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Exactly fourteen intrinsically knotted graphs have 21 edges

Authors
Lee, MinjungKim, HyoungjunLee, Hwa JeongOh, Seungsang
Issue Date
2015
Publisher
GEOMETRY & TOPOLOGY PUBLICATIONS
Citation
ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.15, no.6, pp.3305 - 3322
Indexed
SCIE
SCOPUS
Journal Title
ALGEBRAIC AND GEOMETRIC TOPOLOGY
Volume
15
Number
6
Start Page
3305
End Page
3322
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/96228
DOI
10.2140/agt.2015.15.3305
ISSN
1472-2747
Abstract
Johnson, Kidwell, and Michael showed that intrinsically knotted graphs have at least 21 edges. Also it is known that K-7 and the thirteen graphs obtained from K-7 by del Y moves are intrinsically knotted graphs with 21 edges. We prove that these 14 graphs are the only intrinsically knotted graphs with 21 edges.
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