A TABULATION OF PRIME KNOTS UP TO ARC INDEX 11

DOI10.1142/S021821651100942XzbMath1270.57025arXiv1010.2916OpenAlexW2963138376MaRDI QIDQ3110909

Wang Keun Park, Gyo Taek Jin

Publication date: 17 January 2012

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2916

zbMATH Keywords

knotgrid diagramarc presentationarc indexcromwell matrix

Mathematics Subject Classification ID

Related Items (4)

PRIME KNOTS WHOSE ARC INDEX IS SMALLER THAN THE CROSSING NUMBER ⋮ Prime knots with arc index 12 up to 16 crossings ⋮ On the arc index of Kanenobu knots ⋮ Minimal grid diagrams of 11 crossing prime alternating knots

Cites Work

• The first 1,701,936 knots
• Embedding knots and links in an open book. I: Basic properties
• PRIME KNOTS WITH ARC INDEX UP TO 11 AND AN UPPER BOUND OF ARC INDEX FOR NON-ALTERNATING KNOTS
• Links in an open book decomposition and in the standard contact structure
• Embedding knots and links in an open book III. On the braid index of satellite links
• ARC Index and the Kauffman Polynomial
• ARC INDEX OF NON-ALTERNATING LINKS
• An upper bound of arc index of links
• Embedding knots and links in an open book II. Bounds on arc index

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