+
|
The Erdős-Hajnal problem list
|
2025
|
Péter Komjáth
|
+
PDF
Chat
|
Corrigendum to “Countable Decompositions of $$R^2$$ and $$R^3$$”
|
2023
|
Péter Komjáth
|
+
PDF
Chat
|
A Coloring of the Plane Without Monochromatic Right Triangles
|
2023
|
Balázs Bursics
Péter Komjáth
|
+
|
A coloring of the plane without monochromatic right triangles
|
2023
|
Balázs Bursics
Péter Komjáth
|
+
PDF
Chat
|
NOTES ON SOME ERDŐS–HAJNAL PROBLEMS
|
2021
|
Péter Komjáth
|
+
|
Monocolored topological complete graphs in colorings of uncountable complete graphs
|
2021
|
Péter Komjáth
Saharon Shelah
|
+
PDF
Chat
|
WEISS'S QUESTION
|
2020
|
Péter Komjáth
|
+
PDF
Chat
|
Constructions of infinite graphs with Ramsey property
|
2020
|
Péter Komjáth
|
+
PDF
Chat
|
The Colouring Number of Infinite Graphs
|
2019
|
Nathan Bowler
Johannes Carmesin
Péter Komjáth
Christian Reiher
|
+
|
Universal graphs omitting finitely many finite graphs
|
2019
|
Péter Komjáth
Saharon Shelah
|
+
|
Minimal covering sets for infinite set systems
|
2019
|
Péter Komjáth
|
+
|
A note on set mappings: an extension of results of Hajnal and Máté under GCH
|
2019
|
Péter Komjáth
|
+
|
Infinite monochromatic sumsets for colourings of the reals
|
2018
|
Péter Komjáth
Imre Leader
Paul A. Russell
Saharon Shelah
Dániel T. Soukup
Zoltán Vidnyánszky
|
+
|
A Ramsey theorem for metric spaces
|
2018
|
Péter Komjáth
|
+
|
Note A Ramsey Statement for Infinite Groups
|
2018
|
Péter Komjáth
|
+
|
SET MAPPINGS WITH FREE SETS WHICH ARE ARITHMETIC PROGRESSIONS
|
2018
|
Péter Komjáth
|
+
|
Infinite monochromatic sumsets for colourings of the reals
|
2017
|
Péter Komjáth
Imre Leader
Paul A. Russell
Saharon Shelah
Dániel T. Soukup
Zoltán Vidnyánszky
|
+
|
On the connectivity of infinite graphs
|
2017
|
Péter Komjáth
|
+
|
A Theorem on Countable Ordered Sets with an Application to Universal Graphs
|
2017
|
Péter Komjáth
|
+
|
On a theorem of Galvin and Nagy
|
2017
|
Péter Komjáth
|
+
|
Consistently P(ω 1) is the union of less than $${2^{{\aleph _1}}}$$ 2 ℵ 1 strongly independent families
|
2017
|
Péter Komjáth
Saharon Shelah
|
+
|
Infinite monochromatic sumsets for colourings of the reals
|
2017
|
Péter Komjáth
Imre Leader
Paul A. Russell
Saharon Shelah
Dániel T. Soukup
Zoltán Vidnyánszky
|
+
|
Hadwiger’s conjecture for uncountable graphs
|
2016
|
Péter Komjáth
|
+
PDF
Chat
|
Well Ordering Groups with no Monotone Arithmetic Progressions
|
2016
|
Gyula Károlyi
Péter Komjáth
|
+
|
A problem of Laczkovich: How dense are set systems with no large independent sets?
