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

Czechoslovak Mathematical Journal (1975)

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

## Access Full Article

top## How to cite

topFiedler, 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

top- 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)
- 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) Zbl0131.24806MR0142565
- [31 M. Fiedler, Algebraic connectivity of graphs, Czech. Math. J. 23 (98) (1973), 298-305. (1973) Zbl0265.05119MR0318007
- M. Fiedler, Eigenvectors of acyclic matrices, Czech. Math. J. 25 (100) (1975), 607-618. (1975) Zbl0325.15014MR0387308
- F. R. Gantmacher, Teorija matric, Gostechizdat, Moscow 1953, (1953)
- F. Harary, Graph Theory, Addison-Wesley, Reading, Mass., 1969. (1969) Zbl0196.27202MR0256911
- R. S. Varga, Matrix iterative analysis, Prentice Hall, 1962. (1962) MR0158502

## Citations in EuDML Documents

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

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.