3 problems

For each positive integer $n$, let … Width-two range conjecture. There exists a constant $c>1$ such that the upper end of the known interval in $\mathcal T_e(n)$ can be improved fr…

For each positive integer $n$, let $M_2(n)$ be the smallest positive integer that is not the linear extension number of a width-$2$ poset. Width-two conjecture. … The motivation is…

Width-two optimality conjecture. If $P$ cannot be formed from $\mathbf{1}$ and $\mathcal{E}$ using direct sums, then