On the numbers of positive entries of reducible nonnegative matrices

DOI10.1016/J.LAA.2008.07.027zbMath1157.15026OpenAlexW2032250426MaRDI QIDQ958024

Bo Cheng, Bo Lian Liu

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.027

zbMATH Keywords

nonnegative matricesimprimitivity indexreducibleassociated diagraph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• Extremal numbers of positive entries of imprimitive nonnegative matrices
• Imprimitive matrices of zeros and ones with extremal numbers of ones
• Possible numbers of positive entries of imprimitive nonnegative matrices

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