertia index,Mixed graph,DHS,Hermitian adjacency matrix

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