Huiqiu Lin

activity

20242026

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2 papers · 1 filter

math.CO2026

Bipartite graphs, random graphs, and Lin--Lu--Yau curvature

Huiqiu Lin, Zhe You, Da Zhao

Let $G = (X, Y; E)$ be a bipartite graph with parts $X$ and $Y$ where $∣ X ∣ = m$ and $∣ Y ∣ = n$ . We show that every bipartite graph with more than $mn - D (m, n)$ edges has positive Lin--L…

math.CO2026

Krahn--Szegő type inequalities and nodal domain methods on graphs

Huiqiu Lin, Lianping Liu, Xilong Yin +1

We study discrete analogues of classical spectral geometric inequalities and extremal eigenvalue problems on graphs. The classical Krahn--Szegő inequality states that, among bounde…