Is the Union-closed sets conjecture the best possible?-Reference-Cited by-同舟云学术

Is the Union-closed sets conjecture the best possible?

Published:1991-10 Issue:2 Volume:51 Page:276-283
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:

Renaud J. C.

Abstract

AbstractA slightly strengthened version of the union-closed sets conjecture is proposed. It is shown that this version holds for a minimum set size of one or two and an examination of a boundary function shows that it holds for collections containing up to 19 sets. Some related conjectures are outlined.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference5 articles.

1. [2] Norton R. M. and Sarvate D. G. , ‘Union-closed sets conjecture: some observations’, (manuscript, College of Charleston, 09 1989).

2. Improved bounds for the union-closed sets conjecture;Sarvate;Ars Combin.,1990

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

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

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

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