4 problems

Let $K$ be an amphichiral knot type and let $\omega$ be a minimal simple cubic lattice representative of $K$. Consider the minimal BFACF graph and the reflected mirror seed of…

Let $[K]$ be a knot type, let $s_{sh}[K]$ denote its stick number in the simple hexagonal lattice, and let $c[K]$ denote its crossing number. Crossing-number bound conjecture. For…

Let $[K]$ be a knot type, let $s_{sh}[K]$ denote its stick number in the simple hexagonal lattice, and let $3_1$, $4_1$, $5_1$, and $5_2$ denote the indicated knot types. 13-stick…

Let $[K]$ be the lattice-knot equivalence class of a knot $K$, let $[U]$ be the equivalence class of the unknot, and let $\delta_V$ denote vertex distortion. Unknot characterization…