Johnson, Kidwell, and Michael showed that intrinsically knotted graphs have at least 21 edges. Also it is known that K7 and the thirteen graphs obtained from K7 by ∇Y moves are intrinsically knotted graphs with 21 edges. We prove that these 14 graphs are the only intrinsically knotted graphs with 21 edges.
|Number of pages||18|
|Journal||Algebraic and Geometric Topology|
|Publication status||Published - 2016 Jan 12|
ASJC Scopus subject areas
- Geometry and Topology