118 citations · 220 across the 30 of their papers we have counts for
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math.MG2018★ 4 cited
Elementary moves on lattice polytopes
Julien David, Lionel Pournin, Rado Rakotonarivo
We introduce a graph structure on Euclidean polytopes. The vertices of this graph are the -dimensional polytopes contained in and its edges connect any two polyto…
math.MG2018★ 3 cited
Diameter, decomposability, and Minkowski sums of polytopes
Antoine Deza, Lionel Pournin
We investigate how the Minkowski sum of two polytopes affects their graph and, in particular, their diameter. We show that the diameter of the Minkowski sum is bounded below by the…