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The automorphism group of random graphs with a given number of edges

Published online by Cambridge University Press:  24 October 2008

Tomasz Łuczak
Tomasz Łuczak
Affiliation:
Institute of Mathematics, Adam Mickiewicz University, Poznań, Poland
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Extract

An automorphism σ(G) of a graph G is a permutation of the set of its vertices which preserves adjacency. Under the operation of composition the automorphisms of G form a group Aut(G). The graph G is called asymmetric if Aut(G) is trivial, and symmetric otherwise.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 441 - 449
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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