Lele Liu

activity

20162026

p

-spectral radius of Berge-hypergraphs

2 citations · 5 across the 10 of their papers we have counts for

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4 papers · 1 filter

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…

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…