Deterministic resource discovery in distributed networks

  • Authors:
  • Shay Kutten;David Peleg;Uzi Vishkin

  • Affiliations:
  • Faculty of Industrial Engineering and Management, The Technion, Haifa, Israel;Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel, 76100;Electrical and Computer Engineering Department and the University of Maryland Institute for Advanced Computer Studies, College Park, MD 20742, and Computer Science Department, The Technion, Haifa, ...

  • Venue:
  • Proceedings of the thirteenth annual ACM symposium on Parallel algorithms and architectures
  • Year:
  • 2001

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Abstract

The resource discovery problem was introduced by Harchol-Balter, Leigh ton and Lewin. They developed a number of algorithms for the problem in the weakly connected directed graph model. This model is a directed logical graph, that represents the vertices' “knowledge” about the topology of the underlying communication network.The current paper proposes a deterministic algorithm for the problem in the same model, with improved time, message, and communication complexities. Each previous algorithm had a complexity that was higher at least in one of the measures. Specifically, previous deterministic solutions required either time linear in the diameter of the initial network, or communication complexity &Ogr;(n3) (with message complexity &Ogr;(n2)), or message complexity &Ogr;(¦E0¦ log n) (where E0 is the edge set of the initial graph). Compared to the main randomized algorithm of Harchol-Balter, Leigh ton, and Lewin, the time complexity is reduced from &Ogr;(log2 n) to &Ogr;(log n), the message complexity from &Ogr;(n log2 n) to &Ogr;(n log n), and the communication complexity from &Ogr;(n2 log3 n) to &Ogr;(¦E0¦ log2 n). Our work significantly extends the connectivity algorithm of Shiloach and Vishkin which was originally given for a parallel model of computation. Our result also confirms a conjecture of Harchol-Balter, Leighton, and Lewin, and addresses an open question due to R. Lipton.