Titlebook: Parameterized and Exact Computation; 7th International Sy Dimitrios M. Thilikos,Gerhard J. Woeginger Conference proceedings 2012 Springer-V

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Instance Compression for the Polynomial Hierarchy and beyond,with respect to .-reductions. We show the following results about these problems:.Next, we define Succinct Interactive Proof (.) and by adapting the proof of . = . ([4,2]), we show that . (Quantified Boolean Formula Satisfiability) is in .. On the contrary if . has .s ([11]), Polynomial Hierarchy (.) collapses.

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Conference proceedings 2012or the design and analysis of parameterized and exact algorithms; fixed-parameter tractability results; parameterized complexity theory; relationship between parameterized complexity and traditional complexity classifications; applications of parameterized and exact computation; and implementation issues of parameterized and exact algorithms.

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Homomorphic Hashing for Sparse Coefficient Extraction, and SUBSET SUM. Our algorithms run in time proportional to the number of nonzero entries of the last segment of the DP table, which presents a strict improvement over sparse DP. The last property also gives an improved algorithm for CNF SAT and SET COVER with sparse projections.

GUISE

Fast Monotone Summation over Disjoint Sets, task and using a tree-projection approach to implement the nucleation. Applications include improved algorithms for counting heaviest .-paths in a weighted graph, computing permanents of rectangular matrices, and dynamic feature selection in machine learning.

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Weighted Counting of ,-Matchings Is #W[1]-Hard,in our reduction, we also prove #W[1]- hardness of the problem of counting .-partial cycle covers, which are vertex-disjoint unions of cycles including . edges in total. This hardness result even holds for unweighted graphs.

OASIS

Restricted and Swap Common Superstring: A Parameterized View,arameterized complexity of the two problems. We give two fixed-parameter algorithms, where the parameter is the size of the solution, for . and . (the . problem restricted to strings of length bounded by a parameter ℓ). Furthermore, we complement these results by showing that . and . do not admit a polynomial kernel.

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Conference proceedings 2012venia, in September 2012. The 21 revised full papers presented together with 2 keynote talks were carefully reviewed and selected from 37 submissions. The topics addressed cover research in all aspects of parameterized/exact algorithms and complexity including but are not limited to new techniques f