50 citations · 250 across the 18 of their papers we have counts for
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Acyclic systems of permutations and fine mixed subdivisions of simplices
Federico Ardila, Cesar Ceballos
A fine mixed subdivision of a (d-1)-simplex T of size n gives rise to a system of permutations of [n] on the edges of T, and to a collection of n unit (d-1)-simplic…
Realizing the associahedron: Mysteries and questions
Cesar Ceballos, Günter M. Ziegler
There are many open problems and some mysteries connected to the realizations of the associahedra as convex polytopes. In this note, we describe three -- concerning special realiza…
Many non-equivalent realizations of the associahedron
Cesar Ceballos, Francisco Santos, Günter M. Ziegler
Hohlweg and Lange (2007) and Santos (2004, unpublished) have found two different ways of constructing exponential families of realizations of the n-dimensional associahedron with n…
Subword complexes, cluster complexes, and generalized multi-associahedra
Cesar Ceballos, Jean-Philippe Labbé, Christian Stump
In this paper, we use subword complexes to provide a uniform approach to finite type cluster complexes and multi-associahedra. We introduce, for any finite Coxeter group and any no…