2 problems

Let ${\mathcal K}$ be a tame knot class, let $\operatorname{bra}{\mathcal K}$ denote its braid index, and let $\operatorname{bri}{\mathcal K}$ denote its bridge index. An $a$-times…

An elastic knot is a knot representative minimizing the bending energy within its knot class, and a prime knot is a knot that cannot be expressed as a nontrivial connected sum. A c…