arXiv:1111.3333 [math.GT]AbstractReferencesReviewsResources
Minimal Degree Parameterizations of the Trefoil and Figure-Eight Knots
Published 2011-11-14Version 1
This paper determines the minimal degree sequence for two compact rational knots, namely the trefoil and figure-eight knots. We find explicit projections with the minimal degree sequence of each knot. This is done by modifying a non-compact rational minimal-degree parameterization of the trefoil and figure-eight knots to make it compact. This research was conducted at Ramapo College of New Jersey during the summer of 2011 with Dr. Donovan McFeron.
Categories: math.GT
Related articles:
Upper bounds in the Ohtsuki-Riley-Sakuma partial order on 2-bridge knots
arXiv:1501.02421 [math.GT] (Published 2015-01-11)
Minimal sufficient sets of colors and minimum number of colors
arXiv:2002.04103 [math.GT] (Published 2020-02-10)
$\operatorname{SL}(2,\mathbb{C})$ Floer Homology for surgeries on some knots