Intrinsic knotting and linking of almost complete partite graphs

Thomas W. Mattman; Ryan Ottman; Matt Rodrigues

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arXiv · math/0312176

Intrinsic knotting and linking of almost complete partite graphs

Thomas W. Mattman·Ryan Ottman·Matt Rodrigues

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Abstract

We classify graphs that are 0, 1, or 2 edges short of being complete partite graphs with respect to intrinsic linking and intrinsic knotting. In addition, we classify intrinsic knotting of graphs on 8 vertices. For graphs in these families, we verify a conjecture presented in Adams' "The Knot Book": If a vertex is removed from an intrinsically knotted graph, one obtains an intrinsically linked graph.

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BibTeX RIS

Thomas W. Mattman, Ryan Ottman, Matt Rodrigues. 2004-08-21. Intrinsic knotting and linking of almost complete partite graphs. https://arxiv.org/abs/math/0312176

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