Yi Fan

collaborators

3 papers

math.CO2024

On the Spread of Graph-Related Matrices

Lele Liu, Yi-Zheng Fan, Yi Wang +1

The spread of a real symmetric matrix is defined as the difference between its largest and smallest eigenvalue. The study of graph-related matrices has attracted considerable atten…

math.CO2024

Spectral Methods for Matrix Product Factorization

Saieed Akbari, Yi-Zheng Fan, Fu-Tao Hu +2

A graph $G$ is factored into graphs $H$ and $K$ via a matrix product if there exist adjacency matrices $A$ , $B$ , and $C$ of $G$ , $H$ , and $K$ , respectively, such that $A = B C$ . In…

math.CO2024

The largest Laplacian eigenvalue and the balancedness of simplicial complexes

Yi-Zheng Fan, Hui-Feng Wu, Yi Wang

Let $K$ be a simplical complex, and let $L_{i}^{u p} (K), Q_{i}^{u p} (K)$ be the $i$ -th up Laplacian and signless Laplacian of $K$ , respectively. In this paper we prov…