M. Haghpanah

most citedNew Lower Bounds for Tverberg Partitions with Tolerance in the Plane

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

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math.CO2023

Improved Bounds for Permutation Arrays Under Chebyshev Distance

Sergey Bereg, Mohammadreza Haghpanah, Brian Malouf +1

Permutation arrays under the Chebyshev metric have been considered for error correction in noisy channels. Let $P (n, d)$ denote the maximum size of any array of permutations on $n$ …

math.CO2023

Bounds for Permutation Arrays under Kendall Tau Metric

Sergey Bereg, William Bumpass, Mohammadreza Haghpanah +2

Permutation arrays under the Kendall- $τ$ metric have been considered for error-correcting codes. Given $n$ and $d \in [1.. (2 n)]$ , the task is to find a large permutation arr…

math.CO2020★ 4 cited

New Lower Bounds for Tverberg Partitions with Tolerance in the Plane

Sergey Bereg, Mohammadreza Haghpanah

Let $P$ be a set $n$ points in a $d$ -dimensional space. Tverberg's theorem says that, if $n$ is at least $(k - 1) (d + 1) + 1$ , then $P$ can be partitioned into $k$ sets whose convex hull…