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The Cover Time of Deterministic Random Walks

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Computing and Combinatorics (COCOON 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6196))

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Abstract

The rotor router model is a popular deterministic analogue of a random walk on a graph. Instead of moving to a random neighbor, the neighbors are served in a fixed order. We examine how fast this “deterministic random walk” covers all vertices (or all edges). We present general techniques to derive upper bounds for the vertex and edge cover time and derive matching lower bounds for several important graph classes. Depending on the topology, the deterministic random walk can be asymptotically faster, slower or equally fast compared to the classical random walk.

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für Informatik, Campus E1.4, 66123, Saarbrücken, Germany

    Tobias Friedrich

  2. Simon Fraser University, Burnaby, B.C., V5A 1S6, Canada

    Thomas Sauerwald

Authors
  1. Tobias Friedrich
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  2. Thomas Sauerwald
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Editor information

Editors and Affiliations

  1. University of Florida, CSE Building, Room 566, P.O. Box 116120, 32611-6120, Gainesville, Florida, USA

    My T. Thai

  2. Department of Computer and Information Science and Technology, University of Florida, P.O. Box, USA

    Sartaj Sahni

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Friedrich, T., Sauerwald, T. (2010). The Cover Time of Deterministic Random Walks. In: Thai, M.T., Sahni, S. (eds) Computing and Combinatorics. COCOON 2010. Lecture Notes in Computer Science, vol 6196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14031-0_16

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  • DOI: https://doi.org/10.1007/978-3-642-14031-0_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14030-3

  • Online ISBN: 978-3-642-14031-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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