Brett Leroux

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20192025

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math.MG2021

Improved bounds for the expected number of $k$ -sets

Brett Leroux, Luis Rademacher

Given a finite set of points $S \subset R^{d}$ , a $k$ -set of $S$ is a subset $A \subset S$ of size $k$ which can be strictly separated from $S ∖ A$ by a hyperplane. S…

math.MG2019

Algebraic $k$ -sets and generally neighborly embeddings

Brett Leroux, Luis Rademacher

Given a set $S$ of $n$ points in $R^{d}$ , a $k$ -set is a subset of $k$ points of $S$ that can be strictly separated by a hyperplane from the remaining $n - k$ points. Similarl…

Improved bounds for the expected number of k-sets

Algebraic k-sets and generally neighborly embeddings

Improved bounds for the expected number of $k$ -sets

Algebraic $k$ -sets and generally neighborly embeddings