Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 15, Number 6 (2015), 3305-3322.
Exactly fourteen intrinsically knotted graphs have $21$ edges
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.
Algebr. Geom. Topol., Volume 15, Number 6 (2015), 3305-3322.
Received: 9 June 2014
Revised: 13 March 2015
Accepted: 24 March 2015
First available in Project Euclid: 16 November 2017
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Lee, Minjung; Kim, Hyoungjun; Lee, Hwa Jeong; Oh, Seungsang. Exactly fourteen intrinsically knotted graphs have $21$ edges. Algebr. Geom. Topol. 15 (2015), no. 6, 3305--3322. doi:10.2140/agt.2015.15.3305. https://projecteuclid.org/euclid.agt/1510841068