Lin Ge

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math.CO2026

Spectral moments and characteristic polynomials of vertex expansion hypergraphs of graphs

Ge Lin, Changjiang Bu

The $s$ -vertex expansion hypergraph $G^{[s]}$ is the $2 s$ -uniform hypergraph obtained by replacing each vertex of a graph $G$ with $s$ new vertices. A closed walk in $G$ is called…

math.CO2026

All eigenvalues of the blowup of a graph

Ge Lin, Changjiang Bu

The $s$ -blowup of a graph ( $s \geq 2$ ) is the $2 s$ -uniform hypergraph obtained by replacing each vertex with a set of size $s$ and preserving the adjacency relation. In this paper, w…

math.CO2023

The multiplicity of the zero Laplacian eigenvalue of uniform hypertrees

Ge Lin, Changjiang Bu

In this paper, the Laplacian characteristic polynomial of uniform hypergraphs with cut vertices or pendant edges and the Laplacian matching polynomial of uniform hypergraphs are ch…