title: [DNA knots and strong triviality].
abstract: A circle embedded in 3-space without self-intersection is called a knot. A knot is a mathematical object according to topology. Knot theory studies how complicated a given knot is, or whether it is trivial. Any knot can be represented by a diagram with above and below information at the crossings. Then a knot obtained by replacing the information at one crossing is generally another knot. This operation is called a crossing change. A crossing change is an important notion in knot theory. In this article, we survey the strong triviality of knots, which is one of the multi-crossing changes.
authors.affiliation: Department of Mathematics, School of Medicine, University of Occupational and Environmental Health, Japan, Yahatanishi-ku, Kitakyushu 807-8555, Japan.
authors.forename: Ichiro
authors.initials: I
authors.lastname: Torisu
mesh_terms: D004247:DNA; D008958:Models, Molecular; D008962:Models, Theoretical; D009690:Nucleic Acid Conformation
chemical_list: D004247:DNA