4 papers · 1 filter
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…
Freeness of Arrangements with Regular Underlying Matroids
Weikang Liang, Suijie Wang
We classify freeness for finite central arrangements whose underlying matroids are regular. Let be such an arrangement over an arbitrary field, and put $M=M(\mathcal A…
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…
Level of Faces for Exponential Sequence of Arrangements
Yanru Chen, Houshan Fu, Weikang Liang +1
In this paper, we introduce the bivariate exponential generating function for the number of level- faces of an exponential sequence of arrangements (ESA), and establi…