I would recommend to 'translate' your graph in a picture and dislay it in a picture control (see picture examples in LV6).
Once you did it, pictures have an extremely useful property called Mouse that returns the mouse coordinates and click events when you place the cursor on the picture.
By this you can re-arrange the graph on picture appearance.
There are also other methods such as using a Window's API that returns the mouse position referred to the whole screen window, but I believe this would be much more difficult to implement.
Let me know if this was clear and if you need an example vi.
Good luck,
Alberto