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Computing the girth of knots
Authors:A Stoimenow
Institution:(1) Department of Mathematics, Keimyung University, Dalseo-Gu, Sindang-Dong 1000, Daegu, 704-701, Korea
Abstract:We introduce a method to compute the girth of knots, defined by Hernández and Lin, using the Jones and Brandt-Lickorish-Millett-Ho polynomial. We determine the girth of all knots up to 10 crossings.
Keywords:Knot  Jones polynomial  Brandt Lickorish-Millett-Ho polynomial  double branched cover  Heegaard genus  planar graph  spanning tree
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