Multiple breaks of log-concavity in the independence polynomials of trees
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908623361277952 |
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| author | Bautista-Ramos, César |
| author_facet | Bautista-Ramos, César |
| contents | We construct infinite families of trees whose independence polynomials violate log-concavity at an arbitrary number of indices. This affirmatively answers a question of D. Galvin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiple breaks of log-concavity in the independence polynomials of trees Bautista-Ramos, César Combinatorics 05C05, 05C31, 05A15, 30C15 (Primary) 05C76, 11B83 (Secondary) We construct infinite families of trees whose independence polynomials violate log-concavity at an arbitrary number of indices. This affirmatively answers a question of D. Galvin. |
| title | Multiple breaks of log-concavity in the independence polynomials of trees |
| topic | Combinatorics 05C05, 05C31, 05A15, 30C15 (Primary) 05C76, 11B83 (Secondary) |
| url | https://arxiv.org/abs/2511.00334 |