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Discrete Mathematics
Volume 53, March 1985, Pages 55-56
 
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doi:10.1016/0012-365X(85)90128-1    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1985 Published by Elsevier Science B.V.

A construction for large families of k-element sets having the Erdös intersection property

Richard Dean

Mathematics Department, California Institute of Technology, Pasadena, CA 91125, U.S.A.

Available online 10 January 2003.

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Résumé

Kleitman, Shearer et Sturtevant ont étudié le problème de trouver l'entier maximum m pour lequel il existe une famille de m ensembles A1, …, Am, tous à k éléments, satisfaisant la propriété d'intersection d'Erdös: ApAqnot a subset ofr, des p,q, r sont distincts. Nous donnons une construction montrant que: log m=√2k+O(1).

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Discrete Mathematics
Volume 53, March 1985, Pages 55-56
 
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