Counting Links and Knots in Complete Graphs

Loren Abrams; Blake Mellor; Lowell Trott

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arXiv · 1008.1085

Counting Links and Knots in Complete Graphs

Loren Abrams·Blake Mellor·Lowell Trott

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Abstract

We investigate the minimal number of links and knots in complete partite graphs. We provide exact values or bounds on the minimal number of links for all complete partite graphs with all but 4 vertices in one partition, or with 9 vertices in total. In particular, we find that the minimal number of links for $K_{4,4,1}$ is 74. We also provide exact values or bounds on the minimal number of knots for all complete partite graphs with 8 vertices.

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BibTeX RIS

Loren Abrams, Blake Mellor, Lowell Trott. 2010-08-05. Counting Links and Knots in Complete Graphs. https://arxiv.org/abs/1008.1085

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