Degeneracy in the Length Spectrum for Metric Graphs

نویسندگان

  • Richard Sharp
  • RICHARD SHARP
چکیده

In this note we show that the length spectrum for metric graphs exhibits a very high degree of degeneracy. More precisely, we obtain an asymptotic for the number of pairs of closed geodesics (or closed cycles) with the same metric length.

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تاریخ انتشار 2009