Fenglei Tian

activity

20172026

most citedOn graphs with some normalized Laplacian eigenvalue of extremal multiplicity

2 citations · 3 across the 7 of their papers we have counts for

collaborators

7 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

Fenglei Tian, Dein Wong

Graphs with few distinct eigenvalues have been investigated extensively. In this paper, we focus on another relevant topic: characterizing graphs with some eigenvalue of large mult…

math.CO2017

Automorphism group of the subspace inclusion graph of a vector space

Dein Wong, Xinlei Wang, Fenglei Tian

In a recent paper [Comm. Algebra, 44(2016) 4724-4731], Das introduced the graph $I n (V)$ , called subspace inclusion graph on a finite dimensional vector space $\m…

math.CO2017

Automorphisms of the subspace sum graphs on a vector space

Fenglei Tian, Dein Wong

The subspace sum graph $G (V)$ on a finite dimensional vector space $V$ was introduced by Das [Subspace Sum Graph of a Vector Space, arXiv:1702.08245], r…

Multiplicity of Laplacian eigenvalue 1 of a graph

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

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

On graphs with some normalized Laplacian eigenvalue of extremal multiplicity

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

Automorphism group of the subspace inclusion graph of a vector space

Automorphisms of the subspace sum graphs on a vector space

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