6 citations · 11 across the 7 of their papers we have counts for
7 papers
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…
Knots with equal bridge index and braid index
Yuanan Diao, Claus Ernst, Philipp Reiter
In this paper we are interested in BB knots, namely knots and links where the bridge index equals the braid index. Supported by observations from experiments, it is conjectured tha…
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…
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…
Nullification of knots and links
Yuanan Diao, Claus Ernst, Anthony Montemayor
In this paper, we study a geometric/topological measure of knots and links called the nullification number. The nullification of knots/links is believed to be biologically relevant…