On tiling under tomographic constraints

Share/Save/Bookmark

Chrobak, Marek and Couperus, Peter and Dürr, Christoph and Woeginger, Gerhard (2003) On tiling under tomographic constraints. Theoretical Computer Science, 290 (3). pp. 2125-2136. ISSN 0304-3975

[img] PDF
Restricted to UT campus only
: Request a copy
179kB
Abstract:Given a tiling of a 2D grid with several types of tiles, we can count for every row and column how many tiles of each type it intersects. These numbers are called the projections. We are interested in the problem of reconstructing a tiling which has given projections. Some simple variants of this problem, involving tiles that are 1×1 or 1×2 rectangles, have been studied in the past, and were proved to be either solvable in polynomial time or NP-complete. In this note, we make progress toward a comprehensive classification of various tiling reconstruction problems, by proving NP-completeness results for several sets of tiles.
Item Type:Article
Copyright:© 2003 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/75176
Official URL:http://dx.doi.org/10.1016/S0304-3975(02)00542-X
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page

Metis ID: 213200