The Ramsey Number of Loose Triangles and Quadrangles in Hypergraphs

[摘要] Asymptotic values of hypergraph Ramsey numbers for loose cycles (and paths) were determined recently. Here we determine some of them exactly, for example the 2-color hypergraph Ramsey number of a $k$-uniform loose 3-cycle or 4-cycle: $R(\mathcal{C}^k_3,\m

[学科分类] 离散数学和组合数学

[关键词] Hypergraph Ramsey Number;Loose Cycle;Loose Path