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arXiv · 2611.03427

Proving the Komlós conjecture slowly

Lawrence Hollom
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Abstract

The Komlós conjecture was a long-standing open problem in discrepancy theory until it was recently solved in a flurry of AI developments. We give a motivated exposition of an elementary proof of the conjecture due to Karingula and Lovett, as well as a counterexample to the strong Komlós conjecture due to Kintali, aiming to introduce the ideas in a gentle and explained manner in order to ease the understanding of the proofs. We conclude with several problems which remain open.

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Lawrence Hollom. 2026-11-02. Proving the Komlós conjecture slowly. https://arxiv.org/abs/2611.03427

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