Graph Coloring and Reverse Mathematics

@article{Schmerl2000GraphCA,
  title={Graph Coloring and Reverse Mathematics},
  author={James H. Schmerl},
  journal={Math. Log. Q.},
  year={2000},
  volume={46},
  pages={543-548}
}
Improving a theorem of Gasarch and Hirst, we prove that if 2 ≤ k ≤ m < ω, then the following is equivalent to WKL0 over RCA0: Every locally k-colorable graph is m-colorable. Mathematics Subject Classification: 03F35, 03D45. 

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A colour problem for infinite graphs and a problem in the theory of relations

  • P. Erdös, N. G. de Bruijn
  • Indag. Math
  • 1951
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