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arXiv · 2306.06627

Spanning subdivisions in dense digraphs

Hyunwoo Lee
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Abstract

We prove that an $n$-vertex digraph $D$ with minimum semi-degree at least $\left(\frac{1}{2} + \varepsilon \right)n$ and $n \geq C m$ contains a subdivision of all $m$-arc digraphs without isolated vertices. Here, $C$ is a constant only depending on $\varepsilon.$ This is the best possible and settles a conjecture raised by Pavez-Signé in a stronger form.

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Hyunwoo Lee. 2025-03-26. Spanning subdivisions in dense digraphs. https://arxiv.org/abs/2306.06627

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