11 citations · 57 across the 33 of their papers we have counts for
36 papers
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 toric g-vector of nestohedra
Richard Ehrenborg, Gábor Hetyei, Margaret Readdy
We show the entries of the toric g-vector of any dual simplicial polytope is a nonnegative integer linear combination of its gamma-vector entries. We give combinatorial interpretat…
On the structure of the d-indivisible noncrossing partition posets
Richard Ehrenborg, Gábor Hetyei
We study the poset of d-indivisible noncrossing partitions introduced by Mühle, Nadeau and Williams. These are noncrossing partitions such that each block and each dual block has c…
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…
Labeling regions in deformations of graphical arrangements
Gábor Hetyei
Combining Carver's variant of the Farkas' lemma with the Flow Decomposition Theorem we show that the regions of any deformation of a graphical arrangement may be bijectively labele…