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

作者：

Highlights：

• 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.

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.

论文关键词：Inertia index,Mixed graph,DHS,Hermitian adjacency matrix

论文评审过程：Received 26 January 2020, Revised 30 March 2020, Accepted 5 April 2020, Available online 15 April 2020, Version of Record 15 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125279