|
2016
|
Péter Komjáth
|
+
|
A Certain 2-Coloring of the Reals
|
2016
|
Péter Komjáth
|
+
|
A remark on hereditarily nonparadoxical sets
|
2015
|
Péter Komjáth
|
+
|
The colouring number of infinite graphs
|
2015
|
Nathan Bowler
Johannes Carmesin
Péter Komjáth
Christian Reiher
|
+
|
On a result of Thomassen
|
2015
|
Péter Komjáth
|
+
|
A note on uncountable chordal graphs
|
2015
|
Péter Komjáth
|
+
|
The colouring number of infinite graphs
|
2015
|
Nathan Bowler
Johannes Carmesin
Péter Komjáth
Christian Reiher
|
+
PDF
Chat
|
Another proof of a result of Jech and Shelah
|
2013
|
Péter Komjáth
|
+
|
Note on the point character of l 1-spaces
|
2013
|
Christian Avart
Péter Komjáth
Vojtěch Rödl
|
+
|
A note on chromatic number and connectivity of infinite graphs
|
2013
|
Péter Komjáth
|
+
|
Set Theory: Geometric and Real
|
2013
|
Péter Komjáth
|
+
|
Erdős’s Work on Infinite Graphs
|
2013
|
Péter Komjáth
|
+
|
The list-chromatic number of infinite graphs
|
2012
|
Péter Komjáth
|
+
|
A Galvin–Hajnal conjecture on uncountably chromatic graphs
|
2012
|
Péter Komjáth
|
+
|
GRAPHS ON EUCLIDEAN SPACES DEFINED USING TRANSCENDENTAL DISTANCES
|
2011
|
Péter Komjáth
James H. Schmerl
|
+
|
Conflict free colorings of nonuniform systems of infinite sets
|
2011
|
Péter Komjáth
|
+
|
The quasi order of graphs on an ordinal
|
2011
|
Péter Komjáth
Jean A. Larson
Norbert Sauer
|
+
|
The chromatic number of infinite graphs — A survey
|
2010
|
Péter Komjáth
|
+
PDF
Chat
|
The List-Chromatic Number of Infinite Graphs Defined on Euclidean Spaces
|
2009
|
Péter Komjáth
|
+
|
Colorful flowers
|
2009
|
Christian Avart
Péter Komjáth
Tomasz Łuczak
V. Rödl
|
+
PDF
Chat
|
A note on almost disjoint families
|
2008
|
Péter Komjáth
|
+
|
An uncountably chromatic triple system
|
2008
|
Péter Komjáth
|
+
|
Obligatory subsystems of triple systems
|
2007
|
A. Hajnal
Péter Komjáth
|
+
|
THE CLUB GUESSING IDEAL: COMMENTARY ON A THEOREM OF GITIK AND SHELAH
|
2005
|
Matthew Foreman
Péter Komjáth
|
+
PDF
Chat
|
Finite subgraphs of uncountably chromatic graphs
|
2005
|
Péter Komjáth
Saharon Shelah
|
+
|
Wild edge colourings of graphs
|
2004
|
Mirna Džamonja
Péter Komjáth
Charles G. Morgan
|
+
PDF
Chat
|
A Partition Theorem for Scattered Order Types
|
2003
|
Péter Komjáth
Saharon Shelah
|
+
|
Some Remarks on the Simultaneous Chromatic Number
|
2003
|
A. Hajnal
Péter Komjáth
|
+
|
The Two Points Theorem of Mazurkiewicz
|
2002
|
Péter Komjáth
James H. Schmerl
|
+
PDF
Chat
|
Five degrees of separation
|
2002
|
Péter Komjáth
|
+
|
Finite subgraphs of uncountably chromatic graphs
|
2002
|
Péter Komjáth
Saharon Shelah
|
+
|
A partition theorem for scattered order types
|
2002
|
Péter Komjáth
Saharon Shelah
|
+
|
Review: James E. Baumgartner, Generic Graph Construction; Matthew Foreman, Richard Laver, Some Downwards Transfer Properties for $\mathscr{N}_2$; Saharon Shelah, A. Baker, B. Bollobas, A. Hajnal, Incompactness for Chromatic Numbers of Graphs
|
2001
|
Péter Komjáth
|
+
|
A combinatorial property of cardinals
|
2001
|
Péter Komjáth
Miklós Laczkovich
|
+
|
Three clouds may cover the plane
|
2001
|
Péter Komjáth
|
+
|
Some Remarks on Obligatory Subsytems of Uncountably Chromatic Triple Systems
|
2001
|
Péter Komjáth
|
+
PDF
Chat
|
A Ramsey-style extension of a theorem of Erdős and Hajnal
|
2001
|
Péter Komjáth
|
+
|
Two consistency results on set mappings
|
2000
|
Péter Komjáth
Saharon Shelah
|
+
|
Some remarks on the partition calculus of ordinals
|
1999
|
Péter Komjáth
|
+
|
Some remarks on universal graphs
|
1999
|
Péter Komjáth
|
+
|
A Coloring Result for the Plane
|
1999
|
Péter Komjáth
|
+
|
Consistency of the existence of a 4-place function on aleph_2 with no independent subset of size k_n
|
1998
|
Péter Komjáth
Saharon Shelah
|
+
PDF
Chat
|
Distinguishing two partition properties of $ω_1$
|
1998
|
Péter Komjáth
|
+
|
Two Remarks on the Coloring Number
|
1997
|
Péter Komjáth
|
+
|
A Note on ω<sub>1</sub> → ω<sub>1</sub> Functions
|
1997
|
Péter Komjáth
|
+
|
On the existence of countable universal graphs
|
1997
|
Zoltán Füredi
Péter Komjáth
|
+
|
Tomek Bartoszyński and Haim Judah. Set theory. On the structure of the real line. A K Peters, Wellesley, Mass., 1995, xi + 546 pp.
