18 citations · 19 across the 4 of their papers we have counts for
6 papers
On power ideals of transversal matroids and their "parking functions"
Camilo Sarmiento
To a vector configuration one can associate a polynomial ideal generated by powers of linear forms, known as a power ideal, which exhibits many combinatorial features of the matroi…
The -Tamari lattice via -trees, -bracket vectors, and subword complexes
Cesar Ceballos, Arnau Padrol, Camilo Sarmiento
We give new interpretations of the -Tamari lattice of Préville-Ratelle and Viennot. First, we describe it as a rotation lattice of -trees, which uncovers the relation with kn…
Geometry of -Tamari lattices in types and
Cesar Ceballos, Arnau Padrol, Camilo Sarmiento
In this paper, we exploit the combinatorics and geometry of triangulations of products of simplices to derive new results in the context of Catalan combinatorics of -Tamari latt…
Parity binomial edge ideals
Thomas Kahle, Camilo Sarmiento, Tobias Windisch
Parity binomial edge ideals of simple undirected graphs are introduced. Unlike binomial edge ideals, they do not have square-free Gröbner bases and are radical if only if the graph…
Dyck path triangulations and extendability
Cesar Ceballos, Arnau Padrol, Camilo Sarmiento
We introduce the Dyck path triangulation of the cartesian product of two simplices . The maximal simplices of this triangulation are given by Dyck paths, and…
Betti numbers of cut ideals of trees
Samu Potka, Camilo Sarmiento
Cut ideals, introduced by Sturmfels and Sullivant, are used in phylogenetics and algebraic statistics. We study the minimal free resolutions of cut ideals of tree graphs. By employ…