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Exactly fourteen
intrinsically knotted graphs have $21$ edges
Minjung Lee, Hyoungjun Kim, Hwa Jeong Lee and Seungsang Oh |
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Algebraic & Geometric Topology 15 (2015) 3305–3322
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Abstract |
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Johnson, Kidwell, and Michael showed that intrinsically knotted graphs have at least edges. Also it is known that and the thirteen graphs obtained from by moves are intrinsically knotted graphs with edges. We prove that these 14 graphs are the only intrinsically knotted graphs with edges. |
Keywords
intrinsically knotted, graph
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Mathematical Subject Classification 2010
Primary: 57M25, 57M27
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References |
Publication
Received: 9 June 2014
Revised: 13 March 2015
Accepted: 24 March 2015
Published: 12 January 2016
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Authors |
| Minjung Lee | |
| Department of Mathematics Korea University Anam-dong Sungbuk-ku Seoul 136-701 South Korea |
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| Hyoungjun Kim | |
| Department of Mathematics Korea University Anam-dong Sungbuk-ku Seoul 136-701 South Korea |
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| Hwa Jeong Lee | |
| Department of Mathematical
Sciences KAIST 291 Daehak-ro Yuseong-gu Daejeon 305-701 South Korea |
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| Seungsang Oh | |
| Department of Mathematics Korea University Anam-dong Sungbuk-ku Seoul 136-701 South Korea |
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