The combinatorics of interval vector polytopes

zbMath1295.52012arXiv1211.2039MaRDI QIDQ396835

Amanda Ruiz, Gabriel Dorfsman-Hopkins, Jessica De Silva, Matthias Beck, Joseph Pruitt

Publication date: 14 August 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2039

zbMATH Keywords

Catalan number\(f\)-vectorinterval vectorEhrhart polynomiallattice polytoperoot polytope

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) 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)

Uses Software

• polymake
• LattE

Cites Work

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• Polytopes related to interval vectors and incidence matrices
• Effective lattice point counting in rational convex polytopes
• Computing the Continuous Discretely
• Permutohedra, Associahedra, and Beyond
• Convex Polytopes
• A Primal Barvinok Algorithm Based on Irrational Decompositions