3 problems

Let $K$ be a knot type, let $c[K]$ denote its crossing number, and let $\operatorname{stick}[K]$ denote its stick number. Universal linear stick-number conjecture. Every knot with…

Let $c[K]$ denote the crossing number of a knot type $K$, and let $\operatorname{stick}[K]$ denote its stick number. Let $\beta_*$ be the asymptotic constant such that, for every…

Let $L$ be a 2-bridge link, with stick number $s(L)$ and crossing number $c(L)$, where $s(L)$ is the fewest number of line segments needed to represent $L$ piecewise-linearly and…