PRIME KNOTS WHOSE ARC INDEX IS SMALLER THAN THE CROSSING NUMBER

DOI10.1142/S0218216512501039zbMath1250.57012arXiv1106.2723OpenAlexW2127641111MaRDI QIDQ2909507

Gyo Taek Jin, Hwa Jeong Lee

Publication date: 30 August 2012

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

Full work available at URL: https://arxiv.org/abs/1106.2723

zbMATH Keywords

knotlinkKauffman polynomialgrid diagramarc presentationminimal crossing numberarc indexfiltered tree

Mathematics Subject Classification ID

Related Items (2)

Minimal grid diagrams of the prime alternating knots with 12 crossings ⋮ Minimal grid diagrams of 11 crossing prime alternating knots

Cites Work

• 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
• A TABULATION OF PRIME KNOTS UP TO ARC INDEX 11
• ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER
• 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

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