Rank functions and invariants of delta-matroids
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913676023300096 |
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| author | Larson, Matt |
| author_facet | Larson, Matt |
| contents | In this note, we give a rank function axiomatization for delta-matroids and study the corresponding rank generating function. We relate an evaluation of the rank generating function to the number of independent sets of the delta-matroid, and we prove a log-concavity result for that evaluation using the theory of Lorentzian polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01008 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rank functions and invariants of delta-matroids Larson, Matt Combinatorics In this note, we give a rank function axiomatization for delta-matroids and study the corresponding rank generating function. We relate an evaluation of the rank generating function to the number of independent sets of the delta-matroid, and we prove a log-concavity result for that evaluation using the theory of Lorentzian polynomials. |
| title | Rank functions and invariants of delta-matroids |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2305.01008 |