The poset of king permutations on a cylinder

Eli Bagno, Estrella Eisenberg, Shulamit Reches ans Moriah Sigron

A permutation $\sigma =[{\sigma }_1,\dots ,{\sigma }_n]\in S_n$ is called a {\em cylindrical king permutation} if $|{\sigma }_{i+1}-{\sigma }_i|>1$ for each $1\le i\le n-1$ and $|{\sigma }_1-{\sigma }_n|>1$. The name comes from…