Symmetric and skew-symmetric {0, ±1} - matrices with large determinants
We show that the existence of {±}-matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular, we prove a recent conjecture of Armario. We also show that large submatrices of conference matrices are determined by their spectrum.
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| Main Authors: | , |
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| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2020
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/144977 |
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| 機構: | Nanyang Technological University |
| 語言: | English |