Mathematics – Geometric Topology
Scientific paper
2007-01-15
Mathematics
Geometric Topology
16 pages, 4 figures
Scientific paper
We introduce new sufficient conditions for intrinsic knotting and linking. A graph on n vertices with at least 4n-9 edges is intrinsically linked. A graph on n vertices with at least 5n-14 edges is intrinsically knotted. We also 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.
Campbell John
Mattman Thomas W.
Ottman Ryan
Pyzer J.
Rodrigues Manuel
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