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math.CO2026
Vector Balancing via Directional Total Variation
Shengtao Guo, Ethan X. Fang, Junwei Lu
Our main result is a bound for the Komlós signing problem: every finite family of real vectors of Euclidean norm at most one admits a signed sum of -norm…
math.CO2026
On Unavoidable Faces of High-Dimensional Polytopes
Jesús A. De Loera, Ethan X. Fang, Shengtao Guo +2
Kalai's cube--simplex conjecture asserts that for all positive integers , there is an integer such that every polytope of dimension at least has eit…