Shuliang Bai

activity

20172026

most citedRicci-flat graphs with maximum degree at most 4

3 citations · 10 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.CO2026

Positively Lin-Lu-Yau curved graphs with no $K_{2, t}$ minor

Shuliang Bai, Xiaonan Liu, Zi-Xia Song

Let $G$ be a connected graph with minimum degree at least two, positive Lin-Lu-Yau Ricci curvature, and no $K_{2, t}$ minor, where $t \geq 3$ is an integer. We first establish tight u…

math.AT2026

Signed GLMY Homology of Signed Graphs via Double Covers

Shuliang Bai, Jingyan Li, Shing-Tung Yau

We define a signed GLMY chain complex over $R$ for signed digraphs using sheet-labelled regular paths. The complex is naturally isomorphic to the deck anti-invariant subco…

math.AT2026

A Sharp Curvature Threshold for GLMY Path Homology

Shuliang Bai, Jingyan Li, Shing-Tung Yau

Let $G$ be a finite simple graph with at least one edge. We prove the sharp vanishing theorem \[ κ_{\min}^{\mathrm{LLY}}(G)>\frac12 \quad\Longrightarrow\quad \PathH_1(G;\R)=0. \] E…

Positively Lin-Lu-Yau curved graphs with no K2,t​ minor

Signed GLMY Homology of Signed Graphs via Double Covers

A Sharp Curvature Threshold for GLMY Path Homology

Positively Lin-Lu-Yau curved graphs with no $K_{2, t}$ minor