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Removing colors $2 k,$ $2 k - 1$ , and $k$

Pedro Lopes

Department of Mathematics, Center for Mathematical Analysis, Geometry, and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisbon, Portugal

E-mail Address: pelopes@math.tecnico.ulisboa.pt

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https://doi.org/10.1142/S0218216519400133Cited by:2 (Source: Crossref)

This article is part of the issue:

Special Issue: Knots, Low-Dimensional Topology and Applications — Part II

Abstract

This article concerns Fox colorings. We prove that if a link admits non-trivial $(2 k + 1)$ -colorings, with prime $2 k + 1 \geq 11$ , it also admits non-trivial $(2 k + 1)$ -colorings not involving colors $2 k, 2 k - 1$ , nor $k$ .

Keywords:

AMSC: 57M27

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