Gray codes for reflection groups
- Cite this article as:
- Conway, J.H., Sloane, N.J.A. & Wilks, A.R. Graphs and Combinatorics (1989) 5: 315. doi:10.1007/BF01788686
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LetG be a finite group generated by reflections. It is shown that the elements ofG can be arranged in a cycle (a “Gray code”) such that each element is obtained from the previous one by applying one of the generators. The case G =A1n yields a conventional binary Gray code. These generalized Gray codes provide an efficient way to run through the elements of any finite reflection group.