The number of smallest knots on the cubic lattice |
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Authors: | Yuanan Diao |
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Institution: | (1) Department of Mathematics, Kennesaw State College, 30061 Marietta, Georgia |
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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. |
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Keywords: | Knots knotted polygons cubic lattice self-avoiding walks |
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