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math.AC2009★ 6 cited
Betti numbers of Stanley-Reisner rings determine hierarchical Markov degrees
Sonja Petrović, Erik Stokes
There are two seemingly unrelated ideals associated with a simplicial complex Δ. One is the Stanley-Reisner ideal I_Δ, the monomial ideal generated by minimal non-faces of Δ, well-…
math.AC2009★ 6 cited
The -vectors of 1-dimensional Matroid Complexes and a Conjecture of Stanley
Erik Stokes
A matroid complex is a pure complex such that every restriction is again pure. It is a long-standing open problem to classify all possible -vectors of such complexes. In the cas…