On \(f\)- and \(h\)-vectors of relative simplicial complexes

DOI10.5802/alco.38zbMath1414.05319arXiv1711.02729OpenAlexW3100889865MaRDI QIDQ2421563

Raman Sanyal, Giulia Codenotti, Lukas Katthän

Publication date: 17 June 2019

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02729

zbMATH Keywords

\(f\)-vector\(h\)-vectorKruskal-Katona theoremHilbert functionsMacaulay theoremrelative simplicial complex

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

Partition and Cohen-Macaulay extenders ⋮ Shellable tilings on relative simplicial complexes and their \(h\)-vectors ⋮ Shellings from relative shellings, with an application to NP-completeness

Cites Work

• Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums
• The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem
• An extended Euler-Poincaré theorem
• Quotient algebras of Stanley-Reisner rings and local cohomology
• On \(f\)-vectors and relative homology
• Combinatorics and commutative algebra.
• A duality in Buchsbaum rings and triangulated manifolds
• A non-partitionable Cohen-Macaulay simplicial complex
• Face Numbers of Manifolds with Boundary
• Combinatorial Reciprocity Theorems
• Ideals, Varieties, and Algorithms
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