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A universal dichotomy for concentration in randomly colored graphs

math.CO · 2026-05-04 · unverdicted · novelty 6.0

A dichotomy governs concentration in randomly colored graphs: when the normalized degree sequence norm ζ is o(1), induced subgraph sizes concentrate; when ζ is Θ(1), monochromatic edge count M concentrates or not based on color balance.

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  • A universal dichotomy for concentration in randomly colored graphs math.CO · 2026-05-04 · unverdicted · none · ref 7

    A dichotomy governs concentration in randomly colored graphs: when the normalized degree sequence norm ζ is o(1), induced subgraph sizes concentrate; when ζ is Θ(1), monochromatic edge count M concentrates or not based on color balance.