The number of edges in critical strongly connected graphs

Details The number of edges in critical strongly connected graphs The number of edges in critical strongly connected graphs

1999-11-16

arxiv.org/abs/math/9911113v2

Mathematics

Combinatorics

5 pages, no figures, given at the Eleventh Haifa Matrix Theory Conference 26.5.1999 Accepted at Discrete Math. v1 is the submi

Scientific paper

We prove that the maximal number of directed edges in a vertex-critical
strongly connected simple digraph on n vertices is n(n-1)/2 - n +4.

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