1 citations · 3 across the 6 of their papers we have counts for
7 papers
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 -Tamari lattices for a fixed lattice path . We use this invariance of r…
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…
On linear intervals in the alt -Tamari lattices
Cesar Ceballos, Clément Chenevière
Given a lattice path , the -Tamari lattice and the -Dyck lattice are two natural examples of partial order structures on the set of lattice paths that lie weakly above …
Lattices of acyclic pipe dreams
Nantel Bergeron, Noémie Cartier, Cesar Ceballos +1
We show that for any permutation , the increasing flip graph on acyclic pipe dreams with exiting permutation is a lattice quotient of the interval of the weak order.…
The -weak order and -permutahedra I: combinatorics and lattice structure
Cesar Ceballos, Viviane Pons
This is the first contribution of a sequence of papers introducing the notions of -weak order and -permutahedra, certain discrete objects that are indexed by a sequence of no…
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…
The configuration space of a robotic arm in a tunnel
Federico Ardila, Hanner Bastidas, Cesar Ceballos +1
We study the motion of a robotic arm inside a rectangular tunnel. We prove that the configuration space of all possible positions of the robot is a CAT(0) cubical complex. This all…