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math.CO2023
Generalized point configurations in
Paige Bright, Xinyu Fang, Barrett Heritage +4
In this paper, we generalize \cite{IosevichParshall}, \cite{LongPaths} and \cite{cycles} by allowing the \emph{distance} between two points in a finite field vector space to be def…
math.CO2023
Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields
Paige Bright, Xinyu Fang, Barrett Heritage +2
The fourth listed author and Hans Parshall (\cite{IosevichParshall}) proved that if , , and is a connected graph on vertices such that…