Degree, betweenness, and eigenvector centrality hint at influence, vulnerability, and reach. Translate scores into actions: mentor overloaded hubs, strengthen bridges, or decentralize risky dependencies. We provide an approachable checklist for choosing metrics aligned with outcomes, not just mathematical elegance.
Communities reveal hidden neighborhoods of ideas. Use clustering to discover fields converging, then name clusters carefully to avoid reifying accidents. A graduate student spotted an emerging methodology by labeling a faintly connected group and inviting experts to critique or validate the tentative signal.
Queries are instruments of curiosity. Practice path searches, neighborhood expansions, and constraints to test hypotheses gently. Keep results human-readable, with examples and counterexamples. Share your queries in comments, and we will feature inventive ones in future posts, crediting contributors generously.