Root polytopes, triangulations, and the subdivision algebra, II

DOI10.1090/S0002-9947-2011-05371-7zbMath1233.05216arXiv0904.3339OpenAlexW2068235385MaRDI QIDQ3103249

Karola Mészáros

Publication date: 7 December 2011

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

Full work available at URL: https://arxiv.org/abs/0904.3339

zbMATH Keywords

volumetriangulationEhrhart polynomialroot polytopesubdivision algebrareduced formnoncommutative Gröbner basisbracket algebranoncrossing alternating graphtype \(C_{n}\)type \(D_{n}\)

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Length, area and volume in real or complex geometry (51M25) Associative rings and algebras arising under various constructions (16S99)

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Cites Work

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• Erratum to: T. Zaslavsky, signed graphs
• Orientation of signed graphs
• Dyck path enumeration
• Signed posets
• Root polytopes, triangulations, and the subdivision algebra. I
• Computing the Continuous Discretely
• Permutohedra, Associahedra, and Beyond
• Quotients of Coxeter complexes and 𝑃-partitions
• Decompositions of Rational Convex Polytopes