On the classification of rational tangles

Kauffman, LH; Lambropoulou, S

dc.contributor.author	Kauffman, LH	en
dc.contributor.author	Lambropoulou, S	en
dc.date.accessioned	2014-03-01T01:21:10Z
dc.date.available	2014-03-01T01:21:10Z
dc.date.issued	2004	en
dc.identifier.issn	0196-8858	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16106
dc.subject	Alternating knots and links	en
dc.subject	Coloring	en
dc.subject	Continued fraction	en
dc.subject	Flype	en
dc.subject	Isotopy	en
dc.subject	Knot	en
dc.subject	Rational tangle	en
dc.subject	Tangle	en
dc.subject	Tangle fraction	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	ALTERNATING LINKS	en
dc.subject.other	KNOTS	en
dc.subject.other	GRAPHS	en
dc.subject.other	CHAINS	en
dc.subject.other	DNA	en
dc.title	On the classification of rational tangles	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.aam.2003.06.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.aam.2003.06.002	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper we give two new combinatorial proofs of the classification of rational tangles using the calculus of continued fractions. One proof uses the classification of alternating knots. The other proof uses colorings of tangles. We also obtain an elementary proof that alternating rational tangles have minimal number of crossings. Rational tangles form a basis for the classification of knots and are of fundamental importance in the study of DNA recombination. (C) 2003 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Advances in Applied Mathematics	en
dc.identifier.doi	10.1016/j.aam.2003.06.002	en
dc.identifier.isi	ISI:000222949000001	en
dc.identifier.volume	33	en
dc.identifier.issue	2	en
dc.identifier.spage	199	en
dc.identifier.epage	237	en