A large complete graph in a space contains a link with large link invariant

Minori Shirai; Kouki Taniyama

doi:10.1142/S0218216503002858

A large complete graph in a space contains a link with large link invariant

Minori Shirai^*, Kouki Taniyama

^*この研究の対応する著者

教育学部

研究成果: Article › 査読

2 被引用数 (Scopus)

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Let k be a non-negative integer. Then any embedding of the complete graph on 6 · 2^k vertices into a three-space contains a two-component link with the absolute value of its linking number greater than or equal to 2^k. Let j be a non-negative integer. Then any embedding of the complete graph on 48 · 2^k vertices into a three-space contains a knot with the absolute value of the second coefficient of its Conway polynomial greater than or equal to 2^2j.

本文言語	English
ページ（範囲）	915-919
ページ数	5
ジャーナル	Journal of Knot Theory and its Ramifications
巻	12
号	7
DOI	https://doi.org/10.1142/S0218216503002858
出版ステータス	Published - 2003 11月 1

ASJC Scopus subject areas

代数と数論

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KW - Intrinsic knotting

KW - Intrinsic linking

KW - Linking number

KW - Second coefficient of Conway polynomial

KW - Spatial graph

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A large complete graph in a space contains a link with large link invariant

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