Dominating Functions and Graphs

by Diestel and Shelah and Steprans. [DShS:443]
J London Math Soc, 1994
A graph is called dominating if its vertices can be labelled with integers in such a way that for every function f: omega-> omega the graph contains a ray whose sequence of labels eventually exceeds f . We obtain a characterization of these graphs by producing a small family of dominating graphs with the property that every dominating graph must contain some member of the family.

Back to the list of publications