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Bouquets, vertex covers and edge ideals

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Publication:5739053
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DOI10.1142/S0219498817500840zbMath1386.13075arXiv1402.3638MaRDI QIDQ5739053

Nursel Erey

Publication date: 2 June 2017

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

Full work available at URL: https://arxiv.org/abs/1402.3638


zbMATH Keywords

hypergraphedge idealminimal vertex coverbig height


Mathematics Subject Classification ID

Hypergraphs (05C65) Combinatorial aspects of commutative algebra (05E40) Computational homological algebra (13P20)


Related Items

Well ordered covers, simplicial bouquets, and subadditivity of Betti numbers of square-free monomial ideals



Cites Work

  • Unnamed Item
  • Gotzmann squarefree ideals
  • Progress in commutative algebra 1. Combinatorics and homology
  • Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs
  • Projective dimension, graph domination parameters, and independence complex homology
  • Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
  • Non-vanishingness of Betti Numbers of Edge Ideals
  • Resolutions of Facet Ideals
  • Vertex decomposable graphs and obstructions to shellability
  • Sequentially Cohen-Macaulay edge ideals
  • Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs
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