Upper bounds for the number of facets of a simplicial complex

DOI10.1090/S0002-9939-97-03704-0zbMath0865.05072OpenAlexW1574661713MaRDI QIDQ4336625

Takayuki Hibi, Jürgen Herzog

Publication date: 13 May 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03704-0

zbMATH Keywords

simplicial complexespolynomial ringHilbert functiongraded ringsgraded idealnumber of facetsannihilator ideals

Mathematics Subject Classification ID

Extremal set theory (05D05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

Gotzmann theorems for exterior algebras and combinatorics ⋮ On the notion of sequentially Cohen-Macaulay modules ⋮ Simplicial complexes and Macaulay's inverse systems

Cites Work

• New constructive methods in classical ideal theory
• Squarefree lexsegment ideals
• A generalization of a combinatorial theorem of macaulay
• Combinatorics and commutative algebra
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