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Sur la contractibilité d'un graphe orienté en K4
Authors:Pierre Duchet and Viktor Kaneti
Affiliation:

CNRS (IMAG) Université Joseph Fourier, Grenoble Cedex, France

Abstract:We prove that every directed graph with n vertices at least 5n–8 arcs admits the complete symmetric digraph of order 4 as a minor. The result is sharp. This answers a question raised by Meyniel (1983). We conclude with some open problems.
Keywords:
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