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A newly recognized intrinsically knotted graph

✍ Scribed by Joel Foisy

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 113 KB
Volume: 43
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.10114

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In [Adams, 1994; The Knot Book], Colin Adams states as an open question whether removing a vertex and all edges incident to that vertex from an intrinsically knotted graph must yield an intrinsically linked graph. In this paper, we exhibit an intrinsically knotted graph for which there is a vertex that can be removed, and the resulting graph is not intrinsically linked. We further show that this graph is minor minimal with respect to being intrinsically knotted. © 2003 Wiley Periodicals, Inc. J Graph Theory 43: 199–209, 2003

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