3 problems

Let $\mathcal{R}_1$ and $\mathcal{R}_2$ be Rectangulation states, and let $H$ and $V$ denote respectively an all-horizontal and an all-vertical state. Let…

Let $\mathcal{R}_1$ and $\mathcal{R}_2$ be Rectangulation states, and let $d(\mathcal{R}_1,\mathcal{R}_2)$ denote their distance under the flip operation, while…

Let $X_{\pi}=\{(i,\pi(i)):1\leq i\leq n\}$ be the point set associated with a permutation $\pi$, and let a Schröder permutation be a permutation avoiding the patterns…