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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2412.06379 |
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| _version_ | 1866917143102095360 |
|---|---|
| author | Das, Sunil |
| author_facet | Das, Sunil |
| contents | A real matrix is said to be positive if its every entry is positive, and a real square matrix A is algebraically positive if there exists a real polynomial f such that f(A) is a positive matrix. A sign pattern matrix A is said to require a property if all matrices having sign pattern as A have that property. In this paper, we characterize all sign pattern matrices associated with cycle graphs that require algebraic positivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sign pattern matrices associated with cycle graphs that require algebraic positivity Das, Sunil Combinatorics 15B35, 15B48, 05C50 A real matrix is said to be positive if its every entry is positive, and a real square matrix A is algebraically positive if there exists a real polynomial f such that f(A) is a positive matrix. A sign pattern matrix A is said to require a property if all matrices having sign pattern as A have that property. In this paper, we characterize all sign pattern matrices associated with cycle graphs that require algebraic positivity. |
| title | Sign pattern matrices associated with cycle graphs that require algebraic positivity |
| topic | Combinatorics 15B35, 15B48, 05C50 |
| url | https://arxiv.org/abs/2412.06379 |