A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory

Miroslav Fiedler

Czechoslovak Mathematical Journal (1975)

  • Volume: 25, Issue: 4, page 619-633
  • ISSN: 0011-4642

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Fiedler, Miroslav. "A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory." Czechoslovak Mathematical Journal 25.4 (1975): 619-633. <http://eudml.org/doc/12900>.

@article{Fiedler1975,
author = {Fiedler, Miroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {eigenvectors; nonnegative symmetric matrices; application to graph theory},
language = {eng},
number = {4},
pages = {619-633},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory},
url = {http://eudml.org/doc/12900},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Fiedler, Miroslav
TI - A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
JO - Czechoslovak Mathematical Journal
PY - 1975
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 4
SP - 619
EP - 633
LA - eng
KW - eigenvectors; nonnegative symmetric matrices; application to graph theory
UR - http://eudml.org/doc/12900
ER -

References

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  1. W.N. Anderson, Jr. T. D. Morley, Eigenvalues of the Laplacian of a graph, Univ. of Maryland Tech. Rep. TR--41-45, Oct. 1971. (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. (1962) MR0142565
  3. [31 M. Fiedler, Algebraic connectivity of graphs, Czech. Math. J. 23 (98) (1973), 298-305. (1973) MR0318007
  4. M. Fiedler, Eigenvectors of acyclic matrices, Czech. Math. J. 25 (100) (1975), 607-618. (1975) Zbl0325.15014MR0387308
  5. F. R. Gantmacher, Teorija matric, Gostechizdat, Moscow 1953, (1953) 
  6. F. Harary, Graph Theory, Addison-Wesley, Reading, Mass., 1969. (1969) Zbl0196.27202MR0256911
  7. R. S. Varga, Matrix iterative analysis, Prentice Hall, 1962. (1962) MR0158502

Citations in EuDML Documents

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  1. Shi-Cai Gong, Yi-Zheng Fan, Nonsingular unicyclic mixed graphs with at most three eigenvalues greater than two
  2. Felix Goldberg, A spectral bound for graph irregularity
  3. Gary Froyland, Eric Kwok, Partitions of networks that are robust to vertex permutation dynamics
  4. Jun Zhou, Yi-Zheng Fan, Yi Wang, On the second largest eigenvalue of a mixed graph
  5. Juan Alberto Rodríguez-Velazquez, Jose Maria Sigarreta Almira, Spectral study of alliances in graphs
  6. Yi Wang, Yi-Zheng Fan, Spectral integral variation of trees
  7. Stephen J. Kirkland, Israel Rocha, Vilmar Trevisan, Algebraic connectivity of k -connected graphs
  8. Francisco Pedroche, Miguel Rebollo, Carlos Carrascosa, Alberto Palomares, On some properties of the Laplacian matrix revealed by the RCM algorithm
  9. Israel Rocha, Vilmar Trevisan, A Fiedler-like theory for the perturbed Laplacian
  10. Dario Fasino, Francesco Tudisco, Localization of dominant eigenpairs and planted communities by means of Frobenius inner products

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