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A note on graphs with countable automorphism group - MaRDI portal

A note on graphs with countable automorphism group (Q5954698)

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scientific article; zbMATH DE number 1701677
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A note on graphs with countable automorphism group
scientific article; zbMATH DE number 1701677

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    A note on graphs with countable automorphism group (English)
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    14 July 2002
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    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).
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    automorphism group
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    infinite path
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    double ray
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