Dein Wong

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20232026

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2 papers · 1 filter

math.CO2025

On the multiplicity of 1 as a Laplacian eigenvalue of a graph

Fenglei Tian, Dein Wong

Let $G$ be a graph with $p (G)$ pendant vertices and $q (G)$ quasi-pendant vertices. Denote by $m_{L (G)} (λ)$ the multiplicity of $λ$ as a Laplacian eigenvalue of $G$ . Let $\overline{…

math.CO2025

Laplacian eigenvalue distribution and girth of graphs

Wenhao Zhen, Dein Wong, Songnian Xu

Let $G$ be a connected graph on $n$ vertices with girth $g$ . Let $m_{G} I$ denote the number of Laplacian eigenvalues of graph $G$ in an interval $I$ . In this paper, we show that if $…