17 citations · 20 across the 3 of their papers we have counts for
3 papers
math.CO2015★ 1 cited
Betti numbers of skeletons
Jan Roksvold, Hugues Verdure
We demonstrate that the Betti numbers associated to an N-graded minimal free resolution of the Stanley-Reisner ring of the (d-1)-skeleton of a simplicial complex of dimension d can…
math.CO2013★ 17 cited
A generalization of weight polynomials to matroids
Trygve Johnsen, Jan Roksvold, Hugues Verdure
Generalizing polynomials previously studied in the context of linear codes, we define weight polynomials and an enumerator for a matroid . Our main result is that these polynomi…
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…