Product formulas for volumes of flow polytopes

DOI10.1090/S0002-9939-2014-12182-4zbMath1310.51024OpenAlexW2949524058MaRDI QIDQ5496431

Karola Mészáros

Publication date: 2 February 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12182-4

zbMATH Keywords

volumetriangulationtriangular arraysChan-Robbins-Yuen polytopeKostant partition functionflow polytope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Combinatorial aspects of representation theory (05E10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25)

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Cites Work

• Kostant partitions functions and flow polytopes
• Proof of a conjecture of Chan, Robbins, and Yuen
• A polytope related to empirical distributions, plane trees, parking functions, and the associahedron
• Root polytopes, triangulations, and the subdivision algebra. I
• Root polytopes, triangulations, and the subdivision algebra, II
• On the Volume of a Certain Polytope
• Flow Polytopes of Signed Graphs and the Kostant Partition Function
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