2 papers
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
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…