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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 -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 …
math.CO2023★ 1 cited
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.…