Individuals have their own best ways to perceive information. Some of us prefer to "see" things. "Draw me a picture" you'll hear. Complexity can be somewhat reduced by having a diagram of the complex network we are studying.
Manuel Lima appreciates this point and has created visual complexity web-site visualizing complex networks for a number of domains. The index is a visual one. Nice. It's also a useful index of domains and entities that have visualizations of their networks.