Two Bijections on NBC Subsets
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917749726380032 |
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| author | Fu, Houshan Peng, Baoren Wang, Suijie Yang, Jinxing |
| author_facet | Fu, Houshan Peng, Baoren Wang, Suijie Yang, Jinxing |
| contents | We establish two explicit bijections: from acyclic reorientations of an oriented matroid to no broken circuit (NBC) subsets of its underlying matroid, and from regions of a real hyperplane arrangement to its affine NBC subsets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03719 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two Bijections on NBC Subsets Fu, Houshan Peng, Baoren Wang, Suijie Yang, Jinxing Combinatorics 05B35, 52C35 We establish two explicit bijections: from acyclic reorientations of an oriented matroid to no broken circuit (NBC) subsets of its underlying matroid, and from regions of a real hyperplane arrangement to its affine NBC subsets. |
| title | Two Bijections on NBC Subsets |
| topic | Combinatorics 05B35, 52C35 |
| url | https://arxiv.org/abs/2408.03719 |