6 citations · 15 across the 3 of their papers we have counts for
3 papers
math.CO2010★ 3 cited
Pure O-sequences and matroid h-vectors
Huy Tài Hà, Erik Stokes, Fabrizio Zanello
We study Stanley's long-standing conjecture that the h-vectors of matroid simplicial complexes are pure O-sequences. Our method consists of a new and more abstract approach, which…
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…