The permanent of the Laplacian matrix of a bipartite graph

Antonín Vrba

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 1, page 7-17
  • ISSN: 0011-4642

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Vrba, Antonín. "The permanent of the Laplacian matrix of a bipartite graph." Czechoslovak Mathematical Journal 36.1 (1986): 7-17. <http://eudml.org/doc/13550>.

@article{Vrba1986,
author = {Vrba, Antonín},
journal = {Czechoslovak Mathematical Journal},
keywords = {permanent; Laplacian matrix; bipartite graph},
language = {eng},
number = {1},
pages = {7-17},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The permanent of the Laplacian matrix of a bipartite graph},
url = {http://eudml.org/doc/13550},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Vrba, Antonín
TI - The permanent of the Laplacian matrix of a bipartite graph
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 1
SP - 7
EP - 17
LA - eng
KW - permanent; Laplacian matrix; bipartite graph
UR - http://eudml.org/doc/13550
ER -

References

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  1. W. N. Anderson, T. D. Morley, Eigenvalues of the Laplacian of a graph, TR 71 - 45, University of Maryland technical report, 1971. (1971) 
  2. M. Fiedler, Algebraic connectivity of graphs, Czech. Math. J. 23 (1973), 298-305. (1973) Zbl0265.05119MR0318007
  3. M. Fiedler, A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory, Czech. Math. J. 25 (1975), 619-633. (1975) Zbl0437.15004MR0387321
  4. M. Fiedler, Algebraische Zusammenhangszahl und ihre numerische Bedeutung, ISNM 29, Birkhäuser, Basel 1975. (1975) MR0432493
  5. M. Fiedler, J. Sedláček, On W -bases of directed graphs, (in Czech; Russian and German summary), Čas. pěst. mat. 83 (1958), 214-225. (1958) MR0097071
  6. H. M. Trent, 10.1073/pnas.40.10.1004, Proc. Nat. Acad. Sci. USA 40 (1954), 1004-1007. (1954) Zbl0055.42204MR0067466DOI10.1073/pnas.40.10.1004
  7. A. Vrba, Subdeterminants and subgraphs, Čas. pěst. mat. 99 (1974), 64-76. (1974) Zbl0275.05117MR0351883
  8. R. Merris K. R. Rebman, W. Watkins, 10.1016/0024-3795(81)90026-4, Lin. Alg. Appl. 38 (1981), 273-288. (1981) MR0636042DOI10.1016/0024-3795(81)90026-4
  9. R. Merris, The Laplacian permanental polynomial for trees, Czech. Math. J. 32 (1982), 397-403. (1982) Zbl0506.05044MR0669782
  10. H. Mine, Permanents, Addision-Wesley 1978. (1978) 
  11. M. Marcus, H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Allyn and Bacon, Boston 1964. (1964) Zbl0126.02404MR0162808

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