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math.CO2026
Unimodality of Independence Polynomials for Sufficiently Large Forests
Ethan X. Fang, Junwei Lu, Eran Nevo +2
We prove that the independence sequence of every sufficiently large forest is unimodal. The result follows from establishing log-concavity on a central interval of the sequence, al…
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…