Titlebook: Mathematical Foundations of Computer Science 2001; 26th International S Ji?í Sgall,Ale? Pultr,Petr Kolman Conference proceedings 2001 Sprin

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Decomposition Methods and Sampling Circuits in the Cartesian Latticesmaller, derivative Markov chains, defined by a partition of the state space, and can be useful when standard, direct methods fail. Not only does this simplify the chain being analyzed, but it allows a hybrid approach whereby different techniques for bounding convergence rates can be used on differe

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New Algorithms for ,-SAT Based on the Local Search Principle principle of local search. Their deterministic and their probabilistic versions and variations, have been shown to achieve the best complexity bounds that are known for .-SAT (or the special case 3-SAT). We review these algorithms, their underlying principles and their analyses.

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Refined Search Tree Technique for , on Planar Graphs..., where k is the size of the dominating set and . is the number of vertices in the graph. For our search tree, we firstly provide a set of reduction rules. Secondly, we prove an intricate branching theorem based on the Euler formula. In addition, we give an example graph showing that the bound of