Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, March 05, 2020, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Nadja Seiferth (FU Berlin)

Packing 2D disks into a 3D container

We consider the problem of finding in three dimensions a minimum volume axis-parallel box into which a given set of unit size disks can be packed under translations. The problem is neither known to be NP-hard nor to be in NP. We give a constant-factor approximation algorithm based on reduction to finding a shortest Hamiltonian path in a weighted graph. As a byproduct, we can show that there is no finite size container into which all unit disks can be packed simultaneously. This is joint work with Helmut Alt, Otfried Cheong, and Ji-won Park.

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