A Ramsey-style extension of a theorem of Erdős and Hajnal

Peter Komjáth

Fundamenta Mathematicae (2001)

  • Volume: 170, Issue: 1-2, page 119-122
  • ISSN: 0016-2736

Abstract

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If n, t are natural numbers, μ is an infinite cardinal, G is an n-chromatic graph of cardinality at most μ, then there is a graph X with X ( G ) ¹ μ , |X| = μ⁺, such that every subgraph of X of cardinality < t is n-colorable.

How to cite

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Peter Komjáth. "A Ramsey-style extension of a theorem of Erdős and Hajnal." Fundamenta Mathematicae 170.1-2 (2001): 119-122. <http://eudml.org/doc/282179>.

@article{PeterKomjáth2001,
abstract = {If n, t are natural numbers, μ is an infinite cardinal, G is an n-chromatic graph of cardinality at most μ, then there is a graph X with $X → (G)¹_μ$, |X| = μ⁺, such that every subgraph of X of cardinality < t is n-colorable.},
author = {Peter Komjáth},
journal = {Fundamenta Mathematicae},
keywords = {-chromatic graph},
language = {eng},
number = {1-2},
pages = {119-122},
title = {A Ramsey-style extension of a theorem of Erdős and Hajnal},
url = {http://eudml.org/doc/282179},
volume = {170},
year = {2001},
}

TY - JOUR
AU - Peter Komjáth
TI - A Ramsey-style extension of a theorem of Erdős and Hajnal
JO - Fundamenta Mathematicae
PY - 2001
VL - 170
IS - 1-2
SP - 119
EP - 122
AB - If n, t are natural numbers, μ is an infinite cardinal, G is an n-chromatic graph of cardinality at most μ, then there is a graph X with $X → (G)¹_μ$, |X| = μ⁺, such that every subgraph of X of cardinality < t is n-colorable.
LA - eng
KW - -chromatic graph
UR - http://eudml.org/doc/282179
ER -

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