|
1997
|
Péter Komjáth
|
+
|
Set Theory: Geometric and Real
|
1997
|
Péter Komjáth
|
+
PDF
Chat
|
A strongly non-Ramsey uncountable graph
|
1997
|
Péter Komjáth
|
+
|
On taylor's problem
|
1996
|
Péter Komjáth
Saharon Shelah
|
+
PDF
Chat
|
Coloring finite subsets of uncountable sets
|
1996
|
Péter Komjáth
Saharon Shelah
|
+
|
Coloring finite subsets of uncountable sets
|
1995
|
Péter Komjáth
Saharon Shelah
|
+
|
Universal Graphs without Large Cliques
|
1995
|
Péter Komjáth
Saharon Shelah
|
+
|
A note on minors of uncountable graphs
|
1995
|
Péter Komjáth
|
+
|
Coloring finite subsets of uncountable sets
|
1995
|
Péter Komjáth
Saharon Shelah
|
+
PDF
Chat
|
Set mappings on generalized linear continua
|
1995
|
Péter Komjáth
|
+
|
There is no universal countable pentagon‐free graph
|
1994
|
Gregory Cherlin
Péter Komjáth
|
+
|
On a Conjecture of Rödl and Voigt
|
1994
|
Péter Komjáth
E. C. Milner
|
+
|
Partitions of vector spaces
|
1994
|
Péter Komjáth
|
+
|
Ramsey-Theory and Forcing Extensions
|
1994
|
Péter Komjáth
|
+
|
A consistency result concerning set mappings
|
1994
|
Péter Komjáth
|
+
|
A Decomposition Theorem for R n
|
1994
|
Péter Komjáth
|
+
|
On Taylor's problem
|
1994
|
Péter Komjáth
Saharon Shelah
|
+
|
A note on a set-mapping problem of Hajnal and Máté
|
1994
|
Péter Komjáth
Saharon Shelah
|
+
PDF
Chat
|
A decomposition theorem for 𝑅ⁿ
|
1994
|
Péter Komjáth
|
+
PDF
Chat
|
Ramsey theory and forcing extensions
|
1994
|
Péter Komjáth
|
+
|
On Taylor's problem
|
1994
|
Péter Komjáth
Saharon Shelah
|
+
|
On uniformly antisymmetric functions
|
1993
|
Péter Komjáth
Saharon Shelah
|
+
|
Universal graphs without large cliques
|
1993
|
Péter Komjáth
Saharon Shelah
|
+
|
A consistent edge partition theorem for infinite graphs
|
1993
|
Péter Komjáth
Saharon Shelah
|
+
|
Chapter XII. Set Theoretic Constructions in Euclidean Spaces
|
1993
|
Péter Komjáth
|
+
|
Set Theoretic Constructions in Euclidean Spaces
|
1993
|
Péter Komjáth
|
+
|
On uniformly antisymmetric functions
|
1993
|
Péter Komjáth
Saharon Shelah
|
+
|
Universal graphs without large cliques
|
1993
|
Péter Komjáth
Saharon Shelah
|
+
PDF
Chat
|
Vector sets with no repeated differences
|
1993
|
Péter Komjáth
|
+
|
Martin's axiom and spanning trees of infinite graphs
|
1992
|
Péter Komjáth
|
+
|
Universal elements and the complexity of certain classes of infinite graphs
|
1991
|
Péter Komjáth
János Pach
|
+
|
A set mapping with no infinite free subsets
|
1991
|
Péter Komjáth
|
+
|
A Second Category Set with Only First Category Functions
|
1991
|
Péter Komjáth
|
+
|
Tetrahedron Free Decomposition of R<sup>3</sup>
|
1991
|
Péter Komjáth
|
+
PDF
Chat
|
A second category set with only first category functions
|
1991
|
Péter Komjáth
|
+
PDF
Chat
|
