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On the Maximum Number of Edges in a Triple System Not Containing a Disjoint Family of a Given Size

Published online by Cambridge University Press:  02 February 2012

PETER FRANKL ,
VOJTECH RÖDL  and
ANDRZEJ RUCIŃSKI
PETER FRANKL
Affiliation:
3-12-25 Shibuya, Shibuya-ku, Tokyo 150-0002, Japan (e-mail: peter.frankl@gmail.com)
VOJTECH RÖDL
Affiliation:
Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA (e-mail: rodl@mathcs.emory.edu)
ANDRZEJ RUCIŃSKI
Affiliation:
Department of Discrete Mathematics, Adam Mickiewicz University, Poznań, Poland 61-614 (e-mail: rucinski@amu.edu.pl)
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Abstract

In 1965 Erdős conjectured a formula for the maximum number of edges in a k-uniform n-vertex hypergraph without a matching of size s. We prove this conjecture for k = 3 and all s ≥ 1 and n ≥ 4s.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 21 , Issue 1-2: Honouring the Memory of Richard H. Schelp , March 2012 , pp. 141 - 148
Copyright
Copyright © Cambridge University Press 2012

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References

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