Node-link Diagram
I added a new attribute to the dataset which is region.
In the node-link diagram, states in the same region likely stick together as they have links in between.
States in region which has less number of links spread out in the diagram. For example: look at the light-green color (South Atlantic), Florida is far apart with those states (DC, Maryland, Virginia, West Viginia, Delaware).
Thus, although the dataset is non-spatial, users can explore the relationship of nodes by looking the distance or number of hops in between.