2 problems

Ranked-poset conjecture for tilted Bruhat order. The poset $(S_n,\leq_{\mathbf{a}})$ is ranked.

Finite forbidden-subdiagram conjecture. There exists a finite number of special families of subdiagrams $\mathcal{F}$ such that, for any diagram $D_0$, $\mathcal{P}(D_0)$ is ranked…