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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
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References:
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