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Abstract Convexity — Antimatroids

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Greedoids

Part of the book series: Algorithms and Combinatorics ((AC,volume 4))

Abstract

If we abstract the combinatorial properties of convexity in a manner similar to the abstraction of linear dependence in matroid theory, we obtain antimatroids. Interest in these structures has its sources in different fields of mathematics.

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Author information

Authors and Affiliations

  1. Research Institute for Discrete Mathematics/Institute of Operations Research, University of Bonn, Nassestraße 2, W-5300, Bonn, Fed. Rep. of Germany

    Bernhard Korte & Rainer Schrader

  2. Department of Computer Science, Eötvös Loránd University, Múzeum krt. 6-8, H-1088, Budapest, Hungary

    László Lovász

Authors
  1. Bernhard Korte
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  2. Rainer Schrader
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  3. László Lovász
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© 1991 Springer-Verlag Berlin Heidelberg

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Korte, B., Schrader, R., Lovász, L. (1991). Abstract Convexity — Antimatroids. In: Greedoids. Algorithms and Combinatorics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58191-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-58191-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63499-4

  • Online ISBN: 978-3-642-58191-5

  • eBook Packages: Springer Book Archive

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