Recognizing trivial links in polynomial time

Chad Musick

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arXiv · 1110.2871

Recognizing trivial links in polynomial time

Chad Musick

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Abstract

Trivial links are unique up to number of link components, but they can be hard to recognize from arbitrary diagrams. We define a new measure of the complexity of a link embedding, the crumple, and show how this may be used to measure progress toward a trivial embedding. In conjunction with a modified form of arc presentations of links, we obtain a strictly monotonic, deterministic algorithm that recognizes triviality in links within polynomial time and space.

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BibTeX RIS

Chad Musick. 2011-10-13. Recognizing trivial links in polynomial time. https://arxiv.org/abs/1110.2871

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