7 papers
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…
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…
Ideal Decomposition of Hyperplane Arrangements
Yanru Chen, Weikang Liang, Suijie Wang +1
Let be an affine hyperplane arrangement, its intersection poset, and its characteristic polynomial. This paper aims to propose…
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…
Characterizing Nice Partition of Graphical Arrangements
Weikang Liang, Suijie Wang, Chengdong Zhao
The successive works of Terao as well as Stanley revealed that, for graphical arrangements, supersolvability and the existence of nice partitions are equivalent properties, both ch…