How the upper bound conjecture was proved

DOI10.1007/s00026-014-0238-5zbMath1408.05144OpenAlexW2029408589WikidataQ122941027 ScholiaQ122941027MaRDI QIDQ404545

Richard P. Stanley

Publication date: 4 September 2014

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-014-0238-5

zbMATH Keywords

Cohen-Macaulay ringface ringmagic squareupper-bound conjecture

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of commutative algebra (05E40)

Related Items (4)

Dimension filtration, sequential Cohen-Macaulayness and a new polynomial invariant of graded algebras ⋮ A non-partitionable Cohen-Macaulay simplicial complex ⋮ Hamiltonian paths, unit-interval complexes, and determinantal facet ideals ⋮ Unnamed Item

Cites Work

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• A combinatorial distribution problem
• Linear homogeneous Diophantine equations and magic labelings of graphs
• On the asymptotics of higher dimensional partitions
• Preferential Arrangements
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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