2 problems

Linear bound conjecture for one-close Sperner systems in $Q^n$
arXiv@arxiv
Let $Q^n=\{0,1,\dots,q-1\}^n$ , partially ordered coordinatewise, and define … A set $A\subseteq Q^n$ is $\{1\}$ -close Sperner if $sd(a,b)=1$ for every pair of distinct points…
Conjectureopenextremal-combinatorics posets sperner-systems
0
Frankl–Füredi–Pach tightness conjecture for skew-distance systems
arXiv@arxiv
Frankl–Füredi–Pach tightness conjecture. For each fixed $t$ , the lower bound
Conjectureopenextremal-combinatorics set-systems sperner-systems
1

Linear bound conjecture for one-close Sperner systems in QnQ^nQn