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Examples of Clique Closure Systems

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Formal Concept Analysis (ICFCA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13934))

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Abstract

We give a complete list of lattices associated to closure systems generated by four maximal cliques and generalize a known characterization to uniform hypergraphs.

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Notes

  1. 1.

    See also Järvinen and Radeleczki [4] for other aspects.

References

  1. Brucker, F., Gély, A.: Crown-free lattices and their related graphs. Order 28, 443–454 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ganter, B., Obiedkov, S.: Conceptual Exploration, Springer, Berlin (2016). https://doi.org/10.1007/978-3-662-49291-8

  3. Gilmore, P.C.: Families of sets with faithful graph representation. J. Watson Research Center, Yorktown Heights, Technical report (1962)

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  4. Järvinen, J., Radeleczki, S.: Tolerances induced by irredundant coverings. Fund. Inform. 137(3), 341–353 (2015)

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Author information

Authors and Affiliations

  1. Ernst-Schröder–Zentrum für Begriffliche Wissensverarbeitung, Darmstadt, Germany

    Elias Dahlhaus & Bernhard Ganter

Authors
  1. Elias Dahlhaus
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  2. Bernhard Ganter
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Corresponding author

Correspondence to Bernhard Ganter .

Editor information

Editors and Affiliations

  1. Universität Kassel, Kassel, Germany

    Dominik Dürrschnabel

  2. Universidad de Málaga, Málaga, Spain

    Domingo López Rodríguez

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Dahlhaus, E., Ganter, B. (2023). Examples of Clique Closure Systems. In: Dürrschnabel, D., López Rodríguez, D. (eds) Formal Concept Analysis. ICFCA 2023. Lecture Notes in Computer Science(), vol 13934. Springer, Cham. https://doi.org/10.1007/978-3-031-35949-1_10

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  • DOI: https://doi.org/10.1007/978-3-031-35949-1_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-35948-4

  • Online ISBN: 978-3-031-35949-1

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