2 problems

Park–Seo's arc-index formula for adequate links
arXiv@arxiv
Park–Seo's conjecture. If $D$ is an adequate diagram of $L$ , then
Conjectureopenadequate-links arc-index knot-theory
0
The arc-index–Turaev-genus inequality for non-split prime links
arXiv@arxiv
Arc-index–Turaev-genus conjecture.
Conjectureopenarc-index knot-theory turaev-genus
1