A new class of bi-transversal matroids
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914695825326080 |
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| author | Ebrahimi, Mahdi |
| author_facet | Ebrahimi, Mahdi |
| contents | A transversal matroid whose dual is also transversal is called bi-transversal. Let $G$ be an undirected graph with vertex set $V$. In this paper, for every subset $W$ of $V$, we associate a bi-transversal matroid to the pair $(G,W)$. We also derive an explicit formula for counting bases of this matroid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new class of bi-transversal matroids Ebrahimi, Mahdi Combinatorics 05B35, 05C78, 05C20 A transversal matroid whose dual is also transversal is called bi-transversal. Let $G$ be an undirected graph with vertex set $V$. In this paper, for every subset $W$ of $V$, we associate a bi-transversal matroid to the pair $(G,W)$. We also derive an explicit formula for counting bases of this matroid. |
| title | A new class of bi-transversal matroids |
| topic | Combinatorics 05B35, 05C78, 05C20 |
| url | https://arxiv.org/abs/2402.17473 |