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math.CO2023
On cliques in three-dimensional dense point-line arrangements
Andrew Suk, Ji Zeng
As a variant of the celebrated Szemerédi--Trotter theorem, Guth and Katz proved that points and lines in with at most lines in a common plane must…
math.CO2023
Random Turán and counting results for general position sets over finite fields
Yaobin Chen, Xizhi Liu, Jiaxi Nie +1
Let denote the maximum size of a general position set in a -random subset of . We determine the order of magnitude of …