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math.CO2024
The Generation of All Regular Rational Orthogonal Matrices
Quanyu Tang, Wei Wang, Hao Zhang
A \emph{rational orthogonal matrix} is an orthogonal matrix with rational entries, and is called \emph{regular} if each of its row sum equals one, i.e., where …
math.CO2024
Annihilating polynomial, Jordan canonical from, and generalized spectral characterizations of Eulerian graphs
Kunyue Li, Wei Wang, Hao Zhang
Let be an Eulerian graph on vertices with adjacency matrix and characteristic polynomial . We show that when is even (resp. odd), the square-root of (r…
math.CO2024
A new criterion for oriented graphs to be determined by their generalized skew spectrum
Yiquan Chao, Wei Wang, Hao Zhang
Spectral characterizations of graphs is an important topic in spectral graph theory which has been studied extensively by researchers in recent years. The study of oriented graphs,…