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math.CO2012★ 2 cited
Betti numbers associated to the facet ideal of a matroid
Trygve Johnsen, Jan Nyquist Roksvold, Hugues Verdure
To a matroid M with n edges, we associate the so-called facet ideal F(M) generated by monomials corresponding to bases of M. We show that the Betti numbers related to an N-graded m…
cs.DM2012★ 7 cited
Stanley-Reisner resolution of constant weight linear codes
Trygve Johnsen, Hugues Verdure
Given a constant weight linear code, we investigate its weight hierarchy and the Stanley-Reisner resolution of its associated matroid regarded as a simplicial complex. We also exhi…