1 citations · 2 across the 2 of their papers we have counts for
5 papers
Hamming Polynomial of a Demimatroid
Jose Martinez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Following Britz, Johnsen, Mayhew and Shiromoto, we consider demi\-ma\-troids as a(nother) natural generalization of matroids. As they have shown, demi\-ma\-troids are the appropria…
Linear codes over signed graphs
Jose Martinez-Bernal, Miguel A. Valencia, Rafael H. Villarreal
We give formulas, in terms of graph theoretical invariants, for the minimum distance and the generalized Hamming weights of the linear code generated by the rows of the incidence m…
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…