Symmetric and unimodal independence polynomials of trees
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914494150606848 |
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| author | Hibi, Takayuki Kara, Selvi Vien, Dalena |
| author_facet | Hibi, Takayuki Kara, Selvi Vien, Dalena |
| contents | Given $n \geq 1$, we study the existence of a tree on $n$ vertices whose independence polynomial is symmetric and unimodal as well as the existence of a symmetric and unimodal independence polynomial of degree $n$ of a tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18824 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetric and unimodal independence polynomials of trees Hibi, Takayuki Kara, Selvi Vien, Dalena Combinatorics 05C30, 05C31 Given $n \geq 1$, we study the existence of a tree on $n$ vertices whose independence polynomial is symmetric and unimodal as well as the existence of a symmetric and unimodal independence polynomial of degree $n$ of a tree. |
| title | Symmetric and unimodal independence polynomials of trees |
| topic | Combinatorics 05C30, 05C31 |
| url | https://arxiv.org/abs/2604.18824 |