6 papers
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 Treglo…
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…
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…
Graphs with positive Lin-Lu-Yau curvature without quadrilaterals
Huiqiu Lin, Zhe You
The definition of Ricci curvature on graphs was given in Lin-Lu-Yau, Tohoku Math., 2011, which is a variation of Ollivier, J. Funct. Math., 2009. Recently, a powerful limit-free fo…
Estimates of the first Dirichlet eigenvalue of graphs
Huiqiu Lin, Lianping Liu, Zhe You +1
Inspired by the Li--Yau eigenvalue-diameter estimates, we investigate lower bounds for the first Dirichlet eigenvalue in terms of the diameter (or inscribed radius) of a graph. Let…
Halin graphs with positive Lin-Lu-Yau curvature
Kaizhe Chen, Huiqiu Lin, Shiping Liu +1
Halin graphs constitute an interesting class of planar and polyhedral graphs. A generalized Halin graph is obtained by connecting all leaves of a planar embedding of a tree via a c…