Lele Liu

activity

20162026

p

-spectral radius of Berge-hypergraphs

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

collaborators

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10 papers · 1 filter

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.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…

math.CO2022★ 1 cited

Extremal spectral radius of nonregular graphs with prescribed maximum degree

Lele Liu

Let $G$ be a graph attaining the maximum spectral radius among all connected nonregular graphs of order $n$ with maximum degree $Δ$ . Let $λ_{1} (G)$ be the spectral radius of $G$ . A n…

math.CO2021

Revisiting the Maximum Principal Ratio of Graphs

Lele Liu, Changxiang He

Let $G$ be a connected graph, the principal ratio of $G$ is the ratio of the maximum and minimum entries of its Perron eigenvector. In 2007, Cioab\v a and Gregory conjectured that…

math.CO2020

A proof of a conjecture on the distance spectral radius and maximum transmission of graphs

Lele Liu, Haiying Shan, Changxiang He

Let $G$ be a simple connected graph, and $D (G)$ be the distance matrix of $G$ . Suppose that $D_{m a x} (G)$ and $λ_{1} (G)$ are the maximum row sum and the spectral radius of $D (G)$ , re…

math.CO2018★ 2 cited

The extremal $p$ -spectral radius of Berge-hypergraphs

Liying Kang, Lele Liu, Linyuan Lu +1

Let $G$ be a graph. We say that a hypergraph $H$ is a Berge- $G$ if there is a bijection $ϕ : E (G) \to E (H)$ such that $e \subseteq ϕ (e)$ for all $e \in E (G)$ . For any $r$ -uniform hyper…