Combinatorial partitions of finite posets and lattices - Ramsey lattices

DOI10.1007/BF01191498zbMath0546.06002OpenAlexW2049849006MaRDI QIDQ798338

Vojtěch Rödl, Jaroslav Nešetřil

Publication date: 1984

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191498

zbMATH Keywords

chromatic numberfinite posetsfinite latticesfinite distributive latticesRamsey-type theoremsHasse-diagrampartitions of latticespoint-Ramsey property

Mathematics Subject Classification ID

Partial orders, general (06A06) Combinatorial aspects of partitions of integers (05A17) Representation theory of lattices (06B15) Coloring of graphs and hypergraphs (05C15) Generalized Ramsey theory (05C55)

Related Items (29)

A Ramsey theoretic problem for finite ordered sets ⋮ Upper bounds for a Ramsey theorem for trees ⋮ Distance Preserving Ramsey Graphs ⋮ Ramsey classes with forbidden homomorphisms and a closure ⋮ Symmetry and the Ramsey degree of posets ⋮ Metric spaces are Ramsey ⋮ Representing orders on the plane by translating convex figures ⋮ Some remarks on natural orders for combinatorial cubes ⋮ A dual Ramsey theorem for permutations ⋮ Ramsey properties of products of chains ⋮ On big Ramsey degrees for binary free amalgamation classes ⋮ Boolean lattices: Ramsey properties and embeddings ⋮ A Ramsey class for Steiner systems ⋮ Poset Ramsey numbers: large Boolean lattice versus a fixed poset ⋮ Subrecursive Complexity of Identifying the Ramsey Structure of Posets ⋮ Ramsey classes of topological and metric spaces ⋮ Big Ramsey degrees in universal inverse limit structures ⋮ Ramsey property, ultrametric spaces, finite posets, and universal minimal flows ⋮ A Ramseyian theorem on products of trees ⋮ Reorientations of covering graphs ⋮ Chromatic number of Hasse diagrams, eyebrows and dimension ⋮ Ramsey partial orders from acyclic graphs ⋮ The Ramsey and the ordering property for classes of lattices and semilattices ⋮ Ramsey numbers for partially-ordered sets ⋮ SEMILATTICES AND THE RAMSEY PROPERTY ⋮ Some recollections on early work with Jan Pelant ⋮ All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms) ⋮ Complexity of diagrams ⋮ Finite presentation of homogeneous graphs, posets and Ramsey classes

Cites Work

• Recent results in partition (Ramsey) theory for finite lattices
• A short proof of the existence of highly chromatic hypergraphs without short cycles
• Regularity and Positional Games
• Selective Graphs and Hypergraphs
• On chromatic number of graphs and set-systems
• On chromatic number of finite set-systems

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