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2 results

  • Random exchanges of information

  • John Haigh
  • Journal:
    Journal of Applied Probability / Volume 18 / Issue 3 / September 1981
    Published online by Cambridge University Press:
    14 July 2016, pp. 743-746
    Print publication:
    September 1981

  • Suppose that n persons each know a different piece of information, and that, whenever a pair of them talk on the telephone, each tells the other all the information he knows at that time. If the calls are made at random, we show that the expected number of calls required for everyone to know all n pieces of information is asymptotically 1.5 n log n + O(n). This sharpens an earlier result of D. W. Boyd and J. M. Steele. Some numerical comparisons are given.

  • Random exchanges of information

  • David W. Boyd, J. Michael Steele
  • Journal:
    Journal of Applied Probability / Volume 16 / Issue 3 / September 1979
    Published online by Cambridge University Press:
    14 July 2016, pp. 657-661
    Print publication:
    September 1979

  • Suppose that n persons each know a different piece of information, and that whenever a pair of persons talk on the telephone each tells the other all the information that he knows at the time. If calls are made at random, we show that the expected number of calls necessary until everyone knows all n pieces of information is asymptotically 1.5 n log n. This sharpens an earlier result of J. W. Moon.