Berline–Vergne Valuation and Generalized Permutohedra
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2017/11/13
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Indian UGC (journal)
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Refrences23
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Citations13
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Federico Castillo
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Fu Liu ORCID (unauthenticated)
Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Technology
Engineering (General)
Civil engineering (General)
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Matroid Polytopes and their Volumes | Discrete & Computational Geometry |
| 33 | 2010 |
| Permutohedra, Associahedra, and Beyond | International Mathematics Research Notices |
| 260 | 2009 |
| Ehrhart Polynomials of Matroid Polytopes and Polymatroids | Discrete & Computational Geometry |
| 16 | 2009 |
| The equivariant Todd genus of a complete toric variety, with Danilov condition | Journal of Algebra |
| 6 | 2007 |
| Local Euler–Maclaurin Formula for Polytopes | Moscow Mathematical Journal |
| 25 | 2007 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Lattice points in slices of prisms | Canadian Journal of Mathematics |
| 2024 | |
| On the Ehrhart Polynomial of Schubert Matroids | Discrete & Computational Geometry |
| 1 | 2023 |
Ehrhart theory of paving and panhandle matroids | Advances in Geometry |
| 2 | 2023 |
Ehrhart Positivity of Tesler Polytopes and Berline–Vergne’s Valuation | Discrete & Computational Geometry |
| 2022 | |
| Ehrhart polynomials of rank two matroids | Advances in Applied Mathematics |
| 5 | 2022 |
Citations Analysis
The category
Science: Mathematics 13
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the Relationship Between Ehrhart Unimodality and Ehrhart Positivity and was published in 2019. The most recent citation comes from a 2024 study titled Lattice points in slices of prisms. This article reached its peak citation in 2021, with 5 citations. It has been cited in 10 different journals, 10% of which are open access. Among related journals, the Discrete & Computational Geometry cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.