Counting integer points in polytopes associated with directed graphs

DOI10.1016/j.aam.2016.04.008zbMath1336.05007OpenAlexW2346823476WikidataQ59196568 ScholiaQ59196568MaRDI QIDQ288998

Ilse Fischer

Publication date: 27 May 2016

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2016.04.008

zbMATH Keywords

order polytopesEhrhart theoryGelfand-Tsetlin patternsinteger points in polytopes

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Polytopes and polyhedra (52B99) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes
• On some polynomials enumerating fully packed loop configurations
• Two poset polytopes
• Representations of polytopes and polyhedral sets
• The Number of Solutions to Linear Diophantine Equations and Multivariate Splines
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