Upper Bounds for Ropelength as a Function of Crossing Number

Details Upper Bounds for Ropelength as a Function of Crossing Number Upper Bounds for Ropelength as a Function of Crossing Number

2002-10-16

arxiv.org/abs/math/0210245v2

Mathematics

Geometric Topology

11 pages, 14 figures. Replacement corrects EPS font problem in figure

Scientific paper

The paper provides bounds for the ropelength of a link in terms of the crossing numbers of its split components. As in earlier papers, the bounds grow with the square of the crossing number; however, the constant involved is a substantial improvement on previous results. The proof depends essentially on writing links in terms of their arc-presentations, and has as a key ingredient Bae and Park's theorem that an n-crossing link has an arc-presentation with less than or equal to n+2 arcs.

Affiliated with

Also associated with

No associations

Rating

Upper Bounds for Ropelength as a Function of Crossing Number does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Upper Bounds for Ropelength as a Function of Crossing Number, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upper Bounds for Ropelength as a Function of Crossing Number will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-569675