Da Zhao

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20242026

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3 papers · 1 filter

math.CO2024

Maximize the Steklov eigenvalue of trees

Huiqiu Lin, Da Zhao

We study the maximal Steklov eigenvalues of trees with given number of boundary vertices and total number of vertices. Trees can be regarded as discrete analogue of Hadamard manifo…

math.CO2024

Upper bounds of Steklov eigenvalues on graphs

Huiqiu Lin, Lianping Liu, Zhe You +1

Let $Δ$ and $B$ be the maximum vertex degree and a subset of vertices in a graph $G$ respectively. In this paper, we study the first (non-trivial) Steklov eigenvalue $σ_{2}$ of $G$ w…

math.CO2024

The first Steklov eigenvalue of planar graphs and beyond

Huiqiu Lin, Da Zhao

The Steklov eigenvalue problem was introduced over a century ago, and its discrete form attracted interest recently. Let $D$ and $δ Ω$ be the maximum vertex degree and the set of ve…