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math.MG2019
A note on the extremal noncentral sections of the cross-polytope
Ruoyuan Liu, Tomasz Tkocz
We find minimal and maximal length of intersections of lines at a fixed distance to the origin with the cross-polytope. We also find maximal volume noncentral sections of the cross…
math.CO2019
On random multi-dimensional assignment problems
Alan Frieze, Wesley Pegden, Tomasz Tkocz
We study random multidimensional assignment problems where the costs decompose into the sum of independent random variables. In particular, in three dimensions, we assume that the…