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@bjoern-andres why are the results of lifted mc algorithms passed by edge labels of the lifted graph.
I propose to use the connected comp. labeling of the orginal graph. And there should be the guarantee that this connected comp. labeling is valid wrt. the path constraints / lifted stuff (all nodes with the same number must be connected with a path in the orginal graph).
Also internally, algorithms could use that representation since it should be cheaper in memory.
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