Heritability of Kőnig's Property from finite edge sets
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917698287435776 |
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| author | Kaufmann, Marc van der Zypen, Dominic |
| author_facet | Kaufmann, Marc van der Zypen, Dominic |
| contents | A hypergraph $H = (V,E)$ is said to have Kőnig's Property if there is a matching $M\subseteq E$ and $S\subseteq V$ such that $|S \cap e| = 1$ for all $e\in M$, and $S$ is a vertex cover of $H$. Aharoni posed the question whether Kőnig's Property is inheritable from finite subsets of $E$. We provide a negative answer and investigate similar questions for weaker properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Heritability of Kőnig's Property from finite edge sets Kaufmann, Marc van der Zypen, Dominic Combinatorics Logic 05C15, 05C83 A hypergraph $H = (V,E)$ is said to have Kőnig's Property if there is a matching $M\subseteq E$ and $S\subseteq V$ such that $|S \cap e| = 1$ for all $e\in M$, and $S$ is a vertex cover of $H$. Aharoni posed the question whether Kőnig's Property is inheritable from finite subsets of $E$. We provide a negative answer and investigate similar questions for weaker properties. |
| title | Heritability of Kőnig's Property from finite edge sets |
| topic | Combinatorics Logic 05C15, 05C83 |
| url | https://arxiv.org/abs/2406.12540 |