[R] getting all circular arrangements without accounting for order
maitra at email.com
Fri Mar 30 03:48:32 CEST 2018
I would like to get all possible arrangements of n objects listed 1:n on a circle.
Now this is easy to do in R. Keep the last spot fixed at n and fill in the rest using permuations(n-1, n-1) from the gtools package.
However, what if clockwise or counterclockwise arrangements are the same? I know that half of the above (n - 1)! arrangements are redundant.
Is there an easy way to list these (n-1)!/2 arrangements?
I thought of only listing the first half from a call to permuations(n - 1, n - 1), but while this holds for n = 4, it does not for n = 5. So, I am wondering if there is another function or tweak which would easily do this.
Many thanks in advance for any help. and best wishes,
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