14 citations · 32 across the 10 of their papers we have counts for
14 papers
Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation
Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry Wynn
We introduce the lcm-filtration and stepwise filtration, comparing their performance across various scenarios in terms of computational complexity, efficiency, and redundancy. The…
Stable Coherent Systems
Rodrigo Iglesias, Fatemeh Mohammadi, Patricia Pascual-Ortigosa +2
We describe the notion of stability of coherent systems as a framework to deal with redundancy. We define stable coherent systems and show how this notion can help the design of re…
Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals
Rodrigo Iglesias, Eduardo Sáenz-de-Cabezón
We prove that the Pommaret-Seiler resolution for quasi-stable ideals is cellular and give a cellular structure for it. This shows that this resolution is a generalization of the we…
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes
Manuel González-Sarabia, Humberto Muñoz-George, Jorge A. Ordaz +2
For projective Reed--Muller-type codes we give a global duality criterion in terms of the v-number and the Hilbert function of a vanishing ideal. As an application, we provide a gl…
Lattice Conditional Independence Models and Hibi Ideals
Peter Caines, Fatemeh Mohammadi, Eduardo Sáenz de Cabezón +1
Lattice Conditional Independence models are a class of models developed first for the Gaussian case in which a distributive lattice classifies all the conditional independence stat…
Support posets of some monomial ideals
Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón
The support poset of a monomial ideal encodes the relation between the variables and the minimal monomial generators of . I…