抄録
We say that a graph is intrinsically knotted or completely 3-linked if every embedding of the graph into the 3-sphere contains a nontrivial knot or a 3-component link each of whose 2-component sublinks is nonsplittable. We show that a graph obtained from the complete graph on seven vertices by a finite sequence of ΔY-exchanges and YΔ-exchanges is a minor-minimal intrinsically knotted or completely 3-linked graph.
本文言語 | English |
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ページ(範囲) | 407-425 |
ページ数 | 19 |
ジャーナル | Pacific Journal of Mathematics |
巻 | 252 |
号 | 2 |
DOI | |
出版ステータス | Published - 2011 |
ASJC Scopus subject areas
- 数学 (全般)