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math.CO2026
A local spectral condition for perfect matchings in 3-graphs
Huiqiu Lin, Hongliang Lu, Feihong Yuan +1
Let be a constant such that , and let be a sufficiently large integer. Consider a -uniform hypergraph on vertices. In 2013, Kühn, Osthus, and Treglown,…
math.CO2026
Maximizing the Steklov eigenvalues on trees with a diameter constraint
Jiangdong Ai, Huiqiu Lin, Yongtang Shi
We study the first nonzero Steklov eigenvalue of the Dirichlet-to-Neumann operator on a finite tree with leaf boundary , under a constraint on the diameter .…
math.CO2026
A Faber--Krahn inequality for trees
Huiqiu Lin, Lianping Liu, Zhe You
The well-known Faber-Krahn theorem states that the ball has the lowest first Dirichlet eigenvalue among all domains of the same volume in . Leydold (Geom. Funct. Anal…