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Cayley graphs and planar isospectral domains

Part of the Lecture Notes in Mathematics book series (LNM,volume 1339)

Keywords

  • Finite Group
  • Boundary Component
  • Cayley Graph
  • Closed Geodesic
  • Riemannian Metrics

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References

  1. Brooks, R. and Tse, R., Isospectral surfaces of small genus, Nagoya Math. J., 107 (1987), 13–24.

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  2. Buser, P., Isospectral Riemann surfaces, Ann. Inst. Fourier, Grenoble, 36 (1986), 167–192.

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  3. Grossmann, I. and Magnus, W., Groups and their graphs, The Mathematical Association of America, 14, 1964.

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  4. Perlis, R., On the equations ≀k(s)=≀k'(s), Journal of Number Theory, 9 (1977), 342–360.

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  5. Sunada, T., Riemannian coverings and isospectral manifolds, Annals of Mathematics, 121 (1985), 169–186.

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  6. Weinstein, M., Examples of Groups, Polygonal Publishing House, 1977.

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© 1988 Springer-Verlag

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Buser, P. (1988). Cayley graphs and planar isospectral domains. In: Sunada, T. (eds) Geometry and Analysis on Manifolds. Lecture Notes in Mathematics, vol 1339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083047

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  • DOI: https://doi.org/10.1007/BFb0083047

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50113-8

  • Online ISBN: 978-3-540-45930-9

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