A note on fragments of infinite graphs |
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Authors: | H. A. Jung |
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Affiliation: | 1. Technische Universit?t Berlin Fachbereich Mathematik, 1000, Berlin 12
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Abstract: | Results involving automorphisms and fragments of infinite graphs are proved. In particular for a given fragmentC and a vertex-transitive subgroupG of the automorphism group of a connected graph there exists σ≠G such that σ[C] ⊂C. This proves the countable case of a conjecture of L. Babai and M. E. Watkins concerning graphs allowing a vertex-transitive torsion group action. Dedicated to Prof. K. Wagner on his 70th birthday |
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Keywords: | 05 C 40 05 C 25 |
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