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Hexagonal unit network - a tool for proving the NP-completeness results of geometric problems - MaRDI portal

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Hexagonal unit network - a tool for proving the NP-completeness results of geometric problems (Q1071507)

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scientific article; zbMATH DE number 3940720
Language Label Description Also known as
English
Hexagonal unit network - a tool for proving the NP-completeness results of geometric problems
scientific article; zbMATH DE number 3940720

    Statements

    title
    Hexagonal unit network - a tool for proving the NP-completeness results of geometric problems (English)
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    author
    Mirko Křivánek
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    publication date
    1986
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    review text
    The special embedding of instances of the well-known NP-complete problem ''exact cover by 3-sets'' into hexagonal unit network is suggested for exhibiting polynomial transformation to geometric problems. In particular the NP-completeness of Euclidean clustering is proved and three interesting graph-theoretical corollaries are obtained.
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    zbMATH Keywords
    exact cover by 3-sets
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    polynomial transformation
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    Euclidean clustering
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    Identifiers

    zbMATH DE Number
    3940720
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    OpenAlex ID
    W2115345015
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