Wei Wang

collaborators

4 papers

math.CO2025

An Upper Bound on the Number of Generalized Cospectral Mates of Oriented Graphs

Limeng Lin, Wei Wang, Hao Zhang

This paper examines the spectral characterizations of oriented graphs. Let $I^£$ be an $n$ -vertex oriented graph with skew-adjacency matrix $S$ . Previous research mainly focused on…

math.CO2024

The Generation of All Regular Rational Orthogonal Matrices

Quanyu Tang, Wei Wang, Hao Zhang

A \emph{rational orthogonal matrix} $Q$ is an orthogonal matrix with rational entries, and $Q$ is called \emph{regular} if each of its row sum equals one, i.e., $Q e = e$ where $e$ …

math.CO2024

Annihilating polynomial, Jordan canonical from, and generalized spectral characterizations of Eulerian graphs

Kunyue Li, Wei Wang, Hao Zhang

Let $G$ be an Eulerian graph on $n$ vertices with adjacency matrix $A$ and characteristic polynomial $I ¨ (x)$ . We show that when $n$ is even (resp. odd), the square-root of $I ¨ (x)$ …

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,…