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HEPTAGONAL KNOTS AND RADON PARTITIONS

허영식
대한수학회 (The Korean Mathematical Society)|2011.03|대한수학회지 (Journal of the KMS)|제48권 제2호|pp. 367-382

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참고문헌

키워드

complete graphpolygonal knotfigure-eight knotlinear embedding
주제분류수학

초록

We establish a necessary and sufficient condition for a hep-tagonal knot to be gure-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.

Abstract

We establish a necessary and sufficient condition for a hep-tagonal knot to be gure-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.

참고문헌 (16)

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