English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this paper we use continued fractions to study a partial order on the setof 2-bridge knots derived from the work of Ohtsuki, Riley, and Sakuma. Weestablish necessary and sufficient conditions for any set of 2-bridge knots tohave an upper bound with respect to the partial order. Moreover, given any2-bridge knot K we characterize all other 2-bridge knots J such that {K, J} hasan upper bound. As an application we answer a question of Suzuki, showing thatthere is no upper bound for the set consisting of the trefoil and figure-eightknots.

Upper bounds in the Ohtsuki-Riley-Sakuma partial order on 2-bridge knots