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Near-Shortest Path Routing in Hybrid Communication Networks

Authors Sam Coy, Artur Czumaj, Michael Feldmann, Kristian Hinnenthal, Fabian Kuhn, Christian Scheideler, Philipp Schneider, Martijn Struijs

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Document Identifiers

Author Details

Sam Coy
  • University of Warwick, Coventry, UK
Artur Czumaj
  • University of Warwick, Coventry, UK
Michael Feldmann
  • Paderborn University, Germany
Kristian Hinnenthal
  • Paderborn University, Germany
Fabian Kuhn
  • University of Freiburg, Germany
Christian Scheideler
  • Paderborn University, Germany
Philipp Schneider
  • University of Freiburg, Germany
Martijn Struijs
  • TU Eindhoven, The Netherlands

Funding

  • Coy, Sam: Supported by the Centre for Discrete Mathematics and its Applications (DIMAP) and by an EPSRC studentship.
  • Czumaj, Artur: Supported by the Centre for Discrete Mathematics and its Applications (DIMAP), by EPSRC award EP/V01305X/1, and by an IBM Award.
  • Scheideler, Christian: Supported by the German Research Foundation (DFG) within the Collaborative Research Center 901 ”On-The-Fly Computing” under the project number 160364472-SFB901.

Cite As Get BibTex

Sam Coy, Artur Czumaj, Michael Feldmann, Kristian Hinnenthal, Fabian Kuhn, Christian Scheideler, Philipp Schneider, and Martijn Struijs. Near-Shortest Path Routing in Hybrid Communication Networks. In 25th International Conference on Principles of Distributed Systems (OPODIS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 217, pp. 11:1-11:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.OPODIS.2021.11

Abstract

Hybrid networks, i.e., networks that leverage different means of communication, become ever more widespread. To allow theoretical study of such networks, [Augustine et al., SODA'20] introduced the HYBRID model, which is based on the concept of synchronous message passing and uses two fundamentally different principles of communication: a local mode, which allows every node to exchange one message per round with each neighbor in a local communication graph; and a global mode where any pair of nodes can exchange messages, but only few such exchanges can take place per round. A sizable portion of the previous research for the HYBRID model revolves around basic communication primitives and computing distances or shortest paths in networks. In this paper, we extend this study to a related fundamental problem of computing compact routing schemes for near-shortest paths in the local communication graph. We demonstrate that, for the case where the local communication graph is a unit-disc graph with n nodes that is realized in the plane and has no radio holes, we can deterministically compute a routing scheme that has constant stretch and uses labels and local routing tables of size O(log n) bits in only O(log n) rounds.

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
Keywords
  • Hybrid networks
  • overlay networks

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