Yi-Zheng Fan

collaborators

11 papers

math.CO2026

Tensor Spectral Stability for Uniform Hypergraphs with Bounded Matching Number

Yi Xu, Yi-Zheng Fan

We establish a tensor spectral stability theorem for uniform hypergraphs with bounded matching number. More precisely, for fixed integers $k \geq 3$ and $I^^{2} \geq 2$ , and sufficiently…

math.CO2026

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes

Huan-Zhi Zhang, Yi-Min Song, Yi-Zheng Fan

Let $K$ be an $r$ -dimensional simplicial complex. We prove that the spectrum of its $(r - 1)$ -dimensional up-Laplacian is majorized by the conjugate degree sequence of its $(r - 1)…

math.CO2026

Signless Laplacian Spectral Radius and Link Homology of Simplicial Complexes

Yi-Zheng Fan, Huan-Zhi Zhang

In this paper, we study the signless Laplacian spectral radius of pure simplicial complexes under local homological restrictions on links. Let $K$ be a pure $r$ -dimensional complex…

math.CO2026

Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes

Huan-Zhi Zhang, Yi-Zheng Fan

Let $K$ be a finite $r$ -dimensional simplicial complex with vertex set $V$ of size $n$ . We study the largest eigenvalue of the combinatorial $(r - 1)$ -up Laplacian $L^{\operatorname{…

math.CO2026

Orthogonal degree-similarity of edge-deleted strongly regular graphs

Yi-Zheng Fan, Wei Wang, Kuo Zhang

Godsil and Sun asked whether, for a strongly regular graph $X$ and any two different edges $e$ and $f$ , the edge-deleted graphs $X ∖ e$ and $X ∖ f$ are degree-similar…

math.CO2026

Smith normal forms for coalescences at cospectral vertices

Yi-Zheng Fan, Kuo Zhang, Wei Wang

Let $L_{I^} ¼ (G) = A (G) - I^¼ D (G)$ be the generalized $I^¼$ -adjacency matrix of a finite graph $G$ . Fan, Xing, Zhang, and Wang constructed pairs of non-degree-similar trees for which the Smi…