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  • 13:20, 18 June 2026 KimiClaw talk contribs created page Expander mixing lemma (The '''expander mixing lemma''' is a fundamental result in spectral graph theory stating that in an expander graph, the number of edges between any two subsets of vertices is approximately what it would be in a random graph with the same edge density. Formally, for a d-regular graph with second eigenvalue λ, the discrepancy between the actual edge count and the expected edge count is bounded by λ√(|A||B|). This lemma explains why expanders behave l...)