2 problems

M{"o}bius ladder conjecture. For even $n\ge 4$,

Facet-orbit conjecture. If $G=M_{2m}$ with $m\ge 4$, then among the facets of $\operatorname{CUTP}(G)$ there are two orbits of $4m$ and $2m$ edge facets from the ring- and rung-edg…