Xuechun Zhang

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20202026

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3 papers · 1 filter

math.CO2026

Stability for the Anti-Ramsey Number of Matchings

Xuechun Zhang, Hongliang Lu

Let $n, r, s$ be three positive integers such that $n \geq 2 s + 5$ . Let $K_{r}$ denote the complete graph of order $r$ . Given a graph $F$ , the anti-Ramsey number $a r (n, F)$ is defined as…

math.CO2022

A proof of Frankl-Kupavskii's conjecture on edge-union condition

Hongliang Lu, Xuechun Zhang

A 3-graph $F$ is \emph{ $U (s, 2 s + 1)$ } if for any $s$ edges $e_{1}, ..., e_{s} \in E (F)$ , $∣ e_{1} \cup ... \cup e_{s} ∣ \leq 2 s + 1$ . Frankl and Kupavskii (2020) proposed the follo…

math.CO2020

A characterization for graphs having strong parity factors

Hongliang Lu, Zixuan Yang, Xuechun Zhang

A graph $G$ has the \emph{strong parity property} if for every subset $X \subseteq V$ with $∣ X ∣$ even, $G$ has a spanning subgraph $F$ with minimum degree at least one such that $d_…