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Largest digraphs contained in all n-tournaments. (English) Zbl 0532.05032
Let f(n) denote the largest integer such that there exists a directed graph D with n vertices and f(n) edges that is contained in every tournament with n vertices. The authors show, among other things, that $$c_ 1n\leq n \log_ 2n-f(n)\leq c_ 2n \log \log n$$ for suitable constants $$c_ 1$$ and $$c_ 2$$.
Reviewer: J.W.Moon

##### MSC:
 05C20 Directed graphs (digraphs), tournaments 05C35 Extremal problems in graph theory
##### Keywords:
subgraphs; tournament
Full Text:
##### References:
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