11 citations · 57 across the 33 of their papers we have counts for
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Generalized formulas for the Jones polynomial of a rational link
Yuanan Diao, Gábor Hetyei
We derive new formulas for the Jones polynomial and the Kauffman bracket polynomial of a rational link represented by a standard diagram that is not necessarily alternating. These…
The Braid Indices of Pretzel Links: A Comprehensive Study, Part II
Yuanan Diao, Claus Ernst, Gabor Hetyei
This paper is the second part of our comprehensive study on the braid index problem of pretzel links. Our ultimate goal is to completely determine the braid indices of all pretzel…
The Braid Indices of Pretzel Links: A Comprehensive Study, Part I
Yuanan Diao, Claus Ernst, Gabor Hetyei
The determination of the braid index of an oriented link is generally a hard problem. In the case of alternating links, some significant progresses have been made in recent years w…
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…
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…
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…