Encyclopedia of Database Systems

2018 Edition
| Editors: Ling Liu, M. Tamer Özsu

Convertible Constraints

  • Carson Kai-Sang Leung
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_5047

Synonyms

Convertible antimonotone constraints; Convertible antimonotonic constraints; Convertible monotone constraints; Convertible monotonic constraints

Definition

A constraint C is convertible if and only if C is convertible antimonotone or convertible monotone. A constraint C is convertible antimonotone provided there is an order R on items such that when an ordered itemset S satisfies constraint C, so does any prefix of S. A constraint C is convertible monotone provided there is an order R on items such that when an ordered itemset S violates constraint C, so does any prefix of S.

Key Points

Although some constraints are neither antimonotone nor monotone in general, several of them can be converted into antimonotone or monotone ones by properly ordering the items. These convertible constraints [1, 2, 3] possess the following nice properties. By arranging items according to some proper order R, if an itemset S satisfies a convertible antimonotone constraint Ccam, then all...

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Recommended Reading

  1. 1.
    Pei J, Han J. Can we push more constraints into frequent pattern mining? In: Proceedings of the 6th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining; 2000. p. 350–4.Google Scholar
  2. 2.
    Pei J, Han J, Lakshmanan LVS. Mining frequent item sets with convertible constraints. In: Proceedings of the 17th International Conference on Data Engineering; 2001. p. 433–42.Google Scholar
  3. 3.
    Pei J, Han J, Lakshmanan LVS. Pushing convertible constraints in frequent itemset mining. Data Mining Knowl Discov. 2004;8(3):227–52. https://doi.org/10.1023/B:DAMI.0000023674.74932.4c.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of ManitobaWinnipegCanada

Section editors and affiliations

  • Jian Pei
    • 1
  1. 1.School of Computing ScienceSimon Fraser Univ.BurnabyCanada