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Combinatorics and Kolmogorov complexity

Ming Li, Paul Vitányi

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Abstract

The authors investigate combinatorial properties of finite sequences with high Kolmogorov complexity. They also demonstrate the utility of a Kolmogorov complexity method in combinatorial theory by several examples (such as the coin-weighing problem). >

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What this paper is about

The authors investigate combinatorial properties of finite sequences with high Kolmogorov complexity. They also demonstrate the utility of a Kolmogorov complexity method in combinatorial theory by several examples (such as the coin-weighing problem). >

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Available abstract

The authors investigate combinatorial properties of finite sequences with high Kolmogorov complexity. They also demonstrate the utility of a Kolmogorov complexity method in combinatorial theory by several examples (such as the coin-weighing problem). >

Key concepts: Kolmogorov complexity, Kolmogorov structure function, Mathematics, Kolmogorov equations (Markov jump process), Combinatorics, Discrete mathematics, Ordinary differential equation, Mathematical analysis

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