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ON 2-ADJACENCY RELATION OF TWO-BRIDGE KNOTS AND LINKS
Published online by Cambridge University Press: 01 February 2008
Abstract
We give a necessary condition for a two-bridge knot or link S(p,q) to be 2-adjacent to another two-bridge knot or link S(r,s). In particular, we show that if the trivial knot or link is 2-adjacent to S(p,q), then S(p,q) is trivial, that if S(p,q) is 2-adjacent to its mirror image, then S(p,q) is amphicheiral, and that for a prime integer p, if S(p,q) is 2-adjacent to S(r,s), then S(p,q)=S(r,s) or S(r,s)=S(1,0).
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 84 , Issue 1 , February 2008 , pp. 139 - 144
- Copyright
- Copyright © 2008 Australian Mathematical Society
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