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Translations and semi-translations in infinite graphs

Translations and semi-translations in infinite graphs 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

Translations and semi-translations in infinite graphs

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 1999 by Mathematische Seminar
Subject
Mathematics; Algebra; Differential Geometry; Combinatorics; Number Theory; Topology; Geometry
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/BF02940859
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität HamburgSpringer Journals

Published: Aug 27, 2008

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