Unknots and molecular biology

Kauffman, LH; Lambropoulou, S

dc.contributor.author	Kauffman, LH	en
dc.contributor.author	Lambropoulou, S	en
dc.date.accessioned	2014-03-01T01:25:27Z
dc.date.available	2014-03-01T01:25:27Z
dc.date.issued	2006	en
dc.identifier.issn	14249286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17671
dc.subject	Continued fraction	en
dc.subject	Convergent	en
dc.subject	DNA	en
dc.subject	Hard unknot	en
dc.subject	Knot	en
dc.subject	Link	en
dc.subject	Rational knot	en
dc.subject	Rational tangle	en
dc.subject	Recombination	en
dc.subject	Reidemeister move	en
dc.subject	Tangle	en
dc.subject	Tangle fraction	en
dc.title	Unknots and molecular biology	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00032-006-0063-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00032-006-0063-3	en
heal.publicationDate	2006	en
heal.abstract	This article shows that an unknot is obtained as the numerator closure of the sum of two rational tangles, whose respective fractions are P/Q and R/S, if and only if PS - QR = ±1. This result is used to construct many examples of unknotted diagrams, including ""hard"" unknot diagrams that require non-simplifying Reidemeister moves in order to be unknotted. The paper then discusses minimal hard unknots and the applications of these results to DNA recombination. © Birkhäuser Verlag, Basel 2006.	en
heal.journalName	Milan Journal of Mathematics	en
dc.identifier.doi	10.1007/s00032-006-0063-3	en
dc.identifier.volume	74	en
dc.identifier.issue	1	en
dc.identifier.spage	227	en
dc.identifier.epage	263	en