Titlebook: Mathematical Foundations of Computer Science 2005; 30th International S Joanna Jȩdrzejowicz,Andrzej Szepietowski Conference proceedings 200

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Knot Theory, Jones Polynomial and Quantum Computing physicists and chemists was lost for about a century. Nowadays knot theory has made a comeback. Knot theory and other areas of topology are no more considered as abstract areas of classical mathematics remote from anything of practical interest. They have made deep impact on quantum field theory, q

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Some Computational Issues in Membrane Computingnventional computing model, namely a P system, from natural phenomena of cell evolutions and chemical reactions. Because of the nature of maximal parallelism inherent in the model, P systems have a great potential for implementing massively concurrent systems in an efficient way that would allow us

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The Generalization of Dirac’s Theorem for Hypergraphsrem of Dirac states that a sufficient condition for an .-vertex graph to be hamiltonian, and thus, for . even, to have a perfect matching, is that the minimum degree is at least ./2. Moreover, there are obvious counterexamples showing that this is best possible.

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An Invitation to Play only binary information indicating the winning player. However, in classical games theory [12] the emphasis is rather on how much we win or lose. Can we incorporate the information about the profits and losses into parity games?

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The Complexity of Satisfiability Problems: Refining Schaefer’s Theoremied all tractable cases. Schaefer’s dichotomy theorem actually shows that there are at most two constraint satisfaction problems, up to polynomial-time isomorphism (and these isomorphism types are distinct if and only if P ≠ NP). We show that if one considers AC. isomorphisms, then there are exactly

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