| Title:
|
A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory (English) |
| Author:
|
Fiedler, Miroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1975 |
| Pages:
|
619-633 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C99 |
| MSC:
|
15A48 |
| idZBL:
|
Zbl 0437.15004 |
| idMR:
|
MR0387321 |
| DOI:
|
10.21136/CMJ.1975.101357 |
| . |
| Date available:
|
2008-06-09T14:15:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101357 |
| . |
| Reference:
|
[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. |
| Reference:
|
[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 |
| Reference:
|
[31 M. Fiedler: Algebraic connectivity of graphs.Czech. Math. J. 23 (98) (1973), 298-305. MR 0318007 |
| Reference:
|
[4] M. Fiedler: Eigenvectors of acyclic matrices.Czech. Math. J. 25 (100) (1975), 607-618. Zbl 0325.15014, MR 0387308 |
| Reference:
|
[5] F. R. Gantmacher: Teorija matric.Gostechizdat, Moscow 1953, |
| Reference:
|
[6] F. Harary: Graph Theory.Addison-Wesley, Reading, Mass., 1969. Zbl 0196.27202, MR 0256911 |
| Reference:
|
[7] R. S. Varga: Matrix iterative analysis.Prentice Hall, 1962. MR 0158502 |
| . |
