Boundary slope diameter and crossing number of 2-bridge knots

Thomas W. Mattman; Gabriel Maybrun; Kristin Robinson

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arXiv · math/0510496

Boundary slope diameter and crossing number of 2-bridge knots

Thomas W. Mattman·Gabriel Maybrun·Kristin Robinson

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Abstract

We prove that for 2-bridge knots, the diameter, D, of the set of boundary slopes is twice the crossing number, c. This constitutes partial verification of a conjecture that, for all knots in S^3, D is at most 2c.

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BibTeX RIS

Thomas W. Mattman, Gabriel Maybrun, Kristin Robinson. 2007-04-13. Boundary slope diameter and crossing number of 2-bridge knots. https://arxiv.org/abs/math/0510496

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