'Edge transitive' diaporamas de présentation

Symmetry in Graphs

Symmetry in Graphs. Aut G revisited. Recall that the automorphism group Aut G for a simple graph G can be viewed as a subgroup of Sym(V(G)) or a subgroup of Sym(E(G)). Example for Aut G acting on V(G). |Aut G| = 4 . V(G) ={1,2,3,4} Id = (1)(2)(3)(4) a = (1)(3)(2 4) b = (1 3)(2)(4)

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Open Problems in Symmetry

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Symmetry in Maps

Symmetry in Maps. 3. 2. 4. 1. Notation. ? 0 = L ? 1 = R ? 2 = T T = (1 2)(3 4) L = (2 3)(1 4) R = (2 3)(1 4). R. L. T. Mon(M), Or(M). Mon(M) = <T,L,R> Example: T = (1 8)(2 3)(4 5)(6 7) L = (1 4)(2 7)(3 6)(5 8) R = (1 2)(3 4)(5 6)(7 8) Or(M) = <TR,RL>

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