Search results for "Max-cut problem"

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A genetic system based on simulated crossover of sequences of two-bit genes

2006

AbstractWe introduce a genetic model based on simulated crossover of fixed sequences of two-bit genes. Results are(1)a lower bound on population size is exhibited such that a transition takes the stochastic finite population genetic system near the next state of the deterministic infinite population genetic system (provided both begin in the same state);(2)states and dynamics of the deterministic infinite population genetic system are derived for arbitrary (finite) fitness functions (expressed in terms of multivariate polynomials);(3)in the case of quadratic fitness defined by weight matrices with m nonnull entries it is shown that each state transition can be implemented in time O(m+l), wh…

Discrete mathematicseducation.field_of_studyGeneral Computer SciencePopulation sizeCrossoverPopulationState (functional analysis)Upper and lower boundsQuantitative Biology::GenomicsTheoretical Computer ScienceMarginal distribution genetic algorithmsChromosome (genetic algorithm)Genetic modelGenetic algorithmMax-cut problemeducationAlgorithmComputer Science(all)MathematicsTheoretical Computer Science
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