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math.GN2019
Invariants of rational links represented by reduced alternating diagrams
Yuanan Diao, Claus Ernst, Gabor Hetyei
A rational link may be represented by any of the (infinitely) many link diagrams corresponding to various continued fraction expansions of the same rational number. The continued f…
math.GT2019
Braid Index Bounds Ropelength From Below
Yuanan Diao
For an un-oriented link , let be the ropelength of . It is known that when has more than one component, different orientati…
math.GT2019★ 5 cited
A Diagrammatic Approach for Determining the Braid Index of Alternating Links
Yuanan Diao, Claus Ernst, Gabor Hetyei +1
It is well known that the braid index of a link equals the minimum number of Seifert circles among all link diagrams representing it. For a link with a reduced alternating diagram…