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

Wenfang Cheng

School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, P. R. China

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Xian'an Jin

School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, P. R. China

Corresponding author.

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, and

Nana Zhao

School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, P. R. China

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https://doi.org/10.1142/S021821651450062XCited by:6 (Source: Crossref)

Abstract

In this paper, we show that any 11-colorable knot has a diagram with a non-trivial 11-coloring such that at most six colors among eleven colors are assigned to arcs of the diagram.

Keywords:

AMSC: 57M27, 57M25

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