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math.GT2012★ 1 cited
On the number of links in a linearly embedded
Ramin Naimi, Elena Pavelescu
We show there exists a linear embedding of with n nontrivial 2-component links if and only if n = 1, 2, 3, 4, or 5.
math.GT2012★ 3 cited
Linear embeddings of are triple linked
Ramin Naimi, Elena Pavelescu
We use the theory of oriented matroids to show that any linear embedding of , the complete graph on nine vertices, contains a non-split link with three components.