Publication at Faculty of Mathematics and Physics |
2019
Abstract
Motivated by applications in structural Ramsey theory, we describe \metric-like" classes of edge-labelled graphs, study their completion problems and nd Ramsey expansions. They turn out to be general enough to incorporate most of the known Ramsey results for edge-labelled graphs under a common framework and also solve a problem of Conant on generalised metric spaces.
As a corollary of understanding completions, one obtains homomorphism dualities for these classes.