Moving Point Graph

I’m using Point Graph, all points are child for one object. This object is changing his Y position. When I calculate the path the nodes of the path are calculated based on the initial position of the nodes of the graph. But I want to have a path based on actual node positions.

So the question is, what is the correct way to manage with a moving point graph? Maybe I can get a related GameObject for GraphNode?


Does the graph move all the time, or just sometimes?