13 citations · 19 across the 5 of their papers we have counts for
9 papers
On decoding hyperbolic codes
Eduardo Camps-Moreno, Ignacio García-Marco, Hiram H. López +3
This work studies several decoding algorithms for hyperbolic codes. We use some previous ideas to describe how to decode a hyperbolic code using the largest Reed-Muller code contai…
On sensitivity in bipartite Cayley graphs
Ignacio García-Marco, Kolja Knauer
Huang proved that every set of more than half the vertices of the -dimensional hypercube induces a subgraph of maximum degree at least , which is tight by a resu…
Factorizations of the same length in abelian monoids
Evelia R. García Barroso, Ignacio García-Marco, Irene Márquez-Corbella
Let be a finitely generated and reduced monoid. In this paper we develop a general strategy to study the set of elements in …
Cayley posets
Ignacio García-Marco, Kolja Knauer, Guillaume Mercui-Voyant
We introduce Cayley posets as posets arising naturally from pairs of semigroups, much in the same way that Cayley graph arises from a (semi)group and a subset. We show that C…
Chomp on generalized Kneser graphs and others
Ignacio García-Marco, Kolja Knauer, Luis Pedro Montejano
In chomp on graphs, two players alternatingly pick an edge or a vertex from a graph. The player that cannot move any more loses. The questions one wants to answer for a given graph…
Noether resolutions in dimension
Isabel Bermejo, Eva García-Llorente, Ignacio García-Marco +1
Let be a polynomial ring over an infinite field , and let be a homogeneous ideal with respect to a weight vector $ω= (ω_1,\ldots,ω_n) \in…
Numerical semigroups II: pseudo-symmetric AA-Semigroups
Ignacio García-Marco, Jorge L. Ramírez Alfonsín, Oystein J. Rodseth
This paper is a continuation of the paper "Numerical Semigroups: Apéry Sets and Hilbert Series". We consider the general numerical AA-semigroup, i.e., semigroups consisting of all…
Complete intersections in simplicial toric varieties
Isabel Bermejo, Ignacio García-Marco
Given a set of nonzero vectors defining a simplicial toric ideal , where is an arb…
Graphs and complete intersection toric ideals
Isabel Bermejo, Ignacio García-Marco, Enrique Reyes
Our purpose is to study the family of simple undirected graphs whose toric ideal is a complete intersection from both an algorithmic and a combinatorial point of view. We obtain a…