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Local Routing on Tori

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Ad-Hoc, Mobile, and Wireless Networks (ADHOC-NOW 2007)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 4686))

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Abstract

We show that face routing, the well-known local routing algorithm for plane graphs introduced by Kranakis and Urrutia, does not in fact succeed for embedded graphs on the torus or higher genus surfaces (contrary to conjecture). We then describe a generalization of face routing, and prove that this algorithm does provide a local routing algorithm for arbitrary graphs embedded in the torus. Finally we discuss extension of this type of algorithm to surfaces of genus g, describing the problems encountered in this setting.

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References

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Authors and Affiliations

  1. University of Colima, Facultad de Ciencias, C.P. 28045, Colima, Col, México

    Maia Fraser

Authors
  1. Maia Fraser
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Evangelos Kranakis Jaroslav Opatrny

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© 2007 Springer-Verlag Berlin Heidelberg

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Fraser, M. (2007). Local Routing on Tori. In: Kranakis, E., Opatrny, J. (eds) Ad-Hoc, Mobile, and Wireless Networks. ADHOC-NOW 2007. Lecture Notes in Computer Science, vol 4686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74823-6_1

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  • DOI: https://doi.org/10.1007/978-3-540-74823-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74822-9

  • Online ISBN: 978-3-540-74823-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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