Smooth polytopes with negative Ehrhart coefficients

Article Properties
Journal Category
Science
Mathematics
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
Higher integrality conditions, volumes and Ehrhart polynomials Advances in Mathematics
  • Science: Mathematics
 3 2011
Local Euler–Maclaurin Formula for Polytopes Moscow Mathematical Journal
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 25 2007
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron Discrete & Computational Geometry
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 65 2002
Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes Proceedings of the London Mathematical Society
  • Science: Mathematics
 96 1977
Permutohedra, Associahedra, and Beyond International Mathematics Research Notices
  • Science: Mathematics
 260 2009
Citations
Title Journal Journal Categories Citations Publication Date
Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity Mathematika
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2 2022
On the Todd class of the permutohedral variety Algebraic Combinatorics
  • Science: Mathematics
  • Science: Mathematics
 4 2021
Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP Annals of Combinatorics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2019
On the Relationship Between Ehrhart Unimodality and Ehrhart Positivity Annals of Combinatorics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2019
Stanley's non-Ehrhart-positive order polytopes Advances in Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 3 2019
Citations Analysis
Category Category Repetition
Science: Mathematics5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
The category Science: Mathematics 5 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 2022 study titled Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity. This article reached its peak citation in 2019, with 3 citations. It has been cited in 4 different journals, 25% of which are open access. Among related journals, the Annals of Combinatorics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year