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arxiv: 1611.08247 · v1 · pith:MISMIM2Enew · submitted 2016-11-24 · 🧮 math.CO

On multicolor Ramsey number for 3-paths of length three

classification 🧮 math.CO
keywords colorcompletelengththreeclassescolorscontainsgraph
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We show that if we color the hyperedges of the complete $3$-uniform complete graph on $2n+\sqrt{18n+1}+2$ vertices with $n$ colors, then one of the color classes contains a loose path of length three.

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