Xinyu Fang

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math.CO2023

Generalized point configurations in $F_{q}^{d}$

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 $E \subset F_{q}^{d}$ , $d \geq 2$ , and $G$ is a connected graph on $k + 1$ vertices such that…

Generalized point configurations in Fqd​

Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields

Generalized point configurations in $F_{q}^{d}$