Open Research Index

Komlós conjecture

Gabriel Dahia

Palomar Registrypalomar/PALOMAR-2026-09-18-000003Sep 18, 2026math.COscore 0

Lean4 formalization of the Komlós bound with constant 36 following the Lovett—Karingula exposition. The Komlós statement gives signs for finitely many vectors of Euclidean norm at most 1 so that the signed sum has supremum norm at most 36. The Beck–Fiala statement gives a vertex colouring with edge discrepancy at most 36√t when every vertex belongs to at most t edges.

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