Xinyuan Li

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math.CO2026

Nowhere-zero $3$ -flows in graphs with forbidden edge-cuts

Jiaao Li, Xinyuan Li

Tutte's $3$ -flow conjecture asserts that every $4$ -edge-connected graph admits a nowhere-zero $3$ -flow. In 2013, Lovász, Thomassen, Wu, and Zhang proved that every odd- $7$ -edge-con…

math.CO2025

Realizing degree sequences with $S_{3}$ -connected graphs

Rui Guan, Chenglin Jiang, Hong-Jian Lai +2

A graph $G$ is $S_{3}$ -connected if, for any mapping $β : V (G) \mapsto Z_{3}$ with $\sum_{v \in V (G)} β (v) \equiv 0 (mod 3)$ , there exists a strongly connected orientati…

Nowhere-zero 3-flows in graphs with forbidden edge-cuts

Realizing degree sequences with S3​-connected graphs

Nowhere-zero $3$ -flows in graphs with forbidden edge-cuts

Realizing degree sequences with $S_{3}$ -connected graphs