2 problems

Chao–Xu–Yip–Zhang's uniform certificate conjecture
Chao–Xu–Yip–Zhang's conjecture.
openFrom papersextremal-set-theory uniform-families vc-dimension
0 responses
10
O'Neill and Versträete's uniform extremal-family conjecture
O'Neill and Versträete's conjecture. Let $k>r\geq2$ and $n\geq kr(r-1)$ . Then the unique extremal non-trivial $r$ -wise intersecting families in $\binom{[n]}k$ are ${\rm BD}_r(n,k)$ …
openFrom papersextremal-combinatorics intersecting-families uniform-families
0 responses
6

Chao–Xu–Yip–Zhang's uniform certificate conjecture