Countable decompositions ofR 2 andR 3
|
1990
|
Paul Erdős
Péter Komjáth
|
+
PDF
Chat
|
On second-category sets
|
1989
|
Péter Komjáth
|
+
|
Consistency results on infinite graphs
|
1988
|
Péter Komjáth
|
+
|
Forcing constructions for uncountably chromatic graphs
|
1988
|
Péter Komjáth
Saharon Shelah
|
+
|
Some universal graphs
|
1988
|
Péter Komjáth
Alan H. Mekler
János Pach
|
+
|
A compactness theorem for perfect matchings in matroids
|
1988
|
Péter Komjáth
E. C. Milner
Norbert Polat
|
+
PDF
Chat
|
Embedding graphs into colored graphs
|
1988
|
A. Hajnal
Péter Komjáth
|
+
PDF
Chat
|
Large small sets
|
1988
|
Péter Komjáth
|
+
|
Ramsey-type results for metric spaces
|
1987
|
Péter Komjáth
|
+
|
A compactness theorem for perfect matchings in matroids
|
1987
|
Péter Komjáth
E. C. Milner
Norbert Polat
|
+
|
On representing sets of an almost disjoint family of sets
|
1987
|
Péter Komjáth
E. C. Milner
|
+
|
On k-transversals
|
1987
|
Ron Aharoni
Péter Komjáth
|
+
PDF
Chat
|
Morasses and the Lévy-collapse
|
1987
|
Péter Komjáth
|
+
|
Some higher-gap examples in combinatorial set theory
|
1987
|
A. Hajnal
Péter Komjáth
|
+
|
The Colouring Number
|
1987
|
Péter Komjáth
|
+
PDF
Chat
|
Partitioning topological spaces into countably many pieces
|
1987
|
Péter Komjáth
William Weiss
|
+
|
Coloring of universal graphs
|
1986
|
Péter Komjáth
Vojtěch Rödl
|
+
|
An infinite version of Ryser's inequality
|
1986
|
Péter Komjáth
|
+
|
Connectivity and chromatic number of infinite graphs
|
1986
|
Péter Komjáth
|
+
|
Comparing almost-disjoint families
|
1986
|
Péter Komjáth
|
+
|
Coloring graphs with locally few colors
|
1986
|
P. Erdős
Zoltán Füredi
A. Hajnal
Péter Komjáth
V. Rödl
Ákos Seress
|
+
|
Stationary reflections for uncountable cofinality
|
1986
|
Péter Komjáth
|
+
|
Universal graphs without large bipartite subgraphs
|
1984
|
Péter Komjáth
János Pach
|
+
|
On the limit superior of analytic sets
|
1984
|
Péter Komjáth
|
+
|
Families close to disjoint ones
|
1984
|
Péter Komjáth
|
+
|
What must and what need not be contained in a graph of uncountable chromatic number?
|
1984
|
A. Hajnal
Péter Komjáth
|
+
|
A continuous generalization of the transversal property
|
1984
|
Péter Komjáth
|
+
PDF
Chat
|
Large Sets not Containing Images of a Given Sequence
|
1983
|
Péter Komjáth
|
+
PDF
Chat
|
A note on Jensen’s covering lemma
|
1983
|
Péter Komjáth
|
+
PDF
Chat
|
Boolean algebras in which every chain and antichain is countable
|
1981
|
James E. Baumgartner
Péter Komjáth
|
+
|
The admissible trace problem for E-unitary inverse semigroups
|
1977
|
Karl Byleen
Péter Komjáth
|
+
PDF
Chat
|
Rearranging transfinite series of ordinals
|
1977
|
Péter Komjáth
|
+
|
The transversal property implies Property B
|
1976
|
Gerhard Hoffmann
Péter Komjáth
|