Author

Yu-jeong Chang

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Preprint Aug 2026

An Exact Dominant Degree Condition for Transitive Tournament Factors in Digraphs

Let $r\ge2$, let $T_r$ denote the transitive tournament on $r$ vertices, and write $d_G^*(v):=\max\{d_G^+(v),d_G^-(v)\}$. We prove that if $r\mid n$ and an $n$-vertex digraph $G$ satisfies $d_G^*(x)+d_G^*(y)\ge 2(1-1/r)n-1$ for every $x\ne y \in V(G)$ with $xy \notin E(G)$, then $G$ has a $T_r$-factor, and the bound is...

Yu-jeong Chang, Shuo Wei, Jin Yan · 2 citations · ⚡1

Preprint Aug 2026

Hitting Maximum Independent Sets in Dense and Highly Connected Graphs

For a graph $G$, let $h(G)$ be the minimum cardinality of a vertex set meeting every maximum independent set of $G$. We establish two complementary reduction principles for the Bollob\'as--Erd\H{o}s--Tuza conjecture: the conjecture for arbitrary graphs is equivalent to its restriction to regular graphs of any fixed pos...

Han-Zhi Bai, Yu-jeong Chang, Jin Yan · 0 citations