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The Maximum Size of 3-Uniform Hypergraphs Not Containing a Fano Plane

✍ Scribed by Dominique De Caen; Zoltán Füredi


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
73 KB
Volume
78
Category
Article
ISSN
0095-8956

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✦ Synopsis


A conjecture of V. So s [3] is proved that any set of 3 4 ( n 3 )+cn 2 triples from an n-set, where c is a suitable absolute constant, must contain a copy of the Fano configuration (the projective plane of order two). This is an asymptotically sharp estimate.