Some Ramsey theorems for finite nn-colorable and nn-chromatic graphs

Given a fixed integer $n$, we prove Ramsey-type theorems for the classes of all finite ordered $n$-colorable graphs, finite $n$-colorable graphs, finite ordered $n$-chromatic graphs, and finite $n$-chromatic graphs.Comment: 7 page

Big Ramsey degrees and divisibility in classes of ultrametric spaces

Given a countable set S of positive reals, we study finite-dimensional Ramsey-theoretic properties of the countable ultrametric Urysohn space with distances in S.Comment: 12 page