Behaviors of pairs of dimensions and depths of edge ideals

DOI10.1080/00927872.2023.2186698zbMath1524.13054arXiv2301.04763OpenAlexW4324349805MaRDI QIDQ6100322

Unnamed Author, Unnamed Author, Akihiro Higashitani

Publication date: 22 June 2023

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

Full work available at URL: https://arxiv.org/abs/2301.04763

zbMATH Keywords

projective dimensiondimensiondepthedge ideals

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) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items

Comparing invariants of toric ideals of bipartite graphs

Cites Work

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• On rigid circuit graphs
• Induced matching numbers of finite graphs and edge ideals
• Characteristic-independence of Betti numbers of graph ideals
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• Non-vanishingness of Betti Numbers of Edge Ideals
• Resolutions of Facet Ideals
• Homological invariants of Cameron–Walker Graphs
• Bounds For Invariants of Edge-Rings