On the Multicolor Ramsey Number for 3-Paths of Length Three

[摘要] We show that if we color the hyperedges of the complete $3$-uniform hypergraph on $2n+\sqrt{18n+1}+2$ vertices with $n$ colors, then one of the color classes contains a loose path of length three.

[学科分类] 离散数学和组合数学

[关键词] Ramsey number;Hypergraphs;Paths