[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2011.48.2.367

HEPTAGONAL KNOTS AND RADON PARTITIONS

Huh, Young-Sik (DEPARTMENT OF MATHEMATICS COLLEGE OF NATURAL SCIENCES HANYANG UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.48, no.2, 2011 , pp. 367-382 More about this Journal

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 $\mathbb{R}^3$ .

Keywords

polygonal knot; gure-eight knot; complete graph; linear embedding;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

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