On the numbers of positive entries of reducible nonnegative matrices |
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| Authors: | Bo Cheng |
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| Affiliation: | a Department of Mathematics and Statistics, School of Informatics, Guangdong University of Foreign Studies, Guangzhou, PR China
b Department of Mathematics, South China Normal University, Guangzhou, PR China |
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| Abstract: | Let RM(n,d) be the class {A∣A is an n×n reducible nonnegative matrix and the greatest common divisor of the lengths of all cycles in D(A) is d}, where D(A) is the associated digraph of A. In this paper we determine the set of numbers of positive entries of A for A∈RM(n,d). We also characterize the reducible nonnegative matrices with the maximum and minimum numbers of positive entries. |
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| Keywords: | 15A48 05D99 |
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