Camilo Sarmiento

activity

20122018

most citedParity binomial edge ideals

18 citations · 19 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.CO2018

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…

math.CO2018★ 1 cited

The $ν$ -Tamari lattice via $ν$ -trees, $ν$ -bracket vectors, and subword complexes

Cesar Ceballos, Arnau Padrol, Camilo Sarmiento

We give new interpretations of the $ν$ -Tamari lattice of Préville-Ratelle and Viennot. First, we describe it as a rotation lattice of $ν$ -trees, which uncovers the relation with kn…

math.CO2016

Geometry of $ν$ -Tamari lattices in types $A$ and $B$

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 $ν$ -Tamari latt…

math.CO2014

Dyck path triangulations and extendability

Cesar Ceballos, Arnau Padrol, Camilo Sarmiento

We introduce the Dyck path triangulation of the cartesian product of two simplices $Δ_{n - 1} \times Δ_{n - 1}$ . The maximal simplices of this triangulation are given by Dyck paths, and…

On power ideals of transversal matroids and their "parking functions"

The ν-Tamari lattice via ν-trees, ν-bracket vectors, and subword complexes

Geometry of ν-Tamari lattices in types A and B

Dyck path triangulations and extendability

The $ν$ -Tamari lattice via $ν$ -trees, $ν$ -bracket vectors, and subword complexes

Geometry of $ν$ -Tamari lattices in types $A$ and $B$