Many, many more intrinsically knotted graphs

Abstract

We list more than 200 new examples of minor minimal intrinsically knotted graphs and describe many more that are intrinsically knotted and likely minor minimal.

19 pages, 16 figures, Appendix

References in corpus (2)

• On intrinsically knotted or completely 3-linked graphs
• Graphs of 20 edges are 2-apex, hence unknotted

Cited by in corpus (8)

• Defective colouring of graphs excluding a subgraph or minor
• Graphs on 21 edges that are not 2--apex
• Tree densities in sparse graph classes
• Maximal knotless graphs
• Intrinsically knotted graphs with linklessly embeddable simple minors
• Constructions stemming from non-separating planar graphs and their Colin de Verdière invariant
• Complete Minors in Complements of Non-Separating Planar Graphs
• Family sizes for complete multipartite graphs