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Paper Abstract and Keywords
Presentation 2004-10-15 10:30
Tiling Problems with the Edge-Overwriting Rule
Kazuo Iwama (Kyoto Univ.), Kousuke Izumi, Eiji Miyano (Kyushu Inst. Tech.), Hirotaka Ono (Kyushu Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Ordinary tiling problems using 1x1 squares with colored edges
(say Wang tiles) assume that if two tiles touch then the color of their
shared edges must be the same. In this paper, we consider tiling
problems under a new rule, edge-overwriting rule in
which any tiles can touch but the color of the shared edges after tiling
is determined by the edge color of the tile tiled later. The problem
input is a pair of a target figure and a tile set to be used, and the
output is a sequence of tiles which realizes the target figure under
the edge-overwriting rule. We show the sufficient and necessary
condition of a tile set to realize any target figure, and then show
NP-hardness proof and an approximation algorithm for the problem of
minimizing the number of tiles realizing target figures.
Keyword (in Japanese) (See Japanese page) 
(in English) tiling / overwriting / NP-hardness / approximation algorithm / / / /  
Reference Info. IEICE Tech. Rep., vol. 104, no. 339, COMP2004-43, pp. 1-5, Oct. 2004.
Paper # COMP2004-43 
Date of Issue 2004-10-07 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee COMP  
Conference Date 2004-10-14 - 2004-10-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2004-10-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Tiling Problems with the Edge-Overwriting Rule 
Sub Title (in English)  
Keyword(1) tiling  
Keyword(2) overwriting  
Keyword(3) NP-hardness  
Keyword(4) approximation algorithm  
1st Author's Name Kazuo Iwama  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Kousuke Izumi  
2nd Author's Affiliation Kyushu Institute of Technology (Kyushu Inst. Tech.)
3rd Author's Name Eiji Miyano  
3rd Author's Affiliation Kyushu Institute of Technology (Kyushu Inst. Tech.)
4th Author's Name Hirotaka Ono  
4th Author's Affiliation Kyushu University (Kyushu Univ.)
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Date Time 2004-10-15 10:30:00 
Presentation Time 30 
Registration for COMP 
Paper # IEICE-COMP2004-43 
Volume (vol) IEICE-104 
Number (no) no.339 
Page pp.1-5 
#Pages IEICE-5 
Date of Issue IEICE-COMP-2004-10-07 

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