Metric ends,fibers and automorphisms of graphs |
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| Authors: | Bernhard Krön Rögnvaldur G Möller |
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| Institution: | 1. Faculty of Mathematics, University of Vienna, Nordberstr. 125, 1090 Vienna, Austria;2. Science Institute, University of Iceland, Dunhaga 3, 107 Reykjavik, Iceland;3. Phone: +354 525 4800, Fax: +354 552 8911 |
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| Abstract: | Several results on the action of graph automorphisms on ends and fibers are generalized for the case of metric ends. This includes results on the action of the automorphisms on the end space, directions of automorphisms, double rays which are invariant under a power of an automorphism and metrically almost transitive automorphism groups. It is proved that the bounded automorphisms of a metrically almost transitive graph with more than one end are precisely the kernel of the action on the space of metric ends. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Ends of graphs metric ends fibers graph automorphisms |
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