Abstract | ||
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The Turan density pi(T) of a family T of r-graphs is the limit as n -> infinity co of the maximum edge density of an T-free r-graph on n vertices. Erdos [Israel J. Math 2 (1964):183-190] proved that no Turan density can lie in the open interval (0, r!Irr). Here we show that any other open subinterval of [0,1] avoiding Turan densities has strictly smaller length. In particular, this implies a conjecture of Grosu [arXiv:1403.4653, 2014]. |
Year | Venue | Keywords |
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2015 | ELECTRONIC JOURNAL OF COMBINATORICS | hypergraphs |
Field | DocType | Volume |
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Edge density,Conjecture,Mathematics | Journal | 22.0 |
Issue | ISSN | Citations |
4.0 | 1077-8926 | 1 |
PageRank | References | Authors |
0.36 | 3 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Oleg Pikhurko | 1 | 318 | 47.03 |