5-colored knot diagram with four colors
Satoh, Shin
Osaka J. Math., Tome 46 (2009) no. 1, p. 939-948 / Harvested from Project Euclid
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We study Fox 5-colorings for diagrams of 1- and 2-dimensional knots. We prove that any 5-colorable 1-knot has a non-trivially 5-colored diagram such that exactly four colors of five are assigned to the arcs of the diagram. Moreover, we prove that there is a 5-colorable 2-knot such that, for any non-trivially 5-colored diagram, all five colors are assigned to the sheets of the diagram.
Publié le : 2009-12-15
Classification:  57M25,  57Q45 
@article{1260892835,
     author = {Satoh, Shin},
     title = {5-colored knot diagram with four colors},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 939-948},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1260892835}
}

Satoh, Shin. 5-colored knot diagram with four colors. Osaka J. Math., Tome 46 (2009) no. 1, pp.  939-948. http://gdmltest.u-ga.fr/item/1260892835/