Cosmin Pohoata

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20222024

most citedConvex polytopes from fewer points

2 citations · 3 across the 4 of their papers we have counts for

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math.CO2023★ 1 cited

A new upper bound for the Heilbronn triangle problem

Alex Cohen, Cosmin Pohoata, Dmitrii Zakharov

For sufficiently large $n$ , we show that in every configuration of $n$ points chosen inside the unit square there exists a triangle of area less than $n^{- 8/7 - 1/2000}$ . This improv…

math.CO2022★ 2 cited

Convex polytopes from fewer points

Cosmin Pohoata, Dmitrii Zakharov

Let $E S_{d} (n)$ be the smallest integer such that any set of $E S_{d} (n)$ points in $R^{d}$ in general position contains $n$ points in convex position. In 1960, Erdős and S…