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math.CO2026
Limitations of the slice rank method in additive combinatorics
Sankeerth Rao Karingula, Shachar Lovett
The slice rank method gives exponential bounds for sets with no three-term arithmetic progression in finite vector spaces of odd characteristic and for three-sunflower-free familie…
math.CO2026
An elementary proof of the Komlós conjecture
Sankeerth Rao Karingula, Shachar Lovett
We give an elementary proof of the Komlós conjecture by simplifying the recent proof of Guo, Fang, and Lu. We show that any vectors with $\|v_i\|_2\…