Matroid colorings of KKM covers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912096823803904 |
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| author | McGinnis, Daniel |
| author_facet | McGinnis, Daniel |
| contents | We prove a KKM-type theorem for matroid colored families of set coverings of a polytope. This generalizes Gale's colorful KKM theorem as well as recent sparse-colorful variants by Soberón, and McGinnis and Zerbib. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03026 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Matroid colorings of KKM covers McGinnis, Daniel Combinatorics 52B40, 54H25, 91B32 We prove a KKM-type theorem for matroid colored families of set coverings of a polytope. This generalizes Gale's colorful KKM theorem as well as recent sparse-colorful variants by Soberón, and McGinnis and Zerbib. |
| title | Matroid colorings of KKM covers |
| topic | Combinatorics 52B40, 54H25, 91B32 |
| url | https://arxiv.org/abs/2409.03026 |