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Nullification numbers of knots with up to 10 crossings

Claus Ernst

Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101, USA

E-mail Address: claus.ernst@wku.edu

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and

Anthony Montemayor

Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101, USA

E-mail Address: anthony.montemayor477@topper.wku.edu

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https://doi.org/10.1142/S0218216516500371Cited by:1 (Source: Crossref)

Abstract

In this paper, we consider the nullification numbers $n_{i} (L)$ of the 249 prime knots up to 10 crossings to an unlink with $i$ components. This extends an existing table of knot nullification numbers up to nine crossings in [C. Ernst, A. Montemayor and A. Stasiak, Nullification of small knots, Prog. Theor. Phys. Suppl.191 (2011) 66–77].

Keywords:

AMSC: 57M25

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