Title
On Erdős' extremal problem on matchings in hypergraphs
Abstract
In 1965 Erdos 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 large enough.
Year
DOI
Venue
2014
10.1016/j.jcta.2014.01.003
J. Comb. Theory, Ser. A
Keywords
Field
DocType
largest matching,n vertex,n large enough,special type,k-uniform hypergraphs,extremal problem,matching,extremal graph theory,hypergraphs
Discrete mathematics,Combinatorics,Vertex (geometry),Constraint graph,3-dimensional matching,Extremal graph theory,Conjecture,Mathematics
Journal
Volume
ISSN
Citations 
124,
0097-3165
9
PageRank 
References 
Authors
0.81
5
2
Name
Order
Citations
PageRank
Tomasz Łuczak122540.26
Katarzyna Mieczkowska2201.85