Immersion of transitive tournaments in digraphs with large minimum outdegree - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Journal of Combinatorial Theory, Series B Year : 2019

Immersion of transitive tournaments in digraphs with large minimum outdegree

Abstract

We prove the existence of a function $h(k)$ such that every simple digraph with minimum outdegree greater than $h(k)$ contains an immersion of the transitive tournament on k vertices. This solves a conjecture of Devos, McDonald, Mohar and Scheide.
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Dates and versions

hal-01835124 , version 1 (16-07-2018)

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Cite

William Lochet. Immersion of transitive tournaments in digraphs with large minimum outdegree. Journal of Combinatorial Theory, Series B, 2019, 134, pp.350-353. ⟨10.1016/j.jctb.2018.05.004⟩. ⟨hal-01835124⟩
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