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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…
math.CO2008
Matroid polytopes and their volumes
Federico Ardila, Carolina Benedetti, Jeffrey Doker
We express the matroid polytope of a matroid as a signed Minkowski sum of simplices, and obtain a formula for the volume of . This gives a combinatorial expression f…