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Knots with small lattice stick numbers
- Authors
- Huh, Youngsik; Oh, Seungsang
- Issue Date
- Jul-2010
- Publisher
- IOP PUBLISHING LTD
- Citation
- JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.43, no.26, pp.1 - 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- Volume
- 43
- Number
- 26
- Start Page
- 1
- End Page
- 8
- ISSN
- 1751-8113
- Abstract
- The lattice stick number of a knot type is defined to be the minimal number of straight line segments required to construct a polygon presentation of the knot type in the cubic lattice. In this paper, we mathematically prove that the trefoil knot 3(1) and in figure 8 knot 4(1) are the only knot types of lattice stick number less than 15, which verifies the result from previous numerical estimations on this quantity.
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Related Researcher
- Huh, Young sik
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)