A family of polygonal knots K, on the cubical lattice is constructed with the property that the quotient of length L(Kn) over the crossing number Cr(Kn) approaches zero as L approaches infinity. More precisely Cr(K,) = 0(L(Kn)4/3). It is shown that this construction is optimal in the sense that for
The number of smallest knots on the cubic lattice
โ Scribed by Yuanan Diao
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 270 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0022-4715
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