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Splitting Numbers of Links

Cha, Jae Choon, Friedl, Stefan and Powell, Mark (2017) Splitting Numbers of Links. Proceedings of the Edinburgh Mathematical Society 60 (03), pp. 587-614.

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Other URL: http://doi.org/10.1017/S0013091516000420


Abstract

The splitting number of a link is the minimal number of crossing changes between different components required, on any diagram, to convert it to a split link. We introduce new techniques to compute the splitting number, involving covering links and Alexander invariants. As an application, we completely determine the splitting numbers of links with nine or fewer crossings. Also, with these ...

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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Stefan Friedl
Identification Number:
ValueType
10.1017/S0013091516000420DOI
Keywords:UNLINKING; HOMOLOGY; splitting numbers of links; covering links; Alexander polynomial
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39319
Owner only: item control page
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