2011 | OriginalPaper | Buchkapitel
Progress in Complexity of Counting Problems
verfasst von : Jin-Yi Cai
Erschienen in: Frontiers in Algorithmics and Algorithmic Aspects in Information and Management
Verlag: Springer Berlin Heidelberg
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There has been remarkable progress in the classification program of the complexity of counting problems. This program is carried out in at least three interrelated formulations: Graph Homomorphisms, Counting CSP, and Holant Problems. In each formulation, complexity dichotomy theorems have been achieved which classify every problem in a given class to be either solvable in polynomial time or #P-hard.