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arXiv · 1703.09687

On multicolor Ramsey numbers for loose $k$-paths of length three

Tomasz Łuczak·Joanna Polcyn·Andrzej Ruciński
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Abstract

We show that there exists an absolute constant $A$ such that for each $k\ge2$ and every coloring of the edges of the complete $k$-uniform hypergraph on $ Ar$ vertices with $r$ colors, one of the color classes contains a loose path of length three.

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Tomasz Łuczak, Joanna Polcyn, Andrzej Ruciński. 2017-03-28. On multicolor Ramsey numbers for loose $k$-paths of length three. https://arxiv.org/abs/1703.09687

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