Any knot is inevitable in a regular projection of a planar graph
type: Item
instance of: scholarly article
title: Any knot is inevitable in a regular projection of a planar graph
zbMATH Open document ID: 0914.05020
author: Tatsuya Tsukamoto
published in: Journal of Combinatorial Theory. Series B
publication date: 1998-01-01T00:00:00Z
review text: We show a Ramsey-type theorem for a regular projection of a planar graph. For any knot type, there exist a planar graph and its regular projection with the following property: The prescribed knot type can be obtained from the regular projection by giving any over/under information at each double point.
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 1234258
zbMATH Keywords: spatial graph
zbMATH Keywords: knotted graph
zbMATH Keywords: Ramsey-type theorem
zbMATH Keywords: regular projection
zbMATH Keywords: planar graph
zbMATH Keywords: knot
MaRDI profile type: Publication
full work available at URL: jctb.1997.1805
OpenAlex ID: W1966573961
cites work: Knots
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cites work: Topological Ramsey theorem for complete bipartite graphs
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cites work: Sachs' linkless embedding conjecture
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cites work: KNOT-INEVITABLE PROJECTIONS OF PLANAR GRAPHS
DOI: 10.1006/JCTB.1997.1805
description: scientific article; zbMATH DE number 1234258