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Edge Automorphism Group

The set of all edge automorphisms of G, denoted Aut^*(G). Let L(G) be the line graph of a graph G. Then the edge automorphism group Aut^*(G) is isomorphic to Aut(L(G)),

Aut^*(G)=Aut(L(G))

(Holton and Sheehan 1993, p. 26).

See also

Automorphism Group, Edge Automorphism, Edge-Transitive Graph, Graph Automorphism

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References

Holton, D. A. and Sheehan, J. The Petersen Graph. Cambridge, England: Cambridge University Press, 1993.

Referenced on Wolfram|Alpha

Edge Automorphism Group

Cite this as:

Weisstein, Eric W. "Edge Automorphism Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EdgeAutomorphismGroup.html

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