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Hard enumeration problems in geometry and combinatorics. (English) Zbl 0596.68041
The problems: vertices in a polytope, d-dimensional faces of a polytope, facets of a polytope, components of slotted space, acyclic orientations of a graph, 3-colorings of a bipartite graph, and satisfying assignments of an implicative Boolean formula are #P-complete.
Reviewer: J.Ebert

MSC:
68Q25 Analysis of algorithms and problem complexity
05A15 Exact enumeration problems, generating functions
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