Hi,

I am solving a problem where I want know that whether certain vertices on a 
hyperplane are connected to each other or not (i.e there exists an edge 
between two vertices). Say in a 2D plane, if I have 3 or more vertices 
(points), how can I decide that if all or some of these vertices are 
connected to each other? Similar is the problem for a hyperplane. Do we 
have any function/class is sage that can do it? I heard about convex hull 
algorithms but I don't know how to apply them to this problem. OR can we 
use graphs to solve this problem?

Any help/hint in this regard will be highly appreciated.

Thanks

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