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On Erdős' extremal problem on matchings in hypergraphs.

Authors :
Łuczak, Tomasz
Mieczkowska, Katarzyna
Source :
Journal of Combinatorial Theory - Series A. May2014, Vol. 124, p178-194. 17p.
Publication Year :
2014

Abstract

Abstract: In 1965 Erdős 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 and n large enough. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00973165
Volume :
124
Database :
Academic Search Index
Journal :
Journal of Combinatorial Theory - Series A
Publication Type :
Academic Journal
Accession number :
94870352
Full Text :
https://doi.org/10.1016/j.jcta.2014.01.003