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A note on the union-closed sets conjecture

Published:1994-10 Issue:2 Volume:57 Page:230-236
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Faro Giovanni Lo

Abstract

AbstractIt has been conjectured that for any union-closed set there exists some element which is contained in at least half the sets in . It is shown that this conjecture is true if the number of sets in is less than 25. Several conditions on a counterexample are also obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference6 articles.

1. On the union-closed sets conjecture;Sarvate;Ars Combin.,1989

2. Is the Union-closed sets conjecture the best possible?

3. [2] Norton R. M. and Sarvate D. G. , ‘Union-closed sets conjecture; some observations’, unpublished manuscript, College of Charleston, 1989.

4. A much travelled conjecture;Austral. Math. Soc. Gaz.,1987

5. Union-closed sets conjecture;Winkler;Austral. Math. Soc. Gaz.,1987

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Union-closed families of sets;Journal of Combinatorial Theory, Series A;2013-04

2. On the Scope of Averaging for Frankl’s Conjecture;Order;2009-01-17

3. Union-closed families of sets;Discrete Mathematics;1999-03

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