Titlebook: LATIN 2002: Theoretical Informatics; 5th Latin American S Sergio Rajsbaum Conference proceedings 2002 Springer-Verlag Berlin Heidelberg 200

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Quantum Algorithmscan both be cast into the general framework of the hidden subgroup problem (see for example [.]). Two recent papers [.],[.] study how well this framework extends to solving the hidden subgroup problem for non-abelian groups (which includes the graph iso-morphism problem).

DEAF

An Algorithm That Builds a Set of Strings Given Its Overlap Graph in exponential time on the maximum degree of ., due to the size of the returned strings, but in polynomial time on ., ∑, and the size of the graph. A practical application of this algorithm is its use to prove the NP-hardness of . family (.) and its variation ., which are based on the DNA Fragment Assembly problem.

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Weakly Iterated Block Products of Finite Monoidsy iterated block products of semilattices correspond exactly to the well-known variety . of finite monoids: if groups are allowed as factors, the variety . is obtained. These decomposition theorems allow new, simpler, proofs of recent results concerning the defining power of generalized first-order logic using two variables only.

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0302-9743 from theoretical computer science and mathematical foundations, with a certain focus on algorithmics and computations related to discrete structures.978-3-540-43400-9978-3-540-45995-8Series ISSN 0302-9743 Series E-ISSN 1611-3349

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