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math.CO2025
Multicolor Erdős--Rogers Functions
Hong Liu, Haoran Luo, Minghui Ouyang
In this paper, we study a multicolor variant of Erdős--Rogers functions. Let be the largest integer such that there is always an induced…
math.CO2025
Maximum number of points in general position in a random subset of finite -dimensional spaces
József Balogh, Haoran Luo
Let be the maximum possible size of a point set in general position in the -random subset of . In this note, we determine the order of ma…