Imagine thinking in concepts instead of images. I can't visualize a hammer or a face, but I don't have trouble with a multidimensional array or a graph.
I can't visualize anything. If I close my eyes, I just see some vague light coming through my eyelids. I can "imagine" for a lack of a better word, the graph and all the nodes and edges "existing", and can reason about its properties based on that.