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HITS (Hyperlink-Induced Topic Search) defines a mutually reinforcing, iterative computation over directed hyperlink graphs that separates web pages into two distinct authority roles: hubs (pages linking to many quality resources) and authorities (pages linked to by many quality hubs), solving the problem of identifying high-quality topical resources from link structure alone without relying on content analysis. The core mechanism executes repeated matrix-vector multiplications on the adjacency matrix of a query-specific subgraph (the "base set" expanded via neighborhood sampling), converging via principal eigenvector extraction to produce hub and authority weight scores that amplify pages receiving links from well-connected hub pages. This eigenvector-based, query-dependent link analysis directly informs search ranking by demonstrating that in-link count alone is insufficient - link source quality propagates authority transitively, establishing the theoretical foundation for trust-weighted, graph-theoretic ranking signals that later shaped PageRank's global, query-independent implementation and modern link equity models in crawl prioritisation and index scoring.