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On the classification of rational tangles
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“According to [9] every rational tangle is isotopic to a rational tangle in the standard form T = ( a 1 , a 2 , . . . , a n ), where n is odd and all terms are positive or negative (except possibly the first term). Furthermore the standard form for a rational tangle is unique.”
From On the Structure of Hopf Algebras (1965) · cites this paper as [9]
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“The above limit exists and is finite. Furthermore to each irrational number, there corresponds a unique infinite standard continued fraction.”
From On the Structure of Hopf Algebras (1965) · cites this paper as [9]
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Research works printed but not linked: 37
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Cited by
Sorted by citations
On the Structure of Hopf Algebras
Milnor, J. W., & Moore, J. C. (1965) · The Annals of Mathematics · doi:10.2307/1970615 · Cited by 1,489
Metadata
- Authors
- Kauffman, L. H., & Lambropoulou, S.
- Affiliations
- University of Illinois Chicago (US)
- National Technical University of Athens (GR)
- Corresponding author
- Kauffman, Louis H
- Venue
- Advances in Applied Mathematics
- Publisher
- Elsevier BV
- Published
- 2004-08
- Volume
- 33
- Issue
- 2
- Pages
- 199-237
- ISSN
- 0196-8858 (ISSN-L)
- OpenAlex
- W2071754357
- Cited by
- 101
- References
- 0
- Citations by year
- 2026: 3 · 2025: 6 · 2024: 5 · 2023: 2 · 2022: 3 · 2021: 6 · 2020: 9 · 2019: 2 · 2018: 3 · 2017: 5 · 2016: 8 · 2015: 5 · 2014: 3 · 2013: 6 · 2012: 1
- FWCI
- 7.84
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Advances in Applied Mathematics (publishedVersion)
- DSpace - NTUA (National Technical University of Athens) (submittedVersion, other-oa)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Advanced Graph Theory Research
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Advanced Combinatorial Mathematics
- Keywords
- rational tangles, continued fractions, alternating knots, minimal crossing number, knot classification, DNA recombination
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