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Degeneracy in the length spectrum for metric graphs
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Sharp, Richard (2010) Degeneracy in the length spectrum for metric graphs. Geometriae Dedicata, Vol.149 (No.1). pp. 177-188. doi:10.1007/s10711-010-9475-x ISSN 0046-5755.
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Official URL: http://dx.doi.org/10.1007/s10711-010-9475-x
Abstract
n 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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Geometriae Dedicata | ||||
Publisher: | Springer | ||||
ISSN: | 0046-5755 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.149 | ||||
Number: | No.1 | ||||
Page Range: | pp. 177-188 | ||||
DOI: | 10.1007/s10711-010-9475-x | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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