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Query Evaluation on a Database Given by a Random Graph

  • Conference paper
Database Theory – ICDT 2007 (ICDT 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4353))

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Abstract

We consider random graphs, and their extensions to random structures, with edge probabilities of the form βn  − − α, where n is the number of vertices, α, β are fixed and α> 1 (α> arity – 1 for structures of higher arity). We consider conjunctive properties over these random graphs, and investigate the problem of computing their asymptotic conditional probabilities. This provides us a novel approach to dealing with uncertainty in databases, with applications to data privacy and other database problems.

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References

  1. Abiteboul, S., Duschka, O.M.: Complexity of answering queries using materialized views. In: PODS, pp. 254–263 (1998)

    Google Scholar 

  2. Babcock, B., Chaudhuri, S.: Towards a robust query optimizer: a principled and practical approach. In: SIGMOD, pp. 119–130 (2005)

    Google Scholar 

  3. Bacchus, F., Grove, A.J., Halpern, J.Y., Koller, D.: From statistical knowledge bases to degrees of belief. Artificial Intelligence 87(1-2), 75–143 (1996)

    Article  MathSciNet  Google Scholar 

  4. Chandra, A.K., Merlin, P.M.: Optimal implementation of conjunctive queries in relational data bases. In: STOC, pp. 77–90 (1977)

    Google Scholar 

  5. Dalvi, N., Milkau, G., Suciu, D.: Asymptotic conditional probabilities for conjunctive queries. In: Eiter, T., Libkin, L. (eds.) ICDT 2005. LNCS, vol. 3363, Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Dalvi, N., Suciu, D.: Query answering using probabilistic views. In: VLDB, pp. 805–816 (2005)

    Google Scholar 

  7. Dalvi, N., Suciu, D.: Query evaluation on a database given by a random graph (April 2006)

    Google Scholar 

  8. Evfimievski, A., Gehrke, J., Srikant, R.: Limiting privacy breaches in privacy preserving data mining. In: PODS, pp. 211–222 (2003)

    Google Scholar 

  9. Fagin, R.: Probabilities on finite models. Journal of Symbolic Logic 41(1), 50–58 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  10. Getoor, L., Taskar, B., Koller, D.: Selectivity estimation using probabilistic models. In: SIGMOD, pp. 461–472 (2001)

    Google Scholar 

  11. Glebskiĭ, Y.V., Kogan, D.I., Liogon’kiĭ, M.I., Talanov, V.A.: Range and degree of realizability of formulas in the restricted predicate calculus. Kibernetika, 2, 17–28, (1969); [Engl. Transl. Cybernetics, vol. 5, 142–154 (1972)]

    Google Scholar 

  12. Halevy, A.Y.: Answering queries using views: A survey. The VLDB Journal 10(4), 270–294 (2001)

    Article  MATH  Google Scholar 

  13. Hemaspaandra, L.A., Vollmer, H.: The satanic notations: Counting classes beyond #p and other definitional adventures. Technical report, Rochester, NY, USA (1994)

    Google Scholar 

  14. Kifer, D., Gehrke, J.E.: Injecting utility into anonymized datasets. In: SIGMOD (2006)

    Google Scholar 

  15. Lenzerini, M.: Data integration: a theoretical perspective. In: PODS, pp. 233–246 (2002)

    Google Scholar 

  16. Liogon’kiĭ, M.I.: On the conditional satisfyability ratio of logical formulas. Mathematical Notes of the Academy of the USSR 6, 856–861 (1969)

    Article  MathSciNet  Google Scholar 

  17. Lynch, J.F.: Probabilities of sentences about very sparse random graphs. Random struct. algorithms 3(1), 33–54 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  18. Lynch, J.F.: Infinitary logics and very sparse random graphs. In: Logic in Computer Science, pp. 191–198 (1993)

    Google Scholar 

  19. Machanavajjhala, A., Gehrke, J., Kifer, D., Venkitasubramaniam, M.: l-diversity: Privacy beyond k-anonymity. In: ICDE, p. 24 (2006)

    Google Scholar 

  20. Miklau, G., Suciu, D.: A formal analysis of information disclosure in data exchange. In: SIGMOD (2004)

    Google Scholar 

  21. Spencer, J., Shelah, S.: Zero-one laws for sparse random graphs. J. Amer. Math. Soc, 97–115 (1988)

    Google Scholar 

  22. Valiant, L.: The complexity of computing the permanent. Theoretical Computer Science 8, 189–201 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  23. Vardi, M.Y.: The complexity of relational query languages. In: STOC, pp. 137–146 (1982)

    Google Scholar 

  24. Wagner, K.W.: More complicated questions about maxima and minima, and some closures of NP. Theor. Comput. Sci. 51(1-2), 53–80 (1987)

    Article  MATH  Google Scholar 

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Dalvi, N. (2006). Query Evaluation on a Database Given by a Random Graph. In: Schwentick, T., Suciu, D. (eds) Database Theory – ICDT 2007. ICDT 2007. Lecture Notes in Computer Science, vol 4353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11965893_11

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  • DOI: https://doi.org/10.1007/11965893_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69269-0

  • Online ISBN: 978-3-540-69270-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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