Some Algorithmic Problems in Polytope Theory
classification
🧮 math.CO
math.MG
keywords
problemsalgorithmiccombinatorialpolytopesbeyondcomplexityconvexcoordinate
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This is a survey on algorithmic questions about combinatorial and geometric properties of convex polytopes. We give a list of 35 problems; for each the current state of knowledege on its theoretical complexity status is reported. The problems are grouped into the sections ``Coordinate Descriptions'', ``Combinatorial Structure'', ``Isomorphism'', ``Optimization'', ``Realizability'', and ``Beyond Polytopes''.
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