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Hard Enumeration Problems in Geometry and Combinatorics

Nathan Linial

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Source: Crossref

Published: Apr 1, 1986

DOI: 10.1137/0607036

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Source abstract

A number of natural enumeration problems in geometry and combinatorics are shown to be complete in the class # P introduced by Valiant. Among others this is established for the numeration of vertices and of facets of a polytope, acyclic orientations of a graph and satisfying assignments of implicative boolean formulas.

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