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).

automorphism group | edge automorphism | edge-transitive graph | graph automorphism