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초록
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.
키워드
polygonal knot; figure-eight knot; complete graph; linear embedding; LINKS
- 제목
- HEPTAGONAL KNOTS AND RADON PARTITIONS
- 저자
- Huh, Youngsik
- 발행일
- 2011-03
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 48
- 호
- 2
- 페이지
- 367 ~ 382