✦ LIBER ✦

Knots and links in spatial graphs

✍ Scribed by J. H. Conway; C. McA. Gordon

Publisher: John Wiley and Sons
Year: 1983
Tongue: English
Weight: 328 KB
Volume: 7
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190070410

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The main purpose of this paper is to show that any embedding of K~7~ in three‐dimensional euclidean space contains a knotted cycle. By a similar but simpler argument, it is also shown that any embedding of K~6~ contains a pair of disjoint cycles which are homologically linked.

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