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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…
math.GT2017★ 1 cited
The Braid Index Of Reduced Alternating Links
Yuanan Diao, Gábor Hetyei, Pengyu Liu
It is well known that the minimum crossing number of an alternating link equals the number of crossings in any reduced alternating link diagram of the link. This remarkable result…
math.GT2016
The HOMFLY Polynomial of Links in Closed Braid Form
Pengyu Liu, Yuanan Diao, Gábor Hetyei
It is well known that any link can be represented by the closure of a braid. The minimum number of strings needed in a braid whose closure represents a given link is called the bra…