A note on graphs with countable automorphism group (Q5954698)

From MaRDI portal
scientific article; zbMATH DE number 1701677
Language Label Description Also known as
English
A note on graphs with countable automorphism group
scientific article; zbMATH DE number 1701677

    Statements

    A note on graphs with countable automorphism group (English)
    0 references
    0 references
    14 July 2002
    0 references
    The paper solves the following problem from \textit{R. Halin} [J. Graph Theory 35, No. 2, 128--151 (2000; Zbl 0960.05001)]: If the automorphism group of a graph \(G\) is countable, then \(G\) contains a double-ray (i.e. a two-way infinite path).
    0 references
    automorphism group
    0 references
    infinite path
    0 references
    double ray
    0 references

    Identifiers