Examples relating to the crossing number, writhe, and maximal bridge length of knot diagrams

DOI10.1307/mmj/1049832889zbMath1030.57009OpenAlexW1997795318MaRDI QIDQ1396339

Mark E. Kidwell, Alexander Stoimenow

Publication date: 30 June 2003

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1049832889

zbMATH Keywords

knotlinkcrossing numberKauffman polynomialwritheBrandt-Lickorish-Millett-Ho polynomial

Mathematics Subject Classification ID

Related Items (2)

On knot polynomials of annular surfaces and their boundary links ⋮ On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks

Uses Software

• Knotscape

Cites Work

• Classification of knot projections
• A polynomial invariant for unoriented knots and links
• On the Kauffman polynomial of an adequate link
• Kauffman's polynomial and alternating links
• The first 1,701,936 knots
• An operator on regular isotopy invariants of link diagrams
• The crossing number and maximal bridge length of a knot diagram. With an appendix by Mark Kidwell.
• Seifert circles and knot polynomials
• On the Degree of the Brandt-Lickorish-Millett-Ho Polynomial of a Link
• An Invariant of Regular Isotopy
• Polynomials for Links
• On the Classification of Knots
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