On Erdos' extremal problem on matchings in hypergraphs

Published 19 Feb 2012 in math.CO | (1202.4196v1)

Abstract: In 1965 Erd\H{o}s conjectured that the number of edges in k-uniform hypergraphs on n vertices in which the largest matching has s edges is maximized for hypergraphs of one of two special types. We settled this conjecture in the affirmative for k=3 and n is large enough.

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