What does it mean that visualize relationships as graphs?

Drawing nodes and edges makes complex relationship structures comprehensible.

Example: Your team has twelve active projects with dependencies across four departments. In a spreadsheet, the dependencies read as a wall of text — 'Project Alpha depends on Design and Backend; Project Beta depends on Backend and Data; Data depends on Infrastructure...' No one can see the bottleneck. The moment you draw each project as a circle and each dependency as a line, the picture is immediate: Infrastructure is a hub with seven lines radiating outward, and every critical path runs through it. The graph didn't add information. It made the structure visible.

Try this: Pick a system you navigate regularly — your team's reporting structure, your personal knowledge domains, the tools in your workflow. On paper or a whiteboard, draw each entity as a node (circle with a label). Then draw a line between any two nodes that have a direct relationship (reports to, depends on, feeds into, etc.). Don't worry about layout — just get the connections down. Then step back and look: which nodes have the most connections? Which are isolated? Where are the clusters? What you see in the graph is what you couldn't see in the list.