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. Yi-Zheng Fan, On eigenvectors of mixed graphs with exactly one nonsingular cycle
  8. Stephen J. Kirkland, Israel Rocha, Vilmar Trevisan, Algebraic connectivity of k -connected graphs
  9. Francisco Pedroche, Miguel Rebollo, Carlos Carrascosa, Alberto Palomares, On some properties of the Laplacian matrix revealed by the RCM algorithm
  10. Dario Fasino, Francesco Tudisco, Localization of dominant eigenpairs and planted communities by means of Frobenius inner products

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