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Minimal free resolutions of linear edge ideals

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Publication:627986
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DOI10.1016/j.jalgebra.2010.09.013zbMath1221.13021OpenAlexW2024856170MaRDI QIDQ627986

Ri-Xiang Chen

Publication date: 4 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.09.013


zbMATH Keywords

Betti numbersedge idealslinear resolutions


Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)


Related Items

\(C_{4}\)-free edge ideals ⋮ Nonvanishing of Betti Numbers of Edge Ideals and Complete Bipartite Subgraphs ⋮ Betti numbers of fat forests and their Alexander dual



Cites Work

  • Unnamed Item
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  • On rigid circuit graphs
  • Minimal resolutions of some monomial ideals
  • Resolutions by mapping cones
  • Dirac's theorem on chordal graphs and Alexander duality
  • Resolutions obtained by iterated mapping cones
  • Linear resolutions of quadratic monomial ideals
  • On the Linear Strand of an Edge Ideal
  • Monomial and toric ideals associated to Ferrers graphs
  • Algorithmic Aspects of Vertex Elimination on Graphs
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