Wei Wang

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20242026

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4 papers · 1 filter

math.CO2025

On a generalization of the Johnson-Newman theorem to multiple rank-one perturbations

Wei Wang, Siqi Wu

Wang and Zhao (Adv. Appl. Math. 173 (2026) 102994) generalized the classic Johnson-Newman theorem on simultaneous similarity of symmetric matrices from a single rank-one perturbati…

math.CO2025

A very short note on a problem of Godsil and Sun

Wei Wang

Using the spectral theorem for symmetric matrices over a real closed field, we give a quick answer to a problem of Godsil and Sun on degree-similarity of graphs.

math.SG2025

On the common index jump theorem and further developments

Huagui Duan, Yiming Long, Wei Wang +1

In [LZ02] published in Annals of Mathematics, Long and Zhu established originally the common index jump theorem (CIJT) for symplectic paths in 2002, which has played an important r…

math.CO2025

Degree-similar graphs and cospectral graphs

Yi-Zheng Fan, Ruo-Jie Xing, Yi-Liu Zhang +1

Let $G$ be a graph with adjacency matrix $A (G)$ and degree matrix $D (G)$ , and let $L_{μ} (G) := A (G) - μ D (G)$ . Two graphs $G_{1}$ and $G_{2}$ are called \emph{degree-similar} if there exists…