Generalized tournament matrices with the same principal minors
| Autor: | Boussaïri, Abderrahim, Chaïchaâ, Abdelhak, Chergui, Brahim, Lakhlifi, Soufiane |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1080/03081087.2021.1917500 |
| Popis: | A generalized tournament matrix $M$ is a nonnegative matrix that satisfies $M+M^{t}=J-I$, where $J$ is the all ones matrix and $I$ is the identity matrix. In this paper, a characterization of generalized tournament matrices with the same principal minors of orders $2$, $3$, and $4$ is given. In particular, it is proven that the principal minors of orders $2$, $3$, and $4$ determine the rest of the principal minors. |
| Databáze: | arXiv |
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