Computational complexity of some maximum average weight problems with precedence constraints

Ulrich Faigle, Walter Kern

    Research output: Book/ReportReportProfessional

    Abstract

    Maximum average weight ideal problems in ordered sets arise from modeling variants of the investment problem and, in particular, learning problems in the context of concepts with tree-structured attributes in artificial intelligence. Similarly, trying to construct tests with high reliability leads to a nontrivial maximum average weight ideal problem. This paper investigates the computational complexity and shows that the general problem is NP-complete. Important special cases (e.g., finding rooted subtrees of maximal average weight), however, can be handled with efficient algorithms.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente
    Number of pages17
    Publication statusPublished - 1991

    Publication series

    NameMemorandum
    PublisherUniversity of Twente, Faculty of Applied Mathematics
    No.899
    ISSN (Print)0921-1969

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