Regularity and projective dimension of edge ideals

DOI10.1080/00927872.2018.1459638zbMath1409.13031OpenAlexW2801779191MaRDI QIDQ4689814

Mengyao Sun

Publication date: 22 October 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2018.1459638

zbMATH Keywords

projective dimensionhypergraphsCastelnuovo-Mumford regularityedge idealsvertex decomposable graphs

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Results on the regularity of square-free monomial ideals
• Vertex-decomposable graphs, codismantlability, Cohen-Macaulayness, and Castelnuovo-Mumford regularity
• Matchings, coverings, and Castelnuovo-Mumford regularity
• Projective dimension, graph domination parameters, and independence complex homology
• Characteristic-independence of Betti numbers of graph ideals
• Vertex decomposable graphs and obstructions to shellability
• Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs
• Bounding the projective dimension of a squarefree monomial ideal via domination in clutters
• Unnamed Item

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