Notes for AKT-170117-2/0:13:00: Difference between revisions
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{{Roland}} At 13:18 there is the statement that the width of a knot diagram is <math>\mathcal{O}(\sqrt{n})</math> where n is the number of crossings. I think this is a consequence of the more general planar-graph result called the Planar Separator Theorem: |
{{Roland}} At 13:18 there is the statement that the width of a knot diagram is <math>\mathcal{O}(\sqrt{n})</math> where n is the number of crossings. I think this is a consequence of the more general planar-graph result called the Planar Separator Theorem, or rather the edge version: |
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https://en.wikipedia.org/wiki/Planar_separator_theorem |
https://en.wikipedia.org/wiki/Planar_separator_theorem |
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Here's a link to the relevant article: |
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http://www.sciencedirect.com/science/article/pii/S0196677483710138?via%3Dihub |
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Revision as of 18:48, 17 January 2017
Roland At 13:18 there is the statement that the width of a knot diagram is where n is the number of crossings. I think this is a consequence of the more general planar-graph result called the Planar Separator Theorem, or rather the edge version: https://en.wikipedia.org/wiki/Planar_separator_theorem Here's a link to the relevant article: http://www.sciencedirect.com/science/article/pii/S0196677483710138?via%3Dihub
