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Spectral Radius of Non-negative Matrices and Digraphs

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Abstract

We present an upper and a lower bound for the spectral radius of non-negative matrices. Then we give the bounds for the spectral radius of digraphs.

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, Shanghai, 200062, P. R. China

    Xiao Dong Zhang

  2. Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China

    Jiong Sheng Li

Authors
  1. Xiao Dong Zhang
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  2. Jiong Sheng Li
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Corresponding author

Correspondence to Xiao Dong Zhang.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 19971086).

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Zhang, X.D., Li, J.S. Spectral Radius of Non-negative Matrices and Digraphs. Acta Math Sinica 18, 293–300 (2002). https://doi.org/10.1007/s101140200157

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  • DOI: https://doi.org/10.1007/s101140200157

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