Spanning subdivisions in dense digraphs
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915213378322432 |
|---|---|
| author | Lee, Hyunwoo |
| author_facet | Lee, Hyunwoo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_06627 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spanning subdivisions in dense digraphs Lee, Hyunwoo Combinatorics 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. |
| title | Spanning subdivisions in dense digraphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2306.06627 |