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Electronic Colloquium on Computational Complexity

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TR07-093 | 27th July 2007
Andrei A. Bulatov

The complexity of the counting constraint satisfaction problem

Revisions: 1

The Counting Constraint Satisfaction Problem (#CSP(H)) over a finite
relational structure H can be expressed as follows: given a
relational structure G over the same vocabulary,
determine the number of homomorphisms from G to H.
In this paper we characterize relational structures H for which
#CSP(H) can be solved in ... more >>>


TR07-092 | 10th July 2007
Piotr Berman, Bhaskar DasGupta

Approximating the Online Set Multicover Problems Via Randomized Winnowing

In this paper, we consider the weighted online set k-multicover problem. In this problem, we have an universe V of elements, a family SS of subsets of V with a positive real cost for every S\in SS, and a ``coverage factor'' (positive integer) k. A subset \{i_0,i_1,\ldots\ \subseteq V of ... more >>>


TR07-091 | 10th September 2007
Martin Grohe

Logic, Graphs, and Algorithms

Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined in terms of logic and graph theory. An archetypal algorithmic meta theorem is Courcelle's Theorem, which states that all graph properties definable in monadic second-order logic ... more >>>



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ISSN 1433-8092 | Imprint