3 papers
math.AC2020
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 …
math.CO2019
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…
math.CO2018
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…