Wei Wang

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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.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…

math.CO2024

New arithmetic invariants for cospectral graphs

Yizhe Ji, Quanyu Tang, Wei Wang +1

An invariant for cospectral graphs is a property shared by all cospectral graphs. In this paper, we establish three novel arithmetic invariants for cospectral graphs, revealing dee…