Xinyu Zhou

activity

20232026

collaborators

4 papers

math.CO2026

Oriented paths with two blocks in bipartite oriented graphs

Bin Chen, Meishuang Chen, Xinmin Hou +1

Stein conjectured that for any integer $k \geq 2$ , every oriented graph with minimum semidegree greater than $k /2$ contains every orientation of a path with $k$ edges. Recently, Che…

math.CO2025

Paths with two blocks in oriented graphs of large minimum semi-degree

Bin Chen, Xinmin Hou, Xinyu Zhou

Stein (2020) conjectured that for any positive integer $k$ , every oriented graph of minimum semi-degree greater than $k /2$ contains every oriented path of length $k$ . This conjectu…

math.CO2024

Long antipaths and anticycles in oriented graphs

Bin Chen, Xinmin Hou, Hongyu Zhou

Let $δ^{0} (D)$ be the minimum semi-degree of an oriented graph $D$ . Jackson (1981) proved that every oriented graph $D$ with $δ^{0} (D) \geq k$ contains a directed path of length $2k…

math.CO2023

A new connectivity bound for a tournament to be highly linked

Bin Chen, Xinmin Hou, Gexin Yu +1

A digraph $D$ is $k$ -linked if for any pair of two disjoint sets ${x_{1}, x_{2}, \dots, x_{k}}$ and ${y_{1}, y_{2}, \dots, y_{k}}$ of vertices in $D$ , there exist vertex disjoint d…