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Imprimitive matrices of zeros and ones with extremal numbers of ones |
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| Authors: | Bo Cheng Bolian Liu |
| Institution: | aDepartment of Mathematics and Statistics, School of Informatics, Guangdong University of Foreign Studies, Guangzhou, PR China bDepartment of Mathematics, South China Normal University, Guangzhou, PR China |
| Abstract: | In X. Zhan, Extremal numbers of positive entries of imprimitive nonnegative matrices, Linear Algebra Appl. 424 (2007) 132–138], Zhan determined the maximum and minimum numbers of positive entries of irreducible nonnegative matrices. In this paper, we characterize the irreducible (0,1) matrices with the maximum and minimum numbers of positive entries. |
| Keywords: | Matrix Quadratic form Irreducible Period |
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