Title
An algorithm for deciding if a polyomino tiles the plane
Abstract
For polyominoes coded by their boundary word, we describe a quadratic O(n(2)) algorithm in the boundary length n which improves the naive O(n(4)) algorithm. Techniques used emanate from algorithmics, discrete geometry and combinatorics on words.
Year
DOI
Venue
2007
10.1051/ita:2007012
RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS
Keywords
Field
DocType
polyominoes,tiling the plane by translation,theorem of Beauquier-Nivat,pseudo-square,pseudo-hexagon,enumeration of special classes of polyominoes
Discrete geometry,Discrete mathematics,Combinatorics,Algorithmics,Polyomino,Enumeration,Algorithm,Mathematics,Combinatorics on words
Journal
Volume
Issue
ISSN
41
2
0988-3754
Citations 
PageRank 
References 
7
0.73
8
Authors
2
Name
Order
Citations
PageRank
Ian Gambini1102.47
Laurent Vuillon218626.63