Multiplicités des valeurs propres et transformations étoile-triangle des graphes

Roland Bacher; Yves Colin de Verdière

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 4, page 517-533
  • ISSN: 0037-9484

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Bacher, Roland, and Colin de Verdière, Yves. "Multiplicités des valeurs propres et transformations étoile-triangle des graphes." Bulletin de la Société Mathématique de France 123.4 (1995): 517-533. <http://eudml.org/doc/87727>.

@article{Bacher1995,
author = {Bacher, Roland, Colin de Verdière, Yves},
journal = {Bulletin de la Société Mathématique de France},
keywords = {eigenvalues; star-triangle transformations; 5-critical graphs; planar graphs},
language = {fre},
number = {4},
pages = {517-533},
publisher = {Société mathématique de France},
title = {Multiplicités des valeurs propres et transformations étoile-triangle des graphes},
url = {http://eudml.org/doc/87727},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Bacher, Roland
AU - Colin de Verdière, Yves
TI - Multiplicités des valeurs propres et transformations étoile-triangle des graphes
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 4
SP - 517
EP - 533
LA - fre
KW - eigenvalues; star-triangle transformations; 5-critical graphs; planar graphs
UR - http://eudml.org/doc/87727
ER -

References

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  1. [Bo] BOLLOBAS (B.). — Introduction to graph theory. - Springer, 1979. Zbl0411.05032MR80j:05053
  2. [CMM] CURTIS (E.), MOOERS (E.) and MORROW (J.). — Finding the conductors in circular networks from boundary measurements, Preprint, Washington, 1991, p. 1-31. 
  3. [CoV] COLBOIS (B.) et COLIN DE VERDIÈRE (Y.). — Sur la multiplicité de la première valeur propre d'une surface de Riemann à courbure constante, Comment. Math. Helv., t. 63, 1988, p. 194-208. Zbl0656.53043MR90c:58182
  4. [CV1] COLIN DE VERDIÈRE (Y.). — Sur un nouvel invariant des graphes et un critère de planarité, J. Combin. Theory Ser. B, t. 50, 1990, p. 11-20. Zbl0742.05061MR91m:05068
  5. [CV2] COLIN DE VERDIÈRE (Y.). — Réseaux éléctriques planaires I, Comment. Math. Helv., t. 69, 1994, p. 351-374. Zbl0816.05052MR96k:05131
  6. [CV3] COLIN DE VERDIÈRE (Y.). — Multiplicités des valeurs propres: laplaciens discrets et laplaciens continus (survey), Rend. Mat. (7), t. 13, 1993, p. 433-460. Zbl0802.58060MR96a:35128
  7. [E] EPIFANOV (G.V.). — Reduction of a plane graph to an edge by a star-triangle transformation, Soviet Math. Dokl., t. 7, 1966, p. 13-17. Zbl0149.21301
  8. [Gr] GRÜNBAUM (B.). — Convex Polytopes. - Interscience Publishers, London, 1967. Zbl0163.16603
  9. [RST1] ROBERTSON (N.), SEYMOUR (P.) and THOMAS (R.). — A survey of linkless embeddings, Preprint, 1991, p. 1-15. 
  10. [RST2] ROBERTSON (N.), SEYMOUR (P.) and THOMAS (R.). — Linkless embeddings of graphs in 3-space, Bull. Amer. Math. Soc., t. 28, 1993, p. 84-89. Zbl0769.05034MR93f:57006
  11. [vHLS] VAN DER HOLST (H.), LOVASZ (L.) and SCHRIJVER (A.). — Clique minors, graph connectivity, and Colin de Verdière's invariant, Prépublication, 1994, p. 1-11. 

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