Equivariant log-concavity of graph matchings
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911570118836224 |
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| author | Li, Shiyue |
| author_facet | Li, Shiyue |
| contents | For any graph, we show that the graded permutation representation of the graph automorphism group given by matchings is strongly equivariantly log-concave. The proof gives a family of equivariant injections inspired by a combinatorial map of Kratthenthaler and reduces to the hard Lefschetz theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_08828 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Equivariant log-concavity of graph matchings Li, Shiyue Combinatorics 05E16, 05C25 For any graph, we show that the graded permutation representation of the graph automorphism group given by matchings is strongly equivariantly log-concave. The proof gives a family of equivariant injections inspired by a combinatorial map of Kratthenthaler and reduces to the hard Lefschetz theorem. |
| title | Equivariant log-concavity of graph matchings |
| topic | Combinatorics 05E16, 05C25 |
| url | https://arxiv.org/abs/2202.08828 |