Abstract

An algorithm that produces polygonal cable links is described, and applications discussed. In particular, the stick numbers of Tp,q torus links are shown to be 4p for 2p < q ≤ 3p, and it is shown that, in general, [Formula: see text]. Further, it is shown that the Ramsey number of a link is at least the sum of its arc index and bridge number. Using these results, we relate the Ramsey, stick and crossing numbers of torus links, showing [Formula: see text].

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