Delta-matroids whose twist polynomials are monomials
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916184464556032 |
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| author | Yuschak, Daniel |
| author_facet | Yuschak, Daniel |
| contents | The twist polynomial of a delta-matroid was recently introduced by Yan and Jin, who proved a characterization of binary delta-matroids with twist monomials. In this paper, we extend this result to all delta-matroids by proving that any delta-matroid with a twist monomial must be binary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_13258 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Delta-matroids whose twist polynomials are monomials Yuschak, Daniel Combinatorics 05B35, 05C31 The twist polynomial of a delta-matroid was recently introduced by Yan and Jin, who proved a characterization of binary delta-matroids with twist monomials. In this paper, we extend this result to all delta-matroids by proving that any delta-matroid with a twist monomial must be binary. |
| title | Delta-matroids whose twist polynomials are monomials |
| topic | Combinatorics 05B35, 05C31 |
| url | https://arxiv.org/abs/2208.13258 |