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A self-contraction of an infinite graph is translating if it stabilizes no non-empty finite set of vertices. To each translating self-contractionf of a graph G is associated a particular end ofG, which is called the direction off. This generalizes the concept of direction of a translation (translating automorphism) defined and studied by Halin [5]. In this paper several properties of translating self-contractions are studied, with an emphasis to self-contractions of non-locally finite graphs.
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Aug 27, 2008
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