Isospectral graphs and isospectral surfaces

Robert Brooks

Séminaire de théorie spectrale et géométrie (1996-1997)

  • Volume: 15, page 105-113
  • ISSN: 1624-5458

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Brooks, Robert. "Isospectral graphs and isospectral surfaces." Séminaire de théorie spectrale et géométrie 15 (1996-1997): 105-113. <http://eudml.org/doc/114399>.

@article{Brooks1996-1997,
author = {Brooks, Robert},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Laplacian; isospectral surfaces; isospectral graphs; Riemannian surfaces; spectral theory of graphs; isospectrality},
language = {eng},
pages = {105-113},
publisher = {Institut Fourier},
title = {Isospectral graphs and isospectral surfaces},
url = {http://eudml.org/doc/114399},
volume = {15},
year = {1996-1997},
}

TY - JOUR
AU - Brooks, Robert
TI - Isospectral graphs and isospectral surfaces
JO - Séminaire de théorie spectrale et géométrie
PY - 1996-1997
PB - Institut Fourier
VL - 15
SP - 105
EP - 113
LA - eng
KW - Laplacian; isospectral surfaces; isospectral graphs; Riemannian surfaces; spectral theory of graphs; isospectrality
UR - http://eudml.org/doc/114399
ER -

References

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  1. [AG] D. Angluin and A. Gardiner, " Finite Common Coverings of Pairs of Graphs," J. Comb. Theory B 30 ( 1981), pp. 184-187. Zbl0426.05044MR615312
  2. [TS] R. Brooks, " Twist Surfaces," to appear Proc. Cortona Conf. Zbl0947.30032MR1802427
  3. [BGG] R. Brooks, R. Gornet, and W. Gustafson, " Mutually Isospectral Riemann Surfaces," to appear Adv. Math. Zbl0997.53031MR1645582
  4. [BL] R. Brooks and A. Lubotzky, " Non-Sunada Graphs," preprint. MR1697378
  5. [CDGT] D. Cvetkovic, M. Doob, I. Gutman, and A. Targasev, Recent Results in the Theory of Graph Spectra, Ann. Disc. Math. 36, North Holland, 1988. Zbl0634.05054MR926481
  6. [GM] C. Godsil and B. McKay, " Constructing Cospectral Graphs," Aeq. Math. 25 ( 1982), pp. 257-268. Zbl0527.05051MR730486
  7. [GW] C. Gordon and E. Wilson, " Isospectral Deformations of Compact Solvmanifolds," J. Diff. Geom. 19 ( 1984), pp. 241-256. Zbl0523.58043MR739790
  8. [Le] F. Leighton, " Finite Common Coverings of Graphs," J. Comb. Th. B 33 ( 1982), pp. 231-238. Zbl0488.05033MR693362
  9. [Qu] G. Quenell, " The Combinatorics of Seidel Switching," preprint. 
  10. [Pe1] H. Pesce, " Une réciproque Générique du Théoreème du Sunada," to appear in Compositio Math. MR1485923
  11. [Pe2] H. Pesce, " Quelques Applications de la Théorie des Représentations en Géométrie Spectrale," Habilitation, Université Joseph Fourier (Grenoble I) 
  12. [Pe3] H. Pesce, " Vari/'et/'es Isospectrales et Reprsentations des Groupes," in Brooks, Gordon, and Perry (eds), Geometry of the Spectrum, Contemp. Math. 173 ( 1994), pp. 231-240. Zbl0814.58041MR1298208
  13. [Su] T. Sunada, " Riemannian Coverings and Isospectral Manifolds," Ann. Math. 121 ( 1985), pp. 169-186. Zbl0585.58047MR782558

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