The "Game about Squares" is NP-hard
Computational Complexity
2014-08-21 v2 Combinatorics
Abstract
In the "Game about Squares" the task is to push unit squares on an integer lattice onto corresponding dots. A square can only be moved into one given direction. When a square is pushed onto a lattice point with an arrow the direction of the square adopts the direction of the arrow. Moreover, squares can push other squares. In this paper we study the decision problem, whether all squares can be moved onto their corresponding dots by a finite number of pushes. We prove that this problem is NP-hard.
Cite
@article{arxiv.1408.3645,
title = {The "Game about Squares" is NP-hard},
author = {Jens Maßberg},
journal= {arXiv preprint arXiv:1408.3645},
year = {2014}
}
Comments
6 pages