On the minimum spectral radius of matrices of zeros and ones (Q1087959)
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scientific article; zbMATH DE number 3989563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the minimum spectral radius of matrices of zeros and ones |
scientific article; zbMATH DE number 3989563 |
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On the minimum spectral radius of matrices of zeros and ones (English)
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1987
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Let us consider an \(n\times n\) (0,1)-matrix having a specified number \(\tau\) of 0's. The authors determine the minimal spectral radius for such matrices. If \(\tau\leq [n/2][n/2]\) then the minimal spectral radius is determined and extremal matrices are characterized. As for other values of \(\tau\), the authors bound the minimal spectral radius between two consecutive integers.
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(0,1)-matrix
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minimal spectral radius
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