Accessibility and ends of graphs (Q1924129)

From MaRDI portal





scientific article; zbMATH DE number 934796
Language Label Description Also known as
English
Accessibility and ends of graphs
scientific article; zbMATH DE number 934796

    Statements

    Accessibility and ends of graphs (English)
    0 references
    14 October 1996
    0 references
    The author proves that a locally finite inaccessible graph with a transitive automorphism group has uncountably many thick ends. This result is used to show that a connected locally finite transitive graph is inaccessible if and only if it has uncountably many thick ends. The author uses the theory of structured trees to obtain his result.
    0 references
    0 references
    inaccessible graph
    0 references
    automorphism group
    0 references
    thick ends
    0 references
    transitive graph
    0 references
    structured trees
    0 references

    Identifiers