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arXiv · 1804.09638

Reverse mathematics and colorings of hypergraphs

Caleb Davis·Jeffry Hirst·Jake Pardo·Timothy Ransom
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Abstract

Working in subsystems of second order arithmetic, we formulate several representations for hypergraphs. We then prove the equivalence of various vertex coloring theorems to ${\sf WKL}_0$, ${\sf ACA}_0$ and $\Pi ^1_ 1$-${\sf CA}_0$.

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Caleb Davis, Jeffry Hirst, Jake Pardo, Timothy Ransom. 2018-04-25. Reverse mathematics and colorings of hypergraphs. https://arxiv.org/abs/1804.09638

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