Gorenstein and Cohen–Macaulay matching complexes

DOI10.1142/s0219498823501463zbMath1517.13016arXiv2106.13993OpenAlexW3173246189MaRDI QIDQ6163890

Ashkan Nikseresht

Publication date: 30 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13993

zbMATH Keywords

Cohen-Macaulay ringGorenstein ringline graphmatching complexedge ideal

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)

Cites Work

• A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals
• Algebraic study on Cameron-Walker graphs
• Chordal and sequentially Cohen-Macaulay clutters
• Exact sequences for the homology of the matching complex
• Combinatorics and commutative algebra.
• Trung's construction and the Charney-Davis conjecture
• Chordality of clutters with vertex decomposable dual and ascent of clutters
• Topology of matching, chessboard, and general bounded degree graph complexes
• The graphs with maximum induced matching and maximum matching the same size
• Vertex decomposable graphs and obstructions to shellability
• An Optimal Algorithm to Detect a Line Graph and Output Its Root Graph
• A Characterization of Gorenstein Planar graphs
• Monomial Ideals
• Cohen-Macaulay edge ideal whose height is half of the number of vertices
• MANIFOLD MATCHING COMPLEXES
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