50 citations · 250 across the 18 of their papers we have counts for
4 papers · 1 filter
Cluster Algebras of Type , Tropical Planes, and the Positive Tropical Grassmannian
Sarah B. Brodsky, Cesar Ceballos, Jean-Philippe Labbé
We show that the number of combinatorial types of clusters of type modulo reflection-rotation is exactly equal to the number of combinatorial types of tropical planes in $\ma…
A Hopf algebra of subword complexes
Nantel Bergeron, Cesar Ceballos
We introduce a Hopf algebra structure of subword complexes, including both finite and infinite types. We present an explicit cancellation free formula for the antipode using acycli…
Cluster algebras of type D: pseudotriangulations approach
Cesar Ceballos, Vincent Pilaud
We present a combinatorial model for cluster algebras of type in terms of centrally symmetric pseudotriangulations of a regular -gon with a small disk in the centre. This…
Combinatorics of the zeta map on rational Dyck paths
Cesar Ceballos, Tom Denton, Christopher R. H. Hanusa
An -Dyck path is a lattice path from to that stays above the line . The zeta map is a curious rule that maps the set of -Dyck path…