Any 7-colorable knot can be colored by four colors

DOI10.2969/JMSJ/06230963zbMath1202.57010OpenAlexW1982910797MaRDI QIDQ5962091

Kanako Oshiro

Publication date: 16 September 2010

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06230963

zbMATH Keywords

knotscolors7-coloringsknot coloringsribbon 2-knots

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)

Related Items (19)

The minimum number of coloring of knots ⋮ Any 11-Colorable knot can be colored with at most six colors ⋮ MINIMUM NUMBER OF FOX COLORS FOR SMALL PRIMES ⋮ Minimal sufficient sets of colors and minimum number of colors ⋮ An improvement of the lower bound for the minimum number of link colorings by quandles ⋮ The palette numbers of torus knots ⋮ On the minimum number of Fox Colorings of Knots ⋮ 7-colored 2-knot diagram with six colors ⋮ Linear Alexander quandle colorings and the minimum number of colors ⋮ The delunification process and minimal diagrams ⋮ THE TENEVA GAME ⋮ The 6- and 8-palette numbers of links ⋮ ON THE MAXIMUM NUMBER OF COLORS FOR LINKS ⋮ On effective 9-colorings for knots ⋮ The minimum number of Fox colors modulo 13 is 5 ⋮ THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS ⋮ Removing colors 2k, 2k − 1, and k ⋮ The palette numbers of 2-bridge knots ⋮ The minimization of the number of colors is different at p = 11

Cites Work

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• 5-colored knot diagram with four colors
• Knots and graphs. I: Arc graphs and colorings
• Virtual knot theory
• On the minimum number of colors for knots
• THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS
• VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS
• Metacyclic Invariants of Knots and Links

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