Betti Numbers of Hypergraphs

DOI10.1080/00927870802098158zbMath1191.13015arXiv0711.3368OpenAlexW2014823407MaRDI QIDQ3638408

Eric Emtander

Publication date: 2 July 2009

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

Full work available at URL: https://arxiv.org/abs/0711.3368

zbMATH Keywords

Stanley-Reisner ringBetti numbersCohen-MacaulaySimplicial complexescomplete hypergraphs

Mathematics Subject Classification ID

Hypergraphs (05C65) Syzygies, resolutions, complexes and commutative rings (13D02) General commutative ring theory (13A99)

Related Items (10)

Aspects of topological approaches for data science ⋮ Homology of weighted path complexes and directed hypergraphs ⋮ Betti numbers of some semigroup rings ⋮ Monomial ideals with 3-linear resolutions ⋮ Chromatic-choosability of hypergraphs with high chromatic number ⋮ HYPERGRAPHS AND REGULARITY OF SQUARE-FREE MONOMIAL IDEALS ⋮ The Behaviors of Expansion Functor on Monomial Ideals and Toric Rings ⋮ A Künneth formula for finite sets ⋮ Some algebraic properties of hypergraphs ⋮ On the algebraic and topological structure of the set of Turán densities

Cites Work

• Unnamed Item
• Splittable ideals and the resolutions of monomial ideals
• A note on the Stanley-Reisner ring of a join and of a suspension
• Resolutions of Stanley-Reisner rings and Alexander duality
• Cohen-Macaulay properties of square-free monomial ideals
• Cohen-Macaulay graphs
• Resolutions of Facet Ideals
• On the bettinumbers of finite pure and linear resolutions
• Cellular resolutions of monomial modules

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