Füredi, Zoltán and Katona, Gyula
(2006)
*2-bases of Quadruples.*
COMBINATORICS PROBABILITY AND COMPUTING, 15 (1-2).
pp. 131-141.
ISSN 0963-5483

Text
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## Abstract

Let Beta(n, <= 4) denote the subsets of [n] := {1, 2,..., n} of at most 4 elements. Suppose that F is a set system with the property that every member of B can be written as a union of (at most) two members of F. (Such an F is called a 2-base of B.) Here we answer a question of Erdos proving that [GRAPHICS] and this bound is best possible for n >= 8.

Item Type: | Article |
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Uncontrolled Keywords: | Set theory; Set system; Question of Erdos; Mathematical techniques |

Subjects: | Q Science / természettudomány > QA Mathematics / matematika |

SWORD Depositor: | MTMT SWORD |

Depositing User: | MTMT SWORD |

Date Deposited: | 30 Jan 2015 09:08 |

Last Modified: | 30 Jan 2015 09:08 |

URI: | http://real.mtak.hu/id/eprint/21066 |

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