Cesar Ceballos

activity

20102021

most citedMany non-equivalent realizations of the associahedron

50 citations · 250 across the 18 of their papers we have counts for

collaborators

Showing 2015 · math.COShow all

3 papers · 2 filters

math.CO2015★ 3 cited

Cluster Algebras of Type $D_{4}$ , 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 $D_{4}$ modulo reflection-rotation is exactly equal to the number of combinatorial types of tropical planes in $\ma…

math.CO2015★ 42 cited

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…

math.CO2015

Combinatorics of the zeta map on rational Dyck paths

Cesar Ceballos, Tom Denton, Christopher R. H. Hanusa

An $(a, b)$ -Dyck path $P$ is a lattice path from $(0, 0)$ to $(b, a)$ that stays above the line $y = \frac{a}{b} x$ . The zeta map is a curious rule that maps the set of $(a, b)$ -Dyck path…

Cluster Algebras of Type D4​, Tropical Planes, and the Positive Tropical Grassmannian

A Hopf algebra of subword complexes

Combinatorics of the zeta map on rational Dyck paths

Cluster Algebras of Type $D_{4}$ , Tropical Planes, and the Positive Tropical Grassmannian