Triple-crossing number and moves on triple-crossing link diagrams

DOI10.1142/S0218216519400017zbMath1431.57001arXiv1706.09333OpenAlexW2967108156WikidataQ127369397 ScholiaQ127369397MaRDI QIDQ4973341

Jim Hoste, Martin Palmer, Colin C. Adams

Publication date: 3 December 2019

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

Full work available at URL: https://arxiv.org/abs/1706.09333

zbMATH Keywords

diagramknotlinkmulti-crossing numberdiagram movestriple-crossing

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (7)

A new bound on odd multicrossing numbers of knots and links ⋮ Strict inequalities for the n-crossing number ⋮ Virtual multicrossings and petal diagrams for virtual knots and links ⋮ Tabulation of knots up to five triple-crossings and moves between oriented diagrams ⋮ Triple-crossing projections, moves on knots and links and their minimal diagrams ⋮ Triple-crossing number, the genus of a knot or link and torus knots ⋮ Triple crossing number and double crossing braid index

Cites Work

• Minimal generating sets of Reidemeister moves
• Multi-crossing number for knots and the Kauffman bracket polynomial
• TRIPLE CROSSING NUMBER OF KNOTS AND LINKS
• Bounds on übercrossing and petal numbers for knots
• Knot projections with a single multi-crossing
• Quadruple crossing number of knots and links

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