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Flat \({\delta}\)-vectors and their Ehrhart polynomials

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Publication:515523
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DOI10.1007/s00013-016-0985-0zbMath1359.52013arXiv1604.02505OpenAlexW2336892109MaRDI QIDQ515523

Takayuki Hibi, Akiyoshi Tsuchiya

Publication date: 16 March 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02505

zbMATH Keywords

Ehrhart polynomialintegral convex polytope\({\delta}\)-vector


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)


Related Items

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Cites Work

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  • Counterexamples of the conjecture on roots of Ehrhart polynomials
  • On the Hilbert function of a graded Cohen-Macaulay domain
  • Polynômes arithmétiques et méthode des polyedres en combinatoire
  • A lower bound theorem for Ehrhart polynomials of convex polytopes
  • Inequalities and Ehrhart $\delta $-vectors
  • Computing the Continuous Discretely
  • Decompositions of Rational Convex Polytopes
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