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Wireless Networking: Graph Theory Unplugged

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Graph-Theoretic Concepts in Computer Science (WG 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3353))

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Abstract

Wireless and mobile networks are an excellent playground for graph theoreticians. Many research challenges turn out to be variants of classic graph theory problems. In particular the rapidly growing areas of ad-hoc and sensor networks demand new solutions for timeless graph theory problems, because i) wireless devices have lower bandwidth and ii) wireless devices are mobile and therefore the topology of the network changes rather frequently. As a consequence, algorithms for wireless and mobile networks should have i) as little communication as possible and should ii) run as fast as possible. Both goals can only be achieved by developing algorithms requiring a small number of communication rounds only (so-called local algorithms). In this work we present a few connections between graph theory and wireless networking, such as topology control, clustering, and geo-routing. Each section is supplemented with an open problem.

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Author information

Authors and Affiliations

  1. ETH Zurich, 8092, Zurich, Switzerland

    Roger Wattenhofer

Authors
  1. Roger Wattenhofer
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Editor information

Editors and Affiliations

  1. Department of Computer Science, ETH Zurich, ETH Zentrum, CH-8022, Zurich, Switzerland

    Juraj Hromkovič

  2. Department of Computer Science, RWTH Aachen, Chair of Computer Science III, Aachen, Germany

    Manfred Nagl

  3. Department of Computer Science III, RWTH Aachen University, Ahornstra{ß}e 55, 52074, Aachen, Germany

    Bernhard Westfechtel

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© 2004 Springer-Verlag Berlin Heidelberg

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Wattenhofer, R. (2004). Wireless Networking: Graph Theory Unplugged. In: Hromkovič, J., Nagl, M., Westfechtel, B. (eds) Graph-Theoretic Concepts in Computer Science. WG 2004. Lecture Notes in Computer Science, vol 3353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30559-0_2

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  • DOI: https://doi.org/10.1007/978-3-540-30559-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24132-4

  • Online ISBN: 978-3-540-30559-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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