On the minimum number of colors for knots

DOI10.1016/j.aam.2006.11.006zbMath1151.57008arXivmath/0512088OpenAlexW1988338990MaRDI QIDQ2474262

Pedro Lopes, Louis H. Kauffman

Publication date: 5 March 2008

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512088

zbMATH Keywords

knotscoloringscolorsTeneva transformations

Mathematics Subject Classification ID

Related Items (18)

The minimum number of coloring of knots ⋮ Any 11-Colorable knot can be colored with at most six colors ⋮ Kauffman–Harary conjecture for alternating virtual knots ⋮ MINIMUM NUMBER OF FOX COLORS FOR SMALL PRIMES ⋮ Minimal sufficient sets of colors and minimum number of colors ⋮ The palette numbers of torus knots ⋮ 7-colored 2-knot diagram with six 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 ⋮ Any 7-colorable knot can be colored by four colors ⋮ THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS ⋮ 11-Colored knot diagram with five colors ⋮ Removing colors 2k, 2k − 1, and k ⋮ The minimization of the number of colors is different at p = 11

Cites Work

• Unnamed Item
• Unnamed Item
• A classifying invariant of knots, the knot quandle
• Knots and graphs. I: Arc graphs and colorings
• On the classification of rational tangles
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• QUANDLES AT FINITE TEMPERATURES I
• QUANDLES AT FINITE TEMPERATURES II
• KAUFFMAN–HARARY CONJECTURE HOLDS FOR MONTESINOS KNOTS

This page was built for publication: On the minimum number of colors for knots