3 papers
math.CO2026
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.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
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…