Finite matchability under the matroidal Hall's condition
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913261351337984 |
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| author | Joó, Attila |
| author_facet | Joó, Attila |
| contents | Aharoni and Ziv conjectured that if $ M $ and $ N $ are finitary matroids on $ E $, then a certain ``Hall-like'' condition is sufficient to guarantee the existence of an $ M $-independent spanning set of $ N $. We show that their condition ensures that every finite subset of $ E $ is $ N $-spanned by an $ M $-independent set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_12803 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite matchability under the matroidal Hall's condition Joó, Attila Combinatorics Aharoni and Ziv conjectured that if $ M $ and $ N $ are finitary matroids on $ E $, then a certain ``Hall-like'' condition is sufficient to guarantee the existence of an $ M $-independent spanning set of $ N $. We show that their condition ensures that every finite subset of $ E $ is $ N $-spanned by an $ M $-independent set. |
| title | Finite matchability under the matroidal Hall's condition |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2305.12803 |