Ramsey expansions of 3-hypertournaments
Gregory Cherlin, Jan Hubi\v{c}ka, Mat\v{e}j Kone\v{c}n\'y, Jaroslav, Ne\v{s}et\v{r}il
TL;DR
This paper investigates Ramsey expansions of specific homogeneous 3-hypertournaments, revealing unique behaviors and challenging existing methods, thereby providing valuable new examples for structural Ramsey theory.
Contribution
It introduces new examples of Ramsey expansions in 3-hypertournaments that challenge current methods, enriching the understanding of structural Ramsey theory.
Findings
Exhibit interesting and unique behaviors
Some do not conform to existing methods
Highlight the need for novel approaches in the field
Abstract
We study Ramsey expansions of certain homogeneous 3-hypertournaments. We show that they exhibit an interesting behaviour and, in one case, they seem not to submit to current gold-standard methods for obtaining Ramsey expansions. This makes these examples very interesting from the point of view of structural Ramsey theory as there is a large demand for novel examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.