[HTML][HTML] Fourientations and the Tutte polynomial
A fourientation of a graph is a choice for each edge of the graph whether to orient that edge
in either direction, leave it unoriented, or biorient it. Fixing a total order on the edges and a …
in either direction, leave it unoriented, or biorient it. Fixing a total order on the edges and a …
[HTML][HTML] Between shi and ish
R Duarte, AG de Oliveira - Discrete Mathematics, 2018 - Elsevier
We introduce a new family of hyperplane arrangements in dimension n≥ 3 that includes
both the Shi arrangement and the Ish arrangement. We prove that all the members of a …
both the Shi arrangement and the Ish arrangement. We prove that all the members of a …
Some natural extensions of the parking space
M Konvalinka, V Tewari - Journal of Combinatorial Theory, Series A, 2021 - Elsevier
We construct a family of S n modules indexed by c∈{1,…, n} with the property that upon
restriction to S n− 1 they recover the classical parking function representation of Haiman …
restriction to S n− 1 they recover the classical parking function representation of Haiman …
Labeling regions in deformations of graphical arrangements
G Hetyei - arXiv preprint arXiv:2312.06513, 2023 - arxiv.org
Combining a 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 labeled …
that the regions of any deformation of a graphical arrangement may be bijectively labeled …
Pak-Stanley labeling of the m-Catalan hyperplane arrangement
R Duarte, AG de Oliveira - Advances in Mathematics, 2021 - Elsevier
Pak-Stanley labeling of the m-Catalan hyperplane arrangement - ScienceDirect Skip to main
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[HTML][HTML] Partial parking functions
R Duarte, AG de Oliveira - Discrete Mathematics, 2019 - Elsevier
Partial parking functions - ScienceDirect Skip to main contentSkip to article Elsevier logo
Journals & Books Search RegisterSign in View PDF Download full issue Search …
Journals & Books Search RegisterSign in View PDF Download full issue Search …
Generalized Pak-Stanley labeling for multigraphical hyperplane arrangements for n= 3
B Baker - 2019 - krex.k-state.edu
Pak-Stanley labeling was originally defined by Pak and Stanley in 1998 as a bijective map
from the set of regions of an extended Shi arrangement to the set of parking functions. Later …
from the set of regions of an extended Shi arrangement to the set of parking functions. Later …
Pak-stanley labeling for central graphical arrangements
The original Pak-Stanley labeling was defined by Pak and Stanley as a bijective map from
the set of regions of an extended Shi arrangement to the set of parking functions. This map …
the set of regions of an extended Shi arrangement to the set of parking functions. This map …
[图书][B] Generalized Pak-Stanley labeling for multigraphical hyperplane arrangements for n= 3
J Miller - 2021 - search.proquest.com
Abstract In 1998 Pak and Stanley defined the original Pak-Stanley labeling as a bijective
map from the set of regions of an extended Shi arrangement to the set of parking functions …
map from the set of regions of an extended Shi arrangement to the set of parking functions …
[图书][B] Hyperplane Arrangements over Finite Fields
S Cleofas - 2021 - search.proquest.com
Several results have been obtained for Hyperplane Arrangements in vector spaces over R.
Some of them are about regions and bounded regions of these arrangements, which are …
Some of them are about regions and bounded regions of these arrangements, which are …