Triple-crossing projections, moves on knots and links and their minimal diagrams

DOI10.1142/S0218216520500157zbMath1444.57003arXiv1908.11751MaRDI QIDQ5111672

Łukasz Trojanowski, Michał Jabłonowski

Publication date: 27 May 2020

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

Full work available at URL: https://arxiv.org/abs/1908.11751

zbMATH Keywords

knot projectionsminimal triple-crossing numbertriple-crossing diagrammoves on diagrams of knots and links

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Planar graphs; geometric and topological aspects of graph theory (05C10) Knot theory (57K10)

Related Items (3)

Strict inequalities for the n-crossing number ⋮ Tabulation of knots up to five triple-crossings and moves between oriented diagrams ⋮ Triple-crossing number, the genus of a knot or link and torus knots

Uses Software

• Knot Atlas

Cites Work

• On the Vassiliev knot invariants
• Counting rooted maps by genus. I
• Multi-crossing number for knots and the Kauffman bracket polynomial
• Triple crossing number and double crossing braid index
• TRIPLE CROSSING NUMBER OF KNOTS AND LINKS
• Triple-crossing number and moves on triple-crossing link diagrams
• Minimal hard surface-unlink and classical unlink diagrams
• Links and Planar Diagram Codes

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