A new minor-closed class of transversal matroids
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915622350225408 |
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| author | Toft, Gerry |
| author_facet | Toft, Gerry |
| contents | We provide a characterisation of when a single-element contraction of a transversal matroid is itself transversal. Using this characterisation, we define a new class of transversal matroids closed under minors, which we call path-circular matroids. Path-circular matroids generalise both of the well-known classes of bicircular matroids and multi-path matroids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new minor-closed class of transversal matroids Toft, Gerry Combinatorics We provide a characterisation of when a single-element contraction of a transversal matroid is itself transversal. Using this characterisation, we define a new class of transversal matroids closed under minors, which we call path-circular matroids. Path-circular matroids generalise both of the well-known classes of bicircular matroids and multi-path matroids. |
| title | A new minor-closed class of transversal matroids |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2511.13089 |