Geodesic
Note on Gray Codes for Permutation Lists
Publications de l'Institut Mathématique, _N_S_78 (2005) no. 92, p. 87

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Robert Sedgewick [5] lists various Gray codes for the permutations in $S_n$ including the classical algorithm by Johnson and Trotter. Here we give an algorithm which constructs many families of Gray codes for $S_n$, which closely follows the construction of the Binary Reflexive Gray Code for the $n$-cube $Q_n$.
Classification : 94B60 68R05 20F65 05C38
Keywords: Algorithms, Combinatorial problems, Permutations, Gray codes 
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     title = {Note on {Gray} {Codes} for {Permutation} {Lists}},
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Seymour Lipschutz; Jie Gao; Dianjun Wang. Note on Gray Codes for Permutation Lists. Publications de l'Institut Mathématique, _N_S_78 (2005) no. 92, p. 87 . http://geodesic.mathdoc.fr/item/PIM_2005_N_S_78_92_a6/