Bowtie-free graphs and generic automorphisms

Structural Ramsey Theory and the Extension Property for Partial Automorphisms

“…EPPA for the class of all finite bowtie-free graphs was considered by Siniora [Sin17a,Sin17b] who gave a partial result for extending one partial automorphisms. Thanks to the general results on free amalgamation classes with unary functions the proof of the existence of a Ramsey expansion and of EPPA for the class of all finite bowtie-free graphs is now easy [EHN17, Setion 5.4] and in fact generalises to all known Cherlin-Shelah-Shi classes with one constraint [HN19, Section 4.4.2].…”