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On the estimate of the size of a directed graph

  • A. Marchetti-Spaccamela
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 344)

Abstract

Given a directed graph and a source node x0 we want to know the number of nodes that are connected to x0, without searching the whole graph. We give biased and unbiased estimators extending previous results by Knuth and Pitt.

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References

  1. [HK65]
    Hall, M., D.E.Knuth, "Combinatorial Analysis and Computers, part II", American Mathematical Monthly, February 1965.Google Scholar
  2. [K75]
    Knuth, D., "Estimating the Efficiency of Backtrack Programs", Math. Comp. 29, pp. 121–136, 1975.Google Scholar
  3. [M88]
    Marchetti-Spaccamela, A., "Monte Carlo Estimates of the Size of Relations in Deductive Databases", manuscript, 1988.Google Scholar
  4. [P87]
    Pitt, L., "A Note on Extending Knuth's Tree Estimator to Directed Acyclic Graph", Information Processing Letters vol. 24, pp.203–206, 1987.Google Scholar
  5. [RND77]
    Reingold, E.M., J. Nievergelt, N. Deo, Combinatorial Algorithms: Theory and Practice, Prentice Hall, 1977.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • A. Marchetti-Spaccamela
    • 1
  1. 1.Dept. of MathematicsUniversity of L'AquilaL'AquilaItaly

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