The Cosine Drainage Theorem: A Rank-One Proof and a Cross-Family Conjecture for Embedded Non-Regular Graphs
Michael Godat · Zenodo (CERN European Organization for Nuclear Research) · 2026
Contact: [email protected]. Cosine-similarity-biased traversal of high-dimensional embedded graphs systematically fails to reach graph-reachable targets. This paper proves the Rank-One Cosine Drainage Theorem under the Chung-Lu model. Multi-Anchor expansion outperforms single-source cosine in all 15 evaluated graph families. GitHub: github.com/mjgodat/cosine-drainage-theorem