Lele Liu

activity

20162026

most citedOn the principal eigenvectors of uniform hypergraphs

20 citations · 36 across the 15 of their papers we have counts for

collaborators

16 papers

math.CO2026

On spectral Turán theorems: confirming a conjecture of Guiduli and two problems of Nikiforov

Lele Liu, Bo Ning

Let $G$ be an $n$ -vertex graph, and let $λ (G)$ and $λ_{n} (G)$ denote the largest and smallest eigenvalues of its adjacency matrix. Write $e (G)$ for the number of edges of $G$ , $d(G)=…

math.CO2023

Spectral Turán-type problems on sparse spanning graphs

Lele Liu, Bo Ning

Let $F$ be a graph and $\SPEX (n, F)$ be the class of $n$ -vertex graphs which attain the maximum spectral radius and contain no $F$ as a subgraph. Let $\EX (n, F)$ be the family of…

math.CO2023

Unsolved Problems in Spectral Graph Theory

Lele Liu, Bo Ning

Spectral graph theory is a captivating area of graph theory that employs the eigenvalues and eigenvectors of matrices associated with graphs to study them. In this paper, we presen…

math.CO2022

Spectral Turán Type Problems on Cancellative Hypergraphs

Zhenyu Ni, Lele Liu, Liying Kang

Let $G$ be a cancellative $3$ -uniform hypergraph in which the symmetric difference of any two edges is not contained in a third one. Equivalently, a $3$ -uniform hypergraph $G$ is c…

math.CO2022

Two conjectures in spectral graph theory involving the linear combinations of graph eigenvalues

Lele Liu

We prove two conjectures in spectral extremal graph theory involving the linear combinations of graph eigenvalues. Let $λ_{1} (G)$ be the largest eigenvalue of the adjacency matrix of…

math.CO2022

Maximum principal ratio of the signless Laplacian of graphs

Lele Liu, Shengming Hu, Changxiang He

Let $G$ be a connected graph and $Q (G)$ be the signless Laplacian of $G$ . The principal ratio $γ (G)$ of $Q (G)$ is the ratio of the maximum and minimum entries of the Perron vector…