References
M. Marcus and H. Minc,A Survey of Matrix Theory and Matrix Inequalities, Allyn and Bacon, Inc., Boston, Mass. (1964).
F. R. Gantmakher,Matrix Theory [in Russian], Nauka, Moscow (1967).
R. A. Horn and C. R. Johnson,Matrix Analysis, Cambridge University Press, Cambridge-New York (1985).
H. Christophides,Graph Theory. An Algorithmic Approach, Academic Press, New York-London (1975).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 58, No. 4, pp. 635–637, October, 1995.
The paper is partially supported by the Russian Foundation for Basic Research (grant No. 93-011-16004).
Rights and permissions
About this article
Cite this article
Al'pin, Y.A. Bounds for the Perron root of a nonnegative matrix involving the properties of its graph. Math Notes 58, 1121–1123 (1995). https://doi.org/10.1007/BF02305101
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02305101