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A new class of perfect Hoàng graphs (Q1901048)

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scientific article; zbMATH DE number 810271
Language Label Description Also known as
English
A new class of perfect Hoàng graphs
scientific article; zbMATH DE number 810271

    Statements

    title
    A new class of perfect Hoàng graphs (English)
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    author
    Irena Rusu
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    publication date
    3 December 1995
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    review text
    A Hoàng graph \(G\) is a graph whose edges may be colored with two colours. \textit{C. T. Hoàng} [J. Graph Theory 19, No. 2, 271-279 (1995; Zbl 0820.05025)] conjectured that these graphs are perfect and proved two partial results concerning their perfectness. In this paper, a Hoàng graph is said to be reducible if it does not contain as an induced subgraph any of the graphs in a four-member family of graphs of order 6 described here, and it is proved that for reducible Hoàng graphs this conjecture is true.
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    zbMATH Keywords
    perfect graph
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    Raspail graph
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    Hoàng graph
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    reducible Hoàng graphs
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    reviewed by
    Ioan Tomescu
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    Identifiers

    zbMATH DE Number
    810271
    0 references
     
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