2 papers
math.CO2026
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…
math.CO2026
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…