A characterization of two-dimensional Buchsbaum matching complexes

DOI10.37236/11196OpenAlexW3205905232MaRDI QIDQ2692175

Legrand II Jones, Bennet Goeckner, Rowan Rowlands, Fran Herr

Publication date: 21 March 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11302

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• Decompositions and connectivity of matching and chessboard complexes
• Torsion in the matching complex and chessboard complex
• Characterizations of Buchsbaum complexes
• On the number of faces of simplicial complexes and the purity of Frobenius
• Shellability of chessboard complexes
• Combinatorics and commutative algebra.
• Simplicial complexes of graphs
• Topology of matching, chessboard, and general bounded degree graph complexes
• MANIFOLD MATCHING COMPLEXES

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