Any 11-Colorable knot can be colored with at most six colors

DOI10.1142/S021821651450062XzbMath1318.57003OpenAlexW2165675020MaRDI QIDQ2939933

Xian'an Jin, Nana Zhao, Wenfang (Wendy) Cheng

Publication date: 23 January 2015

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

Full work available at URL: https://doi.org/10.1142/s021821651450062x

zbMATH Keywords

knot coloringsknot diagramscombinatorial knot theory11-colorable knotminimum colors

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05)

Related Items (6)

The minimum number of coloring of knots ⋮ Minimal sufficient sets of colors and minimum number of colors ⋮ The minimum number of Fox colors modulo 13 is 5 ⋮ 11-Colored knot diagram with five colors ⋮ Removing colors 2k, 2k − 1, and k ⋮ The palette numbers of 2-bridge knots

Cites Work

• Knots and graphs. I: Arc graphs and colorings
• On the minimum number of colors for knots
• MINIMUM NUMBER OF FOX COLORS FOR SMALL PRIMES
• New Invariants in the Theory of Knots
• An Elementary Proof that the Borromean Rings are Non-Splittable
• QUANDLES AT FINITE TEMPERATURES I
• Metacyclic Invariants of Knots and Links
• Any 7-colorable knot can be colored by four colors

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