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The number of smallest knots on the cubic lattice
Authors:Yuanan Diao
Institution:(1) Department of Mathematics, Kennesaw State College, 30061 Marietta, Georgia
Abstract:It has been shown that the smallest knots on the cubic lattice are all trefoils of length 24. In this paper, we show that the number of such unrooted knots on the cubic lattice is 3496.
Keywords:Knots  knotted polygons  cubic lattice  self-avoiding walks
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