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Some intersection and union theorems for several families of finite sets

Part of: Combinatorics

Published online by Cambridge University Press:  26 February 2010

A. J. W. Hilton
A. J. W. Hilton
Affiliation:
Department of Mathematics, The University of Reading, England.
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Extract

In this paper we prove two analogues of the following theorem:

If is a collection of distinct subsets of {1, …, m} such that , i ≠ j ⇒ Ai ∩ Aj ≠ ∅, Ai ∪ Aj ≠ {1, …, m} then .

MSC classification

Secondary: 05A20: Combinatorial inequalities
Type
Research Article
Information
Mathematika , Volume 25 , Issue 1 , June 1978 , pp. 125 - 128
Copyright
Copyright © University College London 1978

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References

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