Fenglei Tian

activity

20192026

most citedOn graphs with some normalized Laplacian eigenvalue of extremal multiplicity

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2026

Multiplicity of Laplacian eigenvalue 1 of a graph

Yuhao Zhou, Fenglei Tian

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 $G$ . A graph $G$ is…

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.CO2020

Full characterization of graphs having certain normalized Laplacian eigenvalue of multiplicity $n - 3$

Fenglei Tian, Yiju Wang

Let $G$ be a connected simple graph of order $n$ . Let $ρ_{1} (G) \geq ρ_{2} (G) \geq \dots \geq ρ_{n - 1} (G) > ρ_{n} (G) = 0$ be the eigenvalues of the normalized Laplacian matrix $\mathcal{L}(G)…

math.CO2020★ 2 cited

On graphs with some normalized Laplacian eigenvalue of extremal multiplicity

Fenglei Tian, Junqing Cai, Zuosong Liang +1

Let $G$ be a connected simple graph on $n$ vertices. Let $L (G)$ be the normalized Laplacian matrix of $G$ and $ρ_{n - 1} (G)$ be the second least eigenvalue of $\mathcal{L}(…

math.CO2019★ 1 cited

Characterization of graphs with some normalized Laplacian eigenvalue of multiplicity n-3