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arXiv · 1906.07648

Transitive tournament tilings in oriented graphs with large minimum total degree

Louis DeBiasio·Allan Lo·Theodore Molla·Andrew Treglown
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Abstract

Let $\vec{T}_k$ be the transitive tournament on $k$ vertices. We show that every oriented graph on $n=4m$ vertices with minimum total degree $(11/12+o(1))n$ can be partitioned into vertex disjoint $\vec{T}_4$'s, and this bound is asymptotically tight. We also improve the best known bound on the minimum total degree for partitioning oriented graphs into vertex disjoint $\vec{T}_k$'s.

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Louis DeBiasio, Allan Lo, Theodore Molla, Andrew Treglown. 2020-05-27. Transitive tournament tilings in oriented graphs with large minimum total degree. https://arxiv.org/abs/1906.07648

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