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Fiedler, Miroslav
A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 4, pp. 619-633
MSC: 05C99, 15A48 | MR 0387321 | Zbl 0437.15004 | DOI: 10.21136/CMJ.1975.101357
References:
[I] W.N. Anderson, Jr. T. D. Morley: Eigenvalues of the Laplacian of a graph. Univ. of Maryland Tech. Rep. TR--41-45, Oct. 1971.
[2] M. Fiedler V. Pták: On matrices with non-positive off-diagonal elements and positive principal minors. Czech. Math. J. 22 (87) (1962), 382-400. MR 0142565
[31 M. Fiedler: Algebraic connectivity of graphs. Czech. Math. J. 23 (98) (1973), 298-305. MR 0318007
[4] M. Fiedler: Eigenvectors of acyclic matrices. Czech. Math. J. 25 (100) (1975), 607-618. MR 0387308 | Zbl 0325.15014
[5] F. R. Gantmacher: Teorija matric. Gostechizdat, Moscow 1953,
[6] F. Harary: Graph Theory. Addison-Wesley, Reading, Mass., 1969. MR 0256911 | Zbl 0196.27202
[7] R. S. Varga: Matrix iterative analysis. Prentice Hall, 1962. MR 0158502
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