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Unlinking numbers of links with crossing number 10

Authors: Bulai, Lavinia;

Unlinking numbers of links with crossing number 10

Abstract

In this paper we investigate the unlinking numbers of 10-crossing links. We make use of various link invariants and explore their behaviour when crossings are changed. The methods we describe have been used previously to compute unlinking numbers of links with crossing number at most 9. Ultimately, we find the unlinking numbers of all but 2 of the 287 prime, non-split links with crossing number 10.

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Keywords

Goeritz matrix, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, prime link, unlinking numbers, Mathematics - Geometric Topology, 57M27, 57M25, FOS: Mathematics, Knots and links in the \(3\)-sphere, nonsplit link

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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bronze