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math.MG2016★ 14 cited
Improved bounds on the diameter of lattice polytopes
Antoine Deza, Lionel Pournin
We show that the largest possible diameter of a -dimensional polytope whose vertices have integer coordinates ranging between and is at most $kd-\lceil2d/3\rcei…
math.CO2016★ 4 cited
Once punctured disks, non-convex polygons, and pointihedra
Hugo Parlier, Lionel Pournin
We explore several families of flip-graphs, all related to polygons or punctured polygons. In particular, we consider the topological flip-graphs of once-punctured polygons which,…