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math.CO2026
Maximizing the signless Laplacian spectral radius of simplicial 2-complexes with a prescribed second Betti number
Chuan-Ming She, Yi-Zheng Fan, Yi-Min Song
We study how a prescribed second Betti number constrains the largest eigenvalue of the signless Laplacian on edges of a pure two-dimensional simplicial complex. For each fixed posi…
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★ 2 cited
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…