Efficient Distributed Selection with Bounded Messages

  • Authors:
  • Alberto Negro;Nicola Santoro;Jorge Urrutia

  • Affiliations:
  • Univ. di Salerno, Salerno, Italy;Carleton Univ., Ottawa, Ont., Canada;Univ. of Ottawa, Ottawa, Ont., Canada

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1997

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Abstract

We consider the problem of selecting the Kth smallest element of a set distributed among the sites of a communication network when the size of messages is bounded; that is, each message is a packet which contains at most c bits, where c驴 1 is a constant.A general selection algorithm using packets is presented and its packet complexity is analyzed. Its complexity is shown to be a significant improvement for a large range of packet sizes over the existing bounds. The proposed technique is then instanciated for specific classes of network topologies; the resulting bounds either match or improve the ones of existing solutions for a large range of values of the packet size. Furthermore, it is bit optimal in star networks.