English

How to Compress the Solution

Computational Complexity 2023-09-08 v3

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.

Keywords

Cite

@article{arxiv.2303.05616,
  title  = {How to Compress the Solution},
  author = {Samuel Epstein},
  journal= {arXiv preprint arXiv:2303.05616},
  year   = {2023}
}
R2 v1 2026-06-28T09:10:15.851Z