3 papers
math.CO2026
Spectral radius of -dimensional simplicial complexes with given Betti number
Chuan-Ming She, Yi-Zheng Fan, Yi-Min Song
In this paper we establish an asymptotic formula for the signless Laplacian spectral radius of a -dimensional simplicial complex with given -th Betti number. Furthermore, we…
math.CO2025
Signless Laplacian spectral radius of simplicial complexes without holes
Yi-Zheng Fan, Chuan-Ming She, Huan-Zhi Zhang
We study a spectral analog of the Turán problem for simplicial complexes. Specifically, we consider the extremal problem of maximizing the signless Laplacian spectral radius among…
math.CO2024
Spectral bipartite Turan problems on linear hypergraphs
Chuan-Ming She, Yi-Zheng Fan, Liying Kang
Let be a graph, and let be the class of -uniform Berge- hypergraphs. In this paper, we establish a relationship between the spectral radius of the adja…