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Two characterizations of hypercubes - MaRDI portal

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Two characterizations of hypercubes (Q540098)

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scientific article; zbMATH DE number 5903027
Language Label Description Also known as
English
Two characterizations of hypercubes
scientific article; zbMATH DE number 5903027

    Statements

    title
    Two characterizations of hypercubes (English)
    0 references
    author
    J. Nieminen
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    Matti Peltola
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    Pasi Ruotsalainen
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    publication date
    1 June 2011
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    review text
    Summary: Two characterizations of hypercubes are given: 1) A graph is a hypercube if and only if it is antipodal and bipartite (0, 2)-graph. 2) A graph is an \(n\)-hypercube if and only if there are \(n\) pairs of prime convexes, the graph is a prime convex intersection graph, and each intersection of \(n\) prime convexes (no one of which is from the same pair) is a vertex.
    0 references

    Identifiers

    zbMATH DE Number
    5903027
    0 references
     
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