Upper Bounds for Ropelength as a Function of Crossing Number

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dc.creatorCantarella, Jason
dc.creatorFaber, X. W.
dc.creatorMullikin, Chad A.
dc.date2002-10-16
dc.date2002-10-16
dc.date.accessioned2026-07-07T04:52:01Z
dc.date.available2026-07-07T04:52:01Z
dc.descriptionThe 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.
dc.description11 pages, 14 figures. Replacement corrects EPS font problem in figure
dc.identifierhttps://arxiv.org/abs/math/0210245
dc.identifierhttp://arxiv.org/abs/math/0210245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65315
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject49Q10
dc.titleUpper Bounds for Ropelength as a Function of Crossing Number
dc.typetext

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