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arXiv · 1011.4476

A note on some embedding problems for oriented graphs

Andrew Treglown
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Abstract

We conjecture that every oriented graph $G$ on $n$ vertices with $δ^+ (G) , δ^- (G) \geq 5n/12$ contains the square of a Hamilton cycle. We also give a conjectural bound on the minimum semidegree which ensures a perfect packing of transitive triangles in an oriented graph. A link between Ramsey numbers and perfect packings of transitive tournaments is also considered.

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Andrew Treglown. 2010-11-19. A note on some embedding problems for oriented graphs. https://arxiv.org/abs/1011.4476

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