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Subgraphs of hypercubes and subdiagrams of Boolean lattices (Q1815849)

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scientific article; zbMATH DE number 947542
Language Label Description Also known as
English
Subgraphs of hypercubes and subdiagrams of Boolean lattices
scientific article; zbMATH DE number 947542

    Statements

    title
    Subgraphs of hypercubes and subdiagrams of Boolean lattices (English)
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    author
    Jutta Mitas
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    Klaus Reuter
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    published in
    Order
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    publication date
    17 June 1997
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    review text
    We extensively treat the following problems: When is a given graph a subgraph (resp. induced subgraph) of a hypercube and when is an ordered set a subdiagram (resp. induced subdiagram) of a Boolean lattice? We present characterizations for that in terms of suitable edge-colorings of the graphs and, for ordered sets, of their covering graphs.
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    zbMATH Keywords
    embedding
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    edge-coloring
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    induced subgraph
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    hypercube
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    ordered set
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    induced subdiagram
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    Boolean lattice
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    covering graphs
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    Identifiers

    DOI
    10.1007/BF00383967
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    Mathematics Subject Classification ID
    06A07
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    05C10
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    05C78
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    68R10
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    zbMATH DE Number
    947542
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