1 research outputs found
Inapproximability of the Smallest Superpolyomino Problem
We consider the \emph{smallest superpolyomino problem}: given a set of
colored polyominoes, find the smallest polyomino containing each input
polyomino as a subshape. This problem is shown to be NP-hard, even when
restricted to a set of polyominoes using a single common color. Moreover, for
sets of polyominoes using two or more colors, the problem is shown to be
NP-hard to approximate within a -factor for any
.Comment: An abstract version has been submitted to Fall Workshop on
Computational Geometry 201