3 papers
math.CO2026
Alternating Hamilton Paths and Cycles in Poset Products
Yuxian Dong, Jianxi Mao
We study alternating Hamilton paths and cycles in the comparability graphs of finite posets. We prove that if a finite poset with at least two elements admits an alternating Ha…
math.CO2026
Proof of Fishburn's latent-subset conjecture
Yuxian Dong, Jianxi Mao
Fishburn's latent-subset conjecture, proposed in 1987 and revisited in 1988, asserts that for every dual intersecting family , there exists s…
math.CO2026
Engel's Interval Packing Problem in the Boolean Lattice
Yuxian Dong, Jianxi Mao
Let \(\mathcal{B}_n\) be the Boolean lattice of all subsets of \([n]\) and let \(\mathcal{P}_{n;\ell,u}\) be the subposet of \(\mathcal{B}_n\) induced by the consecutive levels \(\…