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Journal of Applied Mathematics
Volume 2016, Article ID 3812736, 7 pages
Research Article

Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received 3 July 2016; Accepted 15 September 2016

Academic Editor: Ali R. Ashrafi

Copyright © 2016 Danping Huang and Lihua You. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We obtain the sharp bounds for the spectral radius of a nonnegative matrix and then obtain some known results or new results by applying these bounds to a graph or a digraph and revise and improve two known results.