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math.CO2016
Pattern-Avoiding Polytopes
Robert Davis, Bruce Sagan
Two well-known polytopes whose vertices are indexed by permutations in the symmetric group are the permutohedron and the Birkhoff polytope . We consider…
math.CO2016
Detecting the Integer Decomposition Property and Ehrhart Unimodality in Reflexive Simplices
Benjamin Braun, Robert Davis, Liam Solus
A long-standing open conjecture in combinatorics asserts that a Gorenstein lattice polytope with the integer decomposition property (IDP) has a unimodal (Ehrhart) -polynomi…