Hello,

I am not sure I am posting in the right section so please tell me if I need to move this thread.

I am facing a quite difficult problem. Here it is:

Let .

Let us denote by the convex hull of the points .

is the set of extremal points of (ie those at the boundary of the convex hull) and are the indexes of those points.

Finally, we define the correspondence where .

It is only a guess, but I think that equals either , or where index is such that .

If you have any hint on this topic, please let me know !

Thanks.