4 problems

Relations-between-relations conjecture. The $2$-complex $C$ has precisely these types of $2$-cells.

Skew-shape generalization. Theorem MainStraight holds more generally when $[bc^*]$ and $[bb^*]$ are $e$-small skew shapes rather than straight shapes.

Six-cycle spanning conjecture. For $m,n\in\mathbb{N}$, these component-planar graphs span

Let $w\in \mathfrak{S}_n$ be a $321$-avoiding and $2$-repeating permutation. Let $u,v\in\mathfrak{S}_n$ satisfy $u\leq v\leq w$, and let $\tilde{R}_{u,v}(t)$ denote the correspondi…