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THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS

MASAHICO SAITO

Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 33620, USA

https://doi.org/10.1142/S0218216510008480Cited by:13 (Source: Crossref)

Abstract

Relations will be described between the quandle cocycle invariant and the minimum number of colors used for non-trivial Fox colorings of knots and links. In particular, a lower bound for the minimum number is given in terms of the quandle cocycle invariant.

Keywords:

AMSC: 57M25

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