PRIME KNOTS WITH ARC INDEX UP TO 11 AND AN UPPER BOUND OF ARC INDEX FOR NON-ALTERNATING KNOTS

DOI10.1142/S0218216510008595zbMath1218.57007arXiv1010.3005OpenAlexW2124319365MaRDI QIDQ3074565

Gyo Taek Jin, Wang Keun Park

Publication date: 9 February 2011

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

Full work available at URL: https://arxiv.org/abs/1010.3005

zbMATH Keywords

knotlinkgrid diagramarc presentationarc indexCromwell matrixknot-spoke diagram

Mathematics Subject Classification ID

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Cites Work

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• Embedding knots and links in an open book. I: Basic properties
• 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 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