A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
Czechoslovak Mathematical Journal, Tome 25 (1975) no. 4, pp. 619-633
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DOI : 10.21136/CMJ.1975.101357
Classification : 05C99, 15A48
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Fiedler, Miroslav. A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czechoslovak Mathematical Journal, Tome 25 (1975) no. 4, pp. 619-633. doi: 10.21136/CMJ.1975.101357

[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

[31 M. Fiedler: Algebraic connectivity of graphs. Czech. Math. J. 23 (98) (1973), 298-305. | MR

[4] M. Fiedler: Eigenvectors of acyclic matrices. Czech. Math. J. 25 (100) (1975), 607-618. | MR | Zbl

[5] F. R. Gantmacher: Teorija matric. Gostechizdat, Moscow 1953,

[6] F. Harary: Graph Theory. Addison-Wesley, Reading, Mass., 1969. | MR | Zbl

[7] R. S. Varga: Matrix iterative analysis. Prentice Hall, 1962. | MR

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