Estimating the Size of Generalized Transitive Closures.

Richard J. Lipton, Jeffrey F. Naughton: Estimating the Size of Generalized Transitive Closures. VLDB 1989: 165-171
  author    = {Richard J. Lipton and
               Jeffrey F. Naughton},
  editor    = {Peter M. G. Apers and
               Gio Wiederhold},
  title     = {Estimating the Size of Generalized Transitive Closures},
  booktitle = {Proceedings of the Fifteenth International Conference on Very
               Large Data Bases, August 22-25, 1989, Amsterdam, The Netherlands},
  publisher = {Morgan Kaufmann},
  year      = {1989},
  isbn      = {1-55860-101-5},
  pages     = {165-171},
  ee        = {db/conf/vldb/LiptonN89.html},
  crossref  = {DBLP:conf/vldb/89},
  bibsource = {DBLP,}


We present a framework for the estimation of the size of binary recursively defined relations. We show how the framework can be used to provide estimating algorithms for the size of the transitive closure and generalizations of the transitive closure, and also show that for bounded degree relations, the algorithm runs in linear time. Such estimating algorithms are essential if database systems that support recursive relations or fixpoints are to be able to optimize queries and avoid infeasible computations.

Copyright © 1989 by the VLDB Endowment. Permission to copy without fee all or part of this material is granted provided that the copies are not made or distributed for direct commercial advantage, the VLDB copyright notice and the title of the publication and its date appear, and notice is given that copying is by the permission of the Very Large Data Base Endowment. To copy otherwise, or to republish, requires a fee and/or special permission from the Endowment.

Online Paper

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Printed Edition

Peter M. G. Apers, Gio Wiederhold (Eds.): Proceedings of the Fifteenth International Conference on Very Large Data Bases, August 22-25, 1989, Amsterdam, The Netherlands. Morgan Kaufmann 1989, ISBN 1-55860-101-5


Rakesh Agrawal, H. V. Jagadish: Direct Algorithms for Computing the Transitive Closure of Database Relations. VLDB 1987: 255-266 BibTeX
Stavros Christodoulakis: Estimating Block Transfers and Join Sizes. SIGMOD Conference 1983: 40-54 BibTeX
Robert Demolombe: Estimation of the Number of Tuples Satisfying a Query Expressed in Predicate Calculus Language. VLDB 1980: 55-63 BibTeX
Wen-Chi Hou, Gultekin Özsoyoglu, Baldeo K. Taneja: Statistical Estimators for Relational Algebra Expressions. PODS 1988: 276-287 BibTeX
Yannis E. Ioannidis: On the Computation of the Transitive Closure of Relational Operators. VLDB 1986: 403-411 BibTeX
Yannis E. Ioannidis, Raghu Ramakrishnan: Efficient Transitive Closure Algorithms. VLDB 1988: 382-394 BibTeX
Yannis E. Ioannidis, Eugene Wong: Query Optimization by Simulated Annealing. SIGMOD Conference 1987: 9-22 BibTeX
Ravi Krishnamurthy, Haran Boral, Carlo Zaniolo: Optimization of Nonrecursive Queries. VLDB 1986: 128-137 BibTeX
Hongjun Lu, Krishna P. Mikkilineni, James P. Richardson: Design and Evaluation of Algorithms to Compute the Transitive Closure of a Database Relation. ICDE 1987: 112-119 BibTeX
Hongjun Lu: New Strategies for Computing the Transitive Closure of a Database Relation. VLDB 1987: 267-274 BibTeX
Clifford A. Lynch: Selectivity Estimation and Query Optimization in Large Databases with Highly Skewed Distribution of Column Values. VLDB 1988: 240-251 BibTeX
Jeffrey F. Naughton: One-Sided Recursions. PODS 1987: 340-348 BibTeX
Jeffrey F. Naughton, Raghu Ramakrishnan, Yehoshua Sagiv, Jeffrey D. Ullman: Efficient Evaluation of Right-, Left-, and Mult-Lineare Rules. SIGMOD Conference 1989: 235-242 BibTeX
Gregory Piatetsky-Shapiro, Charles Connell: Accurate Estimation of the Number of Tuples Satisfying a Condition. SIGMOD Conference 1984: 256-276 BibTeX
Arnon Rosenthal, Sandra Heiler, Umeshwar Dayal, Frank Manola: Traversal Recursion: A Practical Approach to Supporting Recursive Applications. SIGMOD Conference 1986: 166-176 BibTeX
Neil C. Rowe: Top-Down Statistical Estimation on a Database. SIGMOD Conference 1983: 135-145 BibTeX
David E. Smith, Michael R. Genesereth: Ordering Conjunctive Queries. Artif. Intell. 26(2): 171-215(1985) BibTeX
Arun N. Swami, Anoop Gupta: Optimization of Large Join Queries. SIGMOD Conference 1988: 8-17 BibTeX

Referenced by

  1. James F. Lynch: Analysis and Application of Adaptive Sampling. PODS 2000: 260-267
  2. Sumit Ganguly, Phillip B. Gibbons, Yossi Matias, Abraham Silberschatz: Bifocal Sampling for Skew-Resistant Join Size Estimation. SIGMOD Conference 1996: 271-281
  3. Yibei Ling, Wei Sun: An Evaluation of Sampling-Based Size Estimation Methods for Selections in Database Systems. ICDE 1995: 532-539
  4. Peter J. Haas, Jeffrey F. Naughton, Arun N. Swami: On the Relative Cost of Sampling for Join Selectivity Estimation. PODS 1994: 14-24
  5. Peter J. Haas, Jeffrey F. Naughton, S. Seshadri, Arun N. Swami: Fixed-Precision Estimation of Join Selectivity. PODS 1993: 190-201
  6. Philippe De Smedt, Stefano Ceri, Marie-Anne Neimat, Ming-Chien Shan, Rafi Ahmed: Recursive Functions in Iris. ICDE 1993: 145-154
  7. Gennady Antoshenkov: Random Sampling from Pseudo-Ranked B+ Trees. VLDB 1992: 375-382
  8. Peter J. Haas, Arun N. Swami: Sequential Sampling Procedures for Query Size Estimation. SIGMOD Conference 1992: 341-350
  9. Frank Olken, Doron Rotem: Maintenance of Materialized Views of Sampling Queries. ICDE 1992: 632-641
  10. Wen-Chi Hou, Gultekin Özsoyoglu, Erdogan Dogdu: Error-Constraint COUNT Query Evaluation in Relational Databases. SIGMOD Conference 1991: 278-287
  11. Frank Olken, Doron Rotem, Ping Xu: Random Sampling from Hash Files. SIGMOD Conference 1990: 375-386
  12. Richard J. Lipton, Jeffrey F. Naughton, Donovan A. Schneider: Practical Selectivity Estimation through Adaptive Sampling. SIGMOD Conference 1990: 1-11
  13. Mihalis Yannakakis: Graph-Theoretic Methods in Database Theory. PODS 1990: 230-242
  14. Richard J. Lipton, Jeffrey F. Naughton: Query Size Estimation by Adaptive Sampling. PODS 1990: 40-46
  15. Jeffrey F. Naughton, S. Seshadri: On Estimating the Size of Projections. ICDT 1990: 499-513
  16. Saumya K. Debray, Nai-Wei Lin: Static Estimation of Query Sizes in Horn Programs. ICDT 1990: 514-528
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