The number of edge disjoint transitive triples in a tournament
Abstract
We prove that a tournament with n vertices has more than 0.13n2(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 R\"odl.
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