Random exchanges of information

Author:

Boyd David W.,Steele J. Michael

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference5 articles.

1. Random exchanges of information;Moon;Nieuw Arch. Wisk.,1972

2. On a telephone problem;Tijdeman;Nieuw Arch. Wisk.,1971

3. Bumby R. T. and Spencer J. Unpublished paper cited in [2].

4. A Cure for the Telephone Disease

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