منابع مشابه
Shotgun Assembly of Random Jigsaw Puzzles
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...
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In recent work by Mossel and Ross, it was asked how large q has to be for a random jigsaw puzzle with q different shapes of “jigs” to have exactly one solution. The jigs are assumed symmetric in the sense that two jigs of the same type always fit together. They showed that for q = o(n) there are a.a.s. multiple solutions, and for q = ω(n) there is a.a.s. exactly one. The latter bound has since ...
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ژورنال
عنوان ژورنال: Random Structures & Algorithms
سال: 2020
ISSN: 1042-9832,1098-2418
DOI: 10.1002/rsa.20899