Details

Autor(en) / Beteiligte

• Evans, David M.
• Hubička, Jan
• Nešetřil, Jaroslav

Titel

Automorphism groups and Ramsey properties of sparse graphs

Ist Teil von

• Proceedings of the London Mathematical Society, 2019-08, Vol.119 (2), p.515-546

Erscheinungsjahr

2019

Quelle

Wiley Online Library All Journals

Beschreibungen/Notizen

• We study automorphism groups of sparse graphs from the viewpoint of topological dynamics and the Kechris, Pestov, Todorčević correspondence. We investigate amenable and extremely amenable subgroups of these groups using the space of orientations of the graph and results from structural Ramsey theory. Resolving one of the open questions in the area, we show that Hrushovski's example of an ω‐categorical sparse graph has no ω‐categorical expansion with extremely amenable automorphism group.