3 problems

Kauffman–Jablan conjecture. If $K$ has no minimal achiral projection, then $K$ is arborescent.

Kauffman’s conjecture. Every achiral alternating knot has a minimal achiral projection.

Let $K$ be an alternating $-$achiral knot. A minimal projection of $K$ is a projection with the minimal possible number of crossings. An involution is a map $\varphi:S^3\to S^3$ sa…