Author

Jie Han

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Preprint Aug 2026

Tight Hamiltonian Cycles in Uniformly Dense $3$-Graphs

We study minimum degree conditions for tight Hamiltonian cycles in uniformly dense $3$-uniform hypergraphs. We prove that for every $d,\alpha>0$, every sufficiently large $(\rho,d)$-dense $3$-graph on $n$ vertices with minimum codegree at least $(1/3+\alpha)n$ contains a tight Hamiltonian cycle. This resolves a problem...

Yao-Bin Chen, Jie Han, Xi-Zhi Liu · 0 citations

Preprint Jul 2026

On the number of factorable induced subgraphs

Let $F$ be an $r$-vertex graph. In this paper, we study the $F$-factor problem in random induced subgraphs of dense graphs. We show that for any $r$-vertex graph $F$ and $\gamma>0$, if $H$ is an $n$-vertex graph with minimum degree at least $(1-1/\chi_{cr}(F)+\gamma)n$, then for every fixed $p \in (0,1)$, the random in...

Jie Han, Bin Wang, Jingwen Zhao · 0 citations