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Largest family without A union B contained in C intersect D

De Bonis, Annalisa, Katona, Gyula O. H. and Swanepoel, Konrad (2005) Largest family without A union B contained in C intersect D. Journal of Combinatorial Theory, Series A, 111 (2). pp. 331-336. ISSN 0097-3165

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Abstract

Let be a family of subsets of an n-element set not containing four distinct members such that ABC∩D. It is proved that the maximum size of under this condition is equal to the sum of the two largest binomial coefficients of order n. The maximum families are also characterized. A LYM-type inequality for such families is given, too.

Item Type: Article
Official URL: http://www.elsevier.com/wps/find/journaldescriptio...
Additional Information: © 2005 Elsevier
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 09 Oct 2009 09:36
URL: http://eprints.lse.ac.uk/25417/

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