Skip to main content
Log in

An algorithm for determining minimal reduced-coverings of acyclic database schemes

  • Published:
Journal of Computer Science and Technology Aims and scope Submit manuscript

Abstract

This paper reports an algorithm (DTV) for determining the minimal reduced-covering of an acyclic database scheme over a specified subset of attributes. The output of this algorithm contains not only minimum number of attributes but also minimum number of partial relation schemes. The algorithm has complexityO(⋎N⋎·⋎E⋎2), where ⋎N⋎ is the number of attributes and ⋎E⋎ the number of relation schemes. It is also proved that for Berge, γ or β acyclic database schemes, the output of algorithm DTV maintains the acyclicity correspondence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Fagin R. Degrees of acyclicity for hypergraphs and relational database scheme.J. ACM, 1983, 30(3): 514–550.

    Article  MATH  MathSciNet  Google Scholar 

  2. Ye Xinming. An algorithm for determining minimal covers of acyclic database schemes.Journal of Inner Mongolia University, 1994, 25(2): 219–225.

    Google Scholar 

  3. Beeri C, Fagin R, Maier D, Mendelzon A O, Ullman J D, Yannakakis M. Properties of acyclic database schemes. InProc. 13th Ann. ACM Symp. on Theory of Computing. New York, 1981, pp. 355–362.

  4. Cheng T Y, Zhu Y Tech. An algorithm for determining minimal covers of Alpha-acyclic database schemes. Report TR-81-07, Ottawa, Dept. of Comp. Sci., Univ. of Ottawa, 1986, pp. 1–26.

    Google Scholar 

  5. Tarjan R E, Yannakakis M. Simple linear time algorithm to test chordality of graphs, test acyclicity of hypergraph, and selectively reduce acyclic hypergraphs.SIAM J. Comput., 1984, 13(3): 566–579.

    Article  MATH  MathSciNet  Google Scholar 

  6. Liu Tieying. An algorithm for reducing acyclic database schemes.Journal of Inner Mongolia University, 1995, 26(3): 220–225.

    Google Scholar 

  7. Ausiello G, D’Atri A. Chordality properties on graphs and minimal conceptual connections in semantidata models.J. of Comput. and Sys. Sci., 1984, 33: 179–202.

    Article  MathSciNet  Google Scholar 

  8. Goodman N, Shmueli O. Characterizations of tree database schemes. Tech. Rep., Harvard Univ., Cambridge, Mass., 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Liu Tieying received his B.S. and M.S. degrees from Mathematics Department of Inner Mongolia University in 1981 and 1989, respectively. He is currently an Associate Professor in the Department of Computer Science at Inner Mongolia University. He is a member of the Inner Mongolia Association for Computing Mathematics. His research interests include applied mathematics and theory of database.

Ye Xinming received his B.S. degree in mathematics from Inner Mongolia University in 1965. He is currently a Professor and Head of the Department of Computer Science at Inner Mongolia University. He is a member of Council of Chinese Computer Federation and Chairman of Association of Inner Mongolia Computer Sociaty. His research interests include software engineering, network protocols, distributed algorithms and database.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, T., Ye, X. An algorithm for determining minimal reduced-coverings of acyclic database schemes. J. of Comput. Sci. & Technol. 11, 347–355 (1996). https://doi.org/10.1007/BF02948478

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02948478

Keywords

Navigation