How Is Harmonic Centrality Calculated?
For a node v, find the shortest directed path from v to every other node u. Add 1 / d(v,u) for each reachable node, where d(v,u) is that shortest path length.
A directly linked node is distance 1 and contributes 1. A node two links away contributes 0.5. Longer paths contribute less. Unreachable nodes contribute zero, so the sum can be computed even when the graph is disconnected.
This site looks up the precomputed domain-level score released by Common Crawl; it does not recalculate a web-scale graph for each request. See how Common Crawl builds its graph and look up a domain.
This answer describes the metric used by the HarmonicCentrality.org calculator. Common Crawl’s graph releases and methods can change; check the release shown with each score.