5 citations · 7 across the 8 of their papers we have counts for
3 papers · 1 filter
Nonvanishing Betti Numbers of Weakly Chordal Graphs
Jose Martinez-Bernal, Oscar A. Piza-Morales
We show that Kimura's necessary and sufficient condition for the non-vanishingness of multigraded Betti numbers of chordal graphs can be extended to the wider class of weakly chord…
Generalized Hamming weights of projective Reed--Muller-type codes over graphs
Jose Martinez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Let be a connected graph and let be the set of projective points defined by the column vectors of the incidence matrix of over a field of any characteristi…
Depth and regularity of monomial ideals via polarization and combinatorial optimization
Jose Martínez-Bernal, Susan Morey, Rafael H. Villarreal +1
In this paper we use polarization to study the behavior of the depth and regularity of a monomial ideal , locally at a variable , when we lower the degree of all the highes…