Ordered Ramsey theory and track representations of graphs
Ordered Ramsey theory and track representations of graphs
We study an ordered version of hypergraph Ramsey numbers for linearly ordered vertex sets, due to Fox, Pach, Sudakov, and Suk.In the k-uniform ordered path, the edges are the sets of k consecutive vertices in a linear order.Moshkovitz and Shapira described its ordered Ramsey number in terms of an enumerative …