By Georg Gottlob, Marco Manna, Michael Morak (auth.), Branislav Rovan, Vladimiro Sassone, Peter Widmayer (eds.)
This quantity constitutes the refereed complaints of the thirty seventh foreign Symposium on Mathematical Foundations of computing device technological know-how, MFCS 2012, held in Bratislava, Slovakia, in August 2012. The sixty three revised complete papers offered including eight invited talks have been conscientiously reviewed and chosen from 162 submissions. issues lined comprise algorithmic online game concept, algorithmic studying thought, algorithms and information constructions, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency concept, databases and knowledge-based platforms, foundations of computing, common sense in computing device technology, types of computation, semantics and verification of courses, and theoretical matters in man made intelligence.
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Extra info for Mathematical Foundations of Computer Science 2012: 37th International Symposium, MFCS 2012, Bratislava, Slovakia, August 27-31, 2012. Proceedings
In other words, A is directly indecomposable if, and only if, it cannot be decomposed as a nontrivial Cartesian product. Then the directly indecomposable algebras are the building blocks for products. Factors Congruences and Decomposition Operators. Let (θ, θ) be a pair of complementary factor congruences. Deﬁne a function fθ : A × A → A as follows: fθ (a, b) = the unique c such that aθcθb. Proposition 1. The function fθ satisﬁes the following conditions (for short, we write f for fθ ): (D1) f (x, x) = x; (D2) f (x, f (y, z)) = f (x, z) = f (f (x, y), z); (D3) f is a homomorphism from A × A into A.
3 While all our case studies are based on graph problems, the fundamental ideas and concepts presented here are clearly not restricted to these. 22 C. Komusiewicz and R. Niedermeier minimum clique cover maximum independent set minimum dominating set distance to clique vertex cover cluster editing max leaf number distance to co-cluster distance to cluster distance to disjoint paths feedback edge set number distance to cograph distance to interval feedback vertex set number pathwidth bandwidth maximum degree h-Index distance to chordal distance to bipartite treewidth degeneracy diameter distance to perfect chromatic number Fig.
3 Preliminaries. We use n to denote the input size. A problem is called fixedparameter tractable (FPT) if it can be solved in f (k) · poly(n) time, where f is a computable function only depending on k. The basic class of parameterized intractability is called W. Problems that can be solved in polynomial time for constant parameter values are contained in the class XP. Note that these problems are not necessarily ﬁxed-parameter tractable since the degree of the polynomial can be a function of the parameter k.