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arXiv · 2303.05616

How to Compress the Solution

Abstract

Using derandomization, we provide an upper bound on the compression size of solutions to the graph coloring problem. In general, if solutions to a combinatorial problem exist with high probability and the probability is simple, then there exists a simple solution to the problem. Otherwise the problem instance has high mutual information with the halting problem.

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Samuel Epstein. 2023-03-09. How to Compress the Solution. https://arxiv.org/abs/2303.05616

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