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math.CO2023★ 1 cited
VC-dimension and pseudo-random graphs
Thang Pham, Steven Senger, Michael Tait +1
Let be a graph and be a set of vertices. For each , let be the function defined by \[h_v(u)=\begin{cases} &1 ~\mbox{if}~u\sim…
math.CO2023
An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory
Alex Iosevich, Thang Pham, Steven Senger +1
The main purpose of this paper is to prove that the point-line incidence bound due to Vinh (2011) over arbitrary finite fields can be improved in certain ranges by using tools from…