A Nearly Finitary Matroid that is not $k$-Nearly Finitary
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929623286153216 |
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| author | Tam, Patrick |
| author_facet | Tam, Patrick |
| contents | The class of $k$-nearly finitary matroids for some natural number $k$ is a subclass of the class of nearly finitary matroids. A natural question is whether this inclusion is proper. We answer this question affirmatively by constructing a nearly finitary matroid that is not $k$-nearly finitary for any $k \in \mathbb{N}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04721 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Nearly Finitary Matroid that is not $k$-Nearly Finitary Tam, Patrick Combinatorics The class of $k$-nearly finitary matroids for some natural number $k$ is a subclass of the class of nearly finitary matroids. A natural question is whether this inclusion is proper. We answer this question affirmatively by constructing a nearly finitary matroid that is not $k$-nearly finitary for any $k \in \mathbb{N}$. |
| title | A Nearly Finitary Matroid that is not $k$-Nearly Finitary |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2404.04721 |