Cesar Ceballos

activity

20182026

collaborators

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5 papers · 1 filter

math.CO2026

Invariance of rowmotion for variants of the Tamari lattice

Ben Adenbaum, Emily Barnard, Cesar Ceballos +6

We show that the rowmotion operator from dynamical algebraic combinatorics behaves the same on all alt $ν$ -Tamari lattices for a fixed lattice path $ν$ . We use this invariance of r…

math.CO2023

Generalized Heawood Graphs and Triangulations of Tori

Cesar Ceballos, Joseph Doolittle

The Heawood graph is a remarkable graph that played a fundamental role in the development of the theory of graph colorings on surfaces in the 19th and 20th centuries. Based on perm…

math.CO2023

On linear intervals in the alt $ν$ -Tamari lattices

Cesar Ceballos, Clément Chenevière

Given a lattice path $ν$ , the $ν$ -Tamari lattice and the $ν$ -Dyck lattice are two natural examples of partial order structures on the set of lattice paths that lie weakly above $ν$ …

math.CO2023

Lattices of acyclic pipe dreams

Nantel Bergeron, Noémie Cartier, Cesar Ceballos +1

We show that for any permutation $ω$ , the increasing flip graph on acyclic pipe dreams with exiting permutation $ω$ is a lattice quotient of the interval $[e, ω]$ of the weak order.…

math.CO2018

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…

Invariance of rowmotion for variants of the Tamari lattice

Generalized Heawood Graphs and Triangulations of Tori

On linear intervals in the alt ν-Tamari lattices

Lattices of acyclic pipe dreams

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

On linear intervals in the alt $ν$ -Tamari lattices

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