2 papers
math.GT2024
Minimal grid diagrams of the prime knots with crossing number 14 and arc index 13, 14
Hwa Jeong Lee, Alexander Stoimenow, Hun Kim +7
There are 46,972 prime knots with crossing number 14. Among them 19,536 are alternating and have arc index 16. Among the non-alternating knots, 17, 477, and 3,180 have arc index 10…
math.GT2024
Minimal grid diagrams of the prime alternating knots with 13 crossings
Hwa Jeong Lee, Alexander Stoimenow, Gyo Taek Jin
A knot is a closed loop in space without self-intersection. Two knots are equivalent if there is a self homeomorphism of space bringing one onto the other. An arc presentation is a…