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Token Traversal in Ad Hoc Wireless Networks via Implicit Carrier Sensing

  • Tomasz Jurdzinski
  • Michal Rozanski
  • Grzegorz Stachowiak
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10641)

Abstract

Communication problems in ad hoc wireless networks have been already widely studied under the SINR model, but a vast majority of results concern networks with constraints on connectivity, so called strongly-connected networks. What happens if the network is not strongly-connected, e.g., it contains some long but still viable “shortcut links” connecting transmission boundaries? Even a single broadcast in such ad hoc weakly-connected networks with uniform transmission powers requires \(\varOmega (n)\) communication rounds, where n is the number of nodes in the network. The best up-to-date (randomized) distributed algorithm, designed by Daum et al. [10], accomplishes broadcast task in \(O(n\log ^2n)\). In this work we show a novel deterministic distributed implementation of token traversal in the SINR model with uniform transmission powers and no restriction on connectivity. We show that it is efficient even in a very harsh model of weakly-connected networks without GPS, carrier sensing and other helping features. We apply this method to span a traversal tree and accomplish broadcast in \(O(n\log N)\) communication rounds, deterministically, provided nodes are equipped with unique IDs in the range [1, N] for \(N\ge n\). This result implies an \(O(n\log n)\)-round randomized solution that does not require IDs, which improves the result from [10]. The lower bound \(\varOmega (n\log N)\) for deterministic algorithms proved in our work shows that our result is tight without randomization. Our implementation of token traversal routine is based on a novel implicit algorithmic carrier sensing method and a new type of selectors, which might be of independent interest.

Keywords

Wireless ad hoc networks SINR Token traversal Broadcast Deterministic and randomized algorithms Algorithmic carrier sensing Selectors BTD trees 

Notes

Acknowledgments

The authors would like to thank Darek Kowalski for fruitful discussions and his comments on the paper.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Tomasz Jurdzinski
    • 1
  • Michal Rozanski
    • 1
  • Grzegorz Stachowiak
    • 1
  1. 1.Institute of Computer ScienceUniversity of WrocławWrocławPoland

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