How do you remove isolated roads from a bigger network?

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I'm trying to perform an OD Cost Matrix calculation on a set of points using a road network from OpenStreetMap data. The network contains lots of roads that don't connect to the rest of the network. In the case where a point snaps to such a place on the network, it can't reach any other sample points.

How do I remove these sections of road? Or if that's not possible, how could I systematically identify those areas and connect them to the rest of the network?



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