On Tunnel Number One Alternating Knots and Links

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概要

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• In this article we consider tunnel number one alternating knots and links. We characterize tunnel number one alternating knots and links which have unknotting tunnels contained in regions of reduced alternating diagrams. We show that such a knot or link is a $2$-bridge or a Montesinos knot or link or the connected sum of the Hopf link and a $2$-bridge knot.

• 東京大学の論文

著者

• Shimokawa Koya

  Graduate School Of Information Sciences Tohoku University

• Shimokawa Koya

  Graduate School Of Mathematical Sciences University Of Tokyo

関連論文

• On Tunnel Number One Alternating Knots and Links
• A Condition for a Graph in the Disc to Contain the Half Hemisphere of the Dodecahedron —Application to Dehn Surgery Theory—

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