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The solution for the branching factor of the alpha-beta pruning algorithm and its optimality

Published: 01 August 1982 Publication History
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References

[1]
Baudet, G.M. On the branching factor of the alpha-beta pruning algorithm. Artificial Intelligence 10, 2 (April 1978), 173-199.
[2]
Fuller, S.H., Gaschnig, J.G., and Gillogly, J.J. An analysis of the alpha-beta pruning algorithm. Department of Computer Science Report, Carnegie-Mellon University, (1973).
[3]
Knuth, D.E., and Moore, R.N. An analysis of alpha-beta pruning. Artificial Intelligence 6 (1975), 293-326.
[4]
Kuczma, M. Functional Equations in a Single Variable. Polish Scientific Publishers, Warszawa, (1968), p. 141.
[5]
Pearl, J. Asymptotic properties of minimax trees and gamesearching procedures. Artificial Intelligence 14, 2 (Sept. 1980), 113-138,
[6]
Pearl, J. A space-efficient on-line method of computing quantile estimates J. of Algorithms 2, 2 (June 1981) 24-28.
[7]
Roizen, I. On the average number of terminal nodes examined by alpha-beta. UCLA-ENG-CSL-8108, Cognitive Systems Laboratory, University of California, Los Angeles, (1981).
[8]
Slagle, J.R., and Dixon, J.K. Experiments with some programs that search game trees. JACM 16, 2 (April 1969) 189-207.
[9]
Stockman, G. A minimax algorithm better than alpha-beta? Artificial Intelligence 12, 2 (Aug. 1979), 179-196.
[10]
Tarsi, M. Optimal searching of some game trees. UCLA-ENG- CSL-8108, Cognitive Systems Laboratory, University of California, Los Angeles, (1981). (To appear in JA CM.)

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cover image Communications of the ACM
Communications of the ACM  Volume 25, Issue 8
Aug 1982
84 pages
ISSN:0001-0782
EISSN:1557-7317
DOI:10.1145/358589
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 August 1982
Published in CACM Volume 25, Issue 8

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Author Tags

  1. alpha-beta search
  2. average case analysis
  3. branch and bound search
  4. game searching
  5. games
  6. minimax algorithms

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