Ramsey properties of products of chains

Csaba Biró; Sida Wan

Ramsey properties of products of chains

Combinatorics 2022-06-30 v4

Authors: Csaba Biró , Sida Wan

Abstract

Let $\mathbf{k}$ denote the totally ordered set (or chain) on $k$ elements. The product $\mathbf{k}^t=\mathbf{k}\times\cdots\times\mathbf{k}$ is a poset called a grid. This paper discusses several loosely related results on the Ramsey theory of grids. Most of the results involve some application of the Product Ramsey Theorem.

Keywords

ramsey theory chains grids posets product ramsey theorem

Cite

@article{arxiv.2012.06507,
  title  = {Ramsey properties of products of chains},
  author = {Csaba Biró and Sida Wan},
  journal= {arXiv preprint arXiv:2012.06507},
  year   = {2022}
}

Related papers

View all related →