1 citations · 1 across the 9 of their papers we have counts for
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Supersaturation for Eventown via Generator Switching
Zicheng Han, Xiande Zhang, Yuhao Zhao
An eventown family is a family of even-sized subsets of in which every two distinct members have an even-sized intersection. A classical theorem of Berlekamp and Graver shows…
A superlogarithmic saving for Oddtown modulo composite numbers
Yuhao Zhao
Let be the largest size of a family such that no member has size divisible by , while the intersection of every two distinct membe…
Counting cliques with prescribed intersection sizes
Yuhao Zhao, Xiande Zhang
We study the generalized Turán problem regarding cliques with restricted intersections, which highlights the motivation from extremal set theory. Let $L=\{\ell_1,\dots,\ell_s\}\sub…
Focal-free uniform hypergraphs and codes
Xinqi Huang, Chong Shangguan, Xiande Zhang +1
Motivated by the study of a variant of sunflowers, Alon and Holzman recently introduced focal-free hypergraphs. In this paper, we show that there is an interesting connection betwe…
Improved upper bounds for wide-sense frameproof codes
Yuhao Zhao, Xiande Zhang
Frameproof codes have been extensively studied for many years due to their application in copyright protection and their connection to extremal set theory. In this paper, we invest…
On supersaturation for oddtown and eventown
Xin Wei, Yuhao Zhao, Xiande Zhang +1
We study the supersaturation problems of oddtown and eventown. Given a family of subsets of an element set, let denote the number of distinct pair…