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 knots with crossing number 13 and arc index 13
Hwa Jeong Lee, Yoonsang Lee, Chanmin Lee +3
We give a list of minimal grid diagrams of the 13 crossing prime nonalternating knots which have arc index 13. There are 9,988 prime knots with crossing number 13. Among them 4,878…