https://cis.temple.edu/~giorgio/cis587/readings/constraints.html
This can be seen by example: for the value LASER for 1ACROSS we are unable to find a consistent value for 2DOWN. A solution to a CS problem gives a value ui to each variable xi of the problem. These values satisfy all the constraints of the problem. That is, the CS problem with domains D1' = {u1}, D2' = {u2}, .., Dn' = {un}
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https://cis.temple.edu/~latecki/Papers/skeletonPAMI06.pdf
Therefore, the whole skeleton branch that ends at vertex ui is eliminated with skeleton pruning. This fact is proven in Theorem 3 in the Appendix. Although convex vertices from DCE can prune skeletons to get clear structures, they may also generate unimportant skeleton branches. We illustrated this problem with Fig. 11. The vertices A,