4 citations · 4 across the 3 of their papers we have counts for
4 papers
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 denote the maximum size of any array of permutations on …
Bounds for Permutation Arrays under Kendall Tau Metric
Sergey Bereg, William Bumpass, Mohammadreza Haghpanah +2
Permutation arrays under the Kendall- metric have been considered for error-correcting codes. Given and , the task is to find a large permutation arr…
Constructing Order Type Graphs using an Axiomatic Approach
Sergey Bereg, Mohammadreza Haghpanah
A given order type in the plane can be represented by a point set. However, it might be difficult to recognize the orientations of some point triples. Recently, Aichholzer \etal \c…
New Lower Bounds for Tverberg Partitions with Tolerance in the Plane
Sergey Bereg, Mohammadreza Haghpanah
Let be a set points in a -dimensional space. Tverberg's theorem says that, if is at least , then can be partitioned into sets whose convex hull…