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20092026
most citedCategorical Constructions and the Ramsey Property

3 citations · 8 across the 15 of their papers we have counts for

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16 papers · 1 filter

math.CO2026

Hall's universal group does not have finite big Ramsey degrees

Dragan Mašulović, Veljko Toljić

In this paper we show that the Hall's universal group does not have finite big Ramsey degrees. Our strategy consists of piggybacking on the recent result of Hubička, Konečný, Todor…

math.CO2021

Coalgebraic methods for Ramsey degrees of unary algebras

Dragan Mašulović

In this paper we are interested in the existence of small and big Ramsey degrees of classes of finite unary algebras in arbitrary (not necessarily finite) algebraic language . W…

math.CO2021

Dual Ramsey properties for classes of algebras

Dragan Masulovic

Almost any reasonable class of finite relational structures has the Ramsey property or a precompact Ramsey expansion. In contrast to that, the list of classes of finite algebras wi…

math.CO2020

Ramsey degrees: big v. small

Dragan Mašulović

In this paper we investigate algebraic properties of big Ramsey degrees in categories satisfying some mild conditions. As the first nontrivial consequence of the generalization we…

math.CO2018

Finite big Ramsey degrees in universal structures

Dragan Masulovic

Big Ramsey degrees of finite structures are usually considered with respect to a Fraï ssé limit. Building mainly on the work of Devlin, Sauer, Laflamme and Van Thé, in this paper w…

math.CO2018

The Ramsey and the ordering property for classes of lattices and semilattices

Dragan Mašulović

The class of finite distributive lattices, as many other classes of structures, does not have the Ramsey property. It is quite common, though, that after expanding the structures w…

math.CO2017

Canonizing structural Ramsey theorems

Dragan Masulovic

At the beginning of 1950's Erd\H os and Rado suggested the investigation of the Ramsey-type results where the number of colors is not finite. This marked the birth of the so-called…

math.CO2017

A Dual Ramsey Theorem for Finite Ordered Oriented Graphs

Dragan Mašulović, Bojana Pantić

In contrast to the abundance of "direct" Ramsey results for classes of finite structures (such as finite ordered graphs, finite ordered metric spaces and finite posets with a linea…

math.CO2017

Dual Ramsey theorems for relational structures

Dragan Mašulović

In this paper we provide explicit dual Ramsey statements for several classes of finite relational structures (such as finite linearly ordered graphs, finite linearly ordered metric…

math.CO2017

A Ramsey Theorem for Multiposets

Nemanja Draganić, Dragan Mašulović

In the parlance of relational structures, the Finite Ramsey Theorem states that the class of all finite chains has the Ramsey property. A classical result of J. Nešetřil and V. Röd…

math.CO2017

A Dual Ramsey Theorem for Permutations

Dragan Masulovic

In 2012 M. Sokić proved that the class of all finite permutations has the Ramsey property. Using different strategies the same result was then reproved in 2013 by J. Böttcher and J…

math.CO2016

Pre-adjunctions and the Ramsey property

Dragan Masulovic

Showing that the Ramsey property holds for a class of finite structures can be an extremely challenging task and a slew of sophisticated methods have been proposed in literature. I…

math.CO2015★ 1 cited

On the Dual Ramsey Property for Finite Distributive Lattices

Dragan Masulovic, Nebojsa Mudrinski

The class of finite distributive lattices, as many other classes of structures in everyday use, does not have the Ramsey property. It is quite common, though, that after expanding…

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…

math.CO2010★ 2 cited

Finite irreflexive homomorphism-homogeneous binary relational systems

Dragan Mašulović, Rajko Nenadov, Nemanja Škorić

A structure is called homogeneous if every isomorphism between finite substructures of the structure extends to an automorphism of the structure. Recently, P. J. Cameron and J. Neš…

math.CO2009

On finite reflexive homomorphism-homogeneous binary relational systems

Dragan Mašulović, Rajko Nenadov, Nemanja Škorić

A structure is called homogeneous if every isomorphism between finitely induced substructures of the structure extends to an automorphism of the structure. Recently, P. J. Cameron…