4 papers
Füredi's Conjecture and a Sharp Strengthening
Zihao Huang, Suijie Wang
We prove a strengthening of Füredi's conjecture on strong Bollobás -systems. For nonnegative integers and , a family of pairs of finite sets satisfyin…
An AFLT-type generalization of the -Baker--Forrester ex-conjecture
Zihao Huang, Wenlong Jiang, Yue Zhou
The Habsieger--Kadell -Morris constant term identity, which is equivalent to the famous -Selberg integral, has been generalized in numerous ways since the 1980s. Among these,…
Covering Hypercube
Zihao Huang, Miao Wang, Suijie Wang
The Alon--Füredi theorem determines the minimum number of hyperplanes needed to cover every nonzero vertex of the Boolean cube while avoiding the origin. We study hyperplane coveri…
Several New Generalizations of LYM Inequality
Zihao Huang, Weikang Liang, Yujiao Ma +1
The LYM inequality is a fundamental result concerning the sizes of subsets in a Sperner family. Subsequent studies on the LYM inequality have been generalized to families of -de…