On automorphisms of infinite graphs with forbidden subgraphs |
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Authors: | Norbert Seifter |
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Affiliation: | 1. Institut für Mathematik und Angewandte Geometrie, Montanuniversit?t Leoben, A-8700, Leoben, Austria
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Abstract: | LexX be anm-connected infinite graph without subgraphs homeomorphic toKm, n, for somen, and let α be an automorphism ofX with at least one cycle of infinite length. We characterize the structure of α and use this characterization to extend a known result about orientation-preserving automorphisms of finite plane graphs to infinite plane graphs. In the last section we investigate the action of α on the ends ofX and show that α fixes at most two ends (Theorem 3.2). |
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Keywords: | 05 C 25 05 C 10 |
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