Jueru Liu

activity

20232026

collaborators

3 papers

math.CO2026

Localization of the clique spectral version of Zykov's theorem

Changjiang Bu, Jueru Liu, Haotian Zeng

Zykov's theorem shows that $r$ -partite Turán graph uniquely has the maximum number of $K_{t}$ among all $n$ -vertex $K_{r + 1}$ -free graphs for $2 \leq t \leq r$ . The clique tensor is a hig…

math.CO2025

The ordering of hypertrees and unicyclic hypergraphs by the traces of $A_{α}$ -tensor

Jueru Liu, Lizhu Sun, Changjiang Bu

For a real number $α \in [0, 1]$ and a $k$ -uniform hypergraph $H$ , $A_{α} (H) = α D (H) + (1 - α) A (H)$ is called the $\mathc…

math.CO2023

The Laplacian spectral moments of power hypergraphs

Jueru Liu, Lixiang Chen, Changjiang Bu

The $d$ -th order Laplacian spectral moment of a $k$ -uniform hypergraph is the sum of the $d$ -th powers of all eigenvalues of its Laplacian tensor. In this paper, we obtain some exp…

Localization of the clique spectral version of Zykov's theorem

The ordering of hypertrees and unicyclic hypergraphs by the traces of Aα​-tensor

The Laplacian spectral moments of power hypergraphs

The ordering of hypertrees and unicyclic hypergraphs by the traces of $A_{α}$ -tensor