@article{Bordenave2016ShotgunAO,
title={Shotgun Assembly of Random Jigsaw Puzzles},
author={Charles Bordenave and Uriel Feige and Elchanan Mossel},
journal={CoRR},
year={2016},
volume={abs/1605.03086}
}

In a recent work, Mossel and Ross considered the shotgun assembly problem for a random jigsaw puzzle. Their model consists of a puzzle an n×n grid, where each vertex is viewed as a center of a piece. They assume that each of the four edges adjacent to a vertex, is assigned one of q colors (corresponding to ”jigs”, or cut shapes) uniformly at random. Mossel and Ross asked: how large should q = q(n) be so that with high probability the puzzle can be assembled uniquely given the collection of… CONTINUE READING