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An Application of Ramsay's Theorem to a Problem of Erdos and Hajnal
Published online by Cambridge University Press: 20 November 2018
Extract
A family of sets is said to possess property if there exists a set such that and F ⊄ B for each In [1], P. Erdos and A. Hajnal ask the following question: Does there exist for every positive integer k a finite family of finite sets satisfying
(i) |F|=k for each
(ii) | F∩ G| ≤ 1 for each F, , F ≠ G
(iii) does not possess property ?
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- Copyright © Canadian Mathematical Society 1965
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