Optimal Betti numbers of forest ideals.
Goff, Michael (2009)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Betti numbers of monomial ideals and shifted skew shapes.”
Optimal Betti numbers of forest ideals.
Algebraic properties of edge ideals via combinatorial topology.
Dochtermann, Anton, Engström, Alexander (2009)
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Some algebraic properties of hypergraphs
Eric Emtander, Fatemeh Mohammadi, Somayeh Moradi (2011)
Czechoslovak Mathematical Journal
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We consider Stanley-Reisner rings where is the edge ideal associated to some particular classes of hypergraphs. For instance, we consider hypergraphs that are natural generalizations of graphs that are lines and cycles, and for these we compute the Betti numbers. We also generalize some known results about chordal graphs and study a weak form of shellability.
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