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Semigroups characterizing hypergraphs (Q1066164)

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scientific article; zbMATH DE number 3924834
Language Label Description Also known as
English
Semigroups characterizing hypergraphs
scientific article; zbMATH DE number 3924834

    Statements

    title
    Semigroups characterizing hypergraphs (English)
    0 references
    author
    Boris M. Schein
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    publication date
    1985
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    review text
    A hypergraph \((V,E,I)\) is determined by (an arbitrary) relation \(I\subset V\times E\) (\(V,E\) sets), its semigroup \((V\times E\cup \{0\},*)\) by \((v_ 1,e_ 1)*(v_ 2,e_ 2)=(v_ 1,e_ 2)\) iff \((v_ 2,e_ 1)\subset I\) (otherwise the product \(=0\)). It is proved that a hypergraph is characterized by its semigroup up to isomorphism. An algebraic characterization of hypergraph semigroups is given.
    0 references
    reviewed by
    Jaak Henno
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    zbMATH Keywords
    hypergraph
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    semigroup
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    hypergraph semigroups
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    Identifiers

    Mathematics Subject Classification ID
    05C65
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    05A20
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    20M20
    0 references
    zbMATH DE Number
    3924834
    0 references
    OpenAlex ID
    W2087514982
    0 references
     
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