3 papers
math.LO2024
On Ramsey degrees, compactness and approximability
Dragan Mašulović
One of the consequences of the Compactness Principle in structural Ramsey theory is that the small Ramsey degrees cannot exceed the corresponding big Ramsey degrees, thereby justif…
math.LO2022
From Ramsey degrees to Ramsey expansions via weak amalgamation
Dragan Mašulović, Andy Zucker
Under no additional assumptions, in this paper we construct a Ramsey expansion for every category of finite objects with finite small Ramsey degrees. Our construction is based on t…
math.CO2012
Homomorphism-homogeneous L-colored graphs
David Hartman, Jan Hubicka, Dragan Masulovic
A relational structure is homomorphism-homogeneous (HH-homogeneous for short) if every homomorphism between finite induced substructures of the structure can be extended to a homom…