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Convertible Constraints

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  • First Online:
Encyclopedia of Database Systems

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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 C cam , then all...

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Recommended Reading

  1. Pei J, Han J. Can we push more constraints into frequent pattern mining? In: Proceedings of 6th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining; 2000. p. 350–4.

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  2. Pei J, Han J, Lakshmanan LVS. Mining frequent item sets with convertible constraints. In: Proceedings of 17th International Conference on Data Engineering; 2001. p. 433–42.

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  3. Pei J, Han J, Lakshmanan LVS. Pushing convertible constraints in frequent itemset mining. Data Mining Knowl Discov. 2004;8(3):227–52. doi:10.1023/B:DAMI.0000023674.74932.4c.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Manitoba, Winnipeg, MB, Canada

    Carson Kai-Sang Leung

Authors
  1. Carson Kai-Sang Leung
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Corresponding author

Correspondence to Carson Kai-Sang Leung .

Editor information

Editors and Affiliations

  1. Georgia Institute of Technology College of Computing, Atlanta, Georgia, USA

    Ling Liu

  2. University of Waterloo School of Computer Science, Waterloo, Ontario, Canada

    M. Tamer Özsu

Section Editor information

  1. School of Computing Science, Simon Fraser Univ., 8888 Univ. Drive, V5A 1S6, Burnaby, British Columbia, Canada

    Jian Pei

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© 2017 Springer Science+Business Media LLC

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Leung, C.KS. (2017). Convertible Constraints. In: Liu, L., Özsu, M. (eds) Encyclopedia of Database Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-7993-3_5047-2

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  • DOI: https://doi.org/10.1007/978-1-4899-7993-3_5047-2

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4899-7993-3

  • Online ISBN: 978-1-4899-7993-3

  • eBook Packages: Springer Reference Computer SciencesReference Module Computer Science and Engineering

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