| Title:
|
The permanent of the Laplacian matrix of a bipartite graph (English) |
| Author:
|
Vrba, Antonín |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
7-17 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C35 |
| MSC:
|
05C50 |
| MSC:
|
15A15 |
| idZBL:
|
Zbl 0603.05029 |
| idMR:
|
MR822860 |
| DOI:
|
10.21136/CMJ.1986.102059 |
| . |
| Date available:
|
2008-06-09T15:08:07Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102059 |
| . |
| Reference:
|
[1] W. N. Anderson, T. D. Morley: Eigenvalues of the Laplacian of a graph.TR 71 - 45, University of Maryland technical report, 1971. |
| Reference:
|
[2] M. Fiedler: Algebraic connectivity of graphs.Czech. Math. J. 23 (1973), 298-305. Zbl 0265.05119, MR 0318007 |
| Reference:
|
[3] M. Fiedler: A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory.Czech. Math. J. 25 (1975), 619-633. Zbl 0437.15004, MR 0387321 |
| Reference:
|
[4] M. Fiedler: Algebraische Zusammenhangszahl und ihre numerische Bedeutung.ISNM 29, Birkhäuser, Basel 1975. MR 0432493 |
| Reference:
|
[5] M. Fiedler, J. Sedláček: On $W$-bases of directed graphs.(in Czech; Russian and German summary), Čas. pěst. mat. 83 (1958), 214-225. MR 0097071 |
| Reference:
|
[6] H. M. Trent: A note on the enumeration and listing of all possible trees in a connected linear graph.Proc. Nat. Acad. Sci. USA 40 (1954), 1004-1007. Zbl 0055.42204, MR 0067466, 10.1073/pnas.40.10.1004 |
| Reference:
|
[7] A. Vrba: Subdeterminants and subgraphs.Čas. pěst. mat. 99 (1974), 64-76. Zbl 0275.05117, MR 0351883 |
| Reference:
|
[8] R. Merris K. R. Rebman, W. Watkins: Permanental polynomials of graphs.Lin. Alg. Appl. 38 (1981), 273-288. MR 0636042, 10.1016/0024-3795(81)90026-4 |
| Reference:
|
[9] R. Merris: The Laplacian permanental polynomial for trees.Czech. Math. J. 32 (1982), 397-403. Zbl 0506.05044, MR 0669782 |
| Reference:
|
[10] H. Mine: Permanents.Addision-Wesley 1978. |
| Reference:
|
[11] M. Marcus, H. Minc: A Survey of Matrix Theory and Matrix Inequalities.Allyn and Bacon, Boston 1964. Zbl 0126.02404, MR 0162808 |
| . |
