69 citations · 209 across the 37 of their papers we have counts for
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math.CO2011★ 5 cited
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…
math.CO2011
Staircase skew Schur functions are Schur P-positive
Federico Ardila, Luis G. Serrano
We prove Stanley's conjecture that, if delta_n is the staircase shape, then the skew Schur functions s_{delta_n / mu} are non-negative sums of Schur P-functions. We prove that the…
math.CO2011★ 2 cited
Geodesics in CAT(0) Cubical Complexes
Federico Ardila, Megan Owen, Seth Sullivant
We describe an algorithm to compute the geodesics in an arbitrary CAT(0) cubical complex. A key tool is a correspondence between cubical complexes of global non-positive curvature…