Geodesic
A Loopless Implementation of a Gray Code for Signed Permutations
Publications de l'Institut Mathématique, _N_S_89 (2011) no. 103, p. 37

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Conway, Sloane and Wilks [2] proved the existence of a Gray code for the reflection group $B_n$. The elements of this group are the signed permutations of the set ${1,2,\dots,n}$. Here we give a loopless algorithm which generates a specific Gray code for $B_n$.
Classification : 68R05 05A05
Keywords: algorithms, combinatorial, loopless, gray code, reflection groups, signed permutations 
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James Korsh; Paul LaFollette; Seymour Lipschutz. A Loopless Implementation of a Gray Code for Signed Permutations. Publications de l'Institut Mathématique, _N_S_89 (2011) no. 103, p. 37 . http://geodesic.mathdoc.fr/item/PIM_2011_N_S_89_103_a3/