69 citations · 209 across the 37 of their papers we have counts for
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math.CO2012
Two counterexamples for power ideals of arrangements
Federico Ardila, Alex Postnikov
We disprove Holtz and Ron's conjecture that the power ideal C_{A,-2} of a hyperplane arrangement A (also called the "internal zonotopal space") is generated by A-monomials. We also…
math.CO2012
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes
Federico Ardila, Tia Baker, Rika Yatchak
Given a reconfigurable system X, such as a robot moving on a grid or a set of particles traversing a graph without colliding, the possible positions of X naturally form a cubical c…
math.CO2012
Lifted generalized permutahedra and composition polynomials
Federico Ardila, Jeffrey Doker
Generalized permutahedra are the polytopes obtained from the permutahedron by changing the edge lengths while preserving the edge directions, possibly identifying vertices along th…