The number of edge-disjoint transitive triples in a tournament

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The number of edge-disjoint transitive triples in a tournament

We prove that a tournament with n vertices has more than 0.13n(1 + o(1)) edge-disjoint transitive triples. We also prove some results on the existence of large packings of k-vertex transitive tournaments in an n-vertex tournament. Our proofs combine probabilistic arguments and some powerful packing results due to Wilson and to Frankl and Rödl.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2004

ISSN: 0012-365X

DOI: 10.1016/j.disc.2004.07.005