Minimizing the presentation of a knot group.
Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
Similarity:
S. Jablan, R. Sazdanovic (2003)
Visual Mathematics
Similarity:
Yasutaka Nakanishi (1996)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.
Hendricks, Jacob (2004)
Algebraic & Geometric Topology
Similarity:
Nafaa Chbili (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Mohamed Ait Nouh, Akira Yasuhara (2001)
Revista Matemática Complutense
Similarity:
We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisting.
Livingston, Charles (2003)
Geometry & Topology
Similarity:
Corinne Cerf (2002)
Visual Mathematics
Similarity:
Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Similarity:
Vaughan Jones, Józef Przytycki (1998)
Banach Center Publications
Similarity:
We show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2.