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HEPTAGONAL KNOTS AND RADON PARTITIONS
- Authors
- Huh, Youngsik
- Issue Date
- Mar-2011
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- polygonal knot; figure-eight knot; complete graph; linear embedding
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.48, no.2, pp.367 - 382
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 48
- Number
- 2
- Start Page
- 367
- End Page
- 382
- ISSN
- 0304-9914
- Abstract
- We establish a necessary and sufficient condition for a heptagonal knot to be figure-8 knot. The condition is described by a set of Radon partitions formed by vertices of the heptagon. In addition we relate this result to the number of nontrivial heptagonal knots in linear embeddings of the complete graph K-7 into R-3.
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Related Researcher
- Huh, Young sik
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)