Enumerating minimum path splittings
In Section 9.6.5 we have found all shortest source-sink paths in the clique graph GC of the interval graph GI. We recall that each vertex in such a path corresponds to a clique in the interval graph, in other words, to a set of vertices in the original path P traveled by the user, which are bypassed by a unique set of shortcuts. Let Ci,j denote the clique containing intervals Ii,Ii+1,...,Ij.