Abstract
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.
Citation
Minjung Lee. Hyoungjun Kim. Hwa Jeong Lee. Seungsang Oh. "Exactly fourteen intrinsically knotted graphs have $21$ edges." Algebr. Geom. Topol. 15 (6) 3305 - 3322, 2015. https://doi.org/10.2140/agt.2015.15.3305
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