How do I practice graph traversal?

The most direct way to practice graph traversal is through a focused exercise: Choose a concept you are currently thinking about — a problem, a project, an idea. Write it in the center of a blank page or document. Now perform three different traversals. First, go deep: pick one connection from that concept and follow it as far as you can, writing each hop as you go. Do not stop until you reach something that surprises you or until you run out of connections (aim for at least six hops). Second, go broad: return to your starting concept and list every direct connection you can think of — every related idea, every adjacent concept, every association. Write at least ten. Third, go random: close your eyes, point to one of the broad connections at random, and perform another depth-first traversal from that node. Compare the three paths. The depth traversal likely produced a single unexpected insight. The breadth traversal showed you the shape of your local knowledge. The random traversal combined the structure of depth with the surprise of chance. Note which traversal generated the most genuinely new thinking.

Common pitfall: Traversing the same paths every time. Your knowledge graph has thousands of connections, but without deliberate variation, you will walk the same familiar routes — the associations that fire most easily, the connections you have reinforced through repetition. This produces the illusion of thinking without any actual exploration. The traversal becomes a closed loop: comfortable, fast, and sterile. The antidote is intentional unfamiliarity — starting from unexpected nodes, following weak connections instead of strong ones, and deliberately walking paths you have never walked before.

This practice connects to Phase 18 (Knowledge Graphs) — building it as a repeatable habit compounds over time.