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Paper Abstract and Keywords
Presentation 2014-04-24 10:20
Thin strip graphs
Yota Otachi (JAIST), Akitoshi Kawamura (Univ. of Tokyo), Hidehiro Shinohara (Tohoku Univ.), Takashi Hayashi, Koichi Yamazaki (Gunma Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) A unit disk graph is a emph{$c$-strip graph} if it has a unit disk representation in which all centers of the unit disks lie in a parallel strip of width $c$. The classes of $c$-strip graphs for various $c$ are studied in the literature. For example, the $0$-strip graphs are exactly the unit interval graphs, and any $sqrt{3}/2$-strip graph is a co-comparability graph. In this paper, we introduce the class of thin strip graphs and study their property. A graph is a emph{thin strip graph} if it is a $c$-strip graph for any $c > 0$. We show that there is no constant $t$ such that the $t$-strip graphs are exactly the thin strip graphs. We also show that the class of thin strip graphs properly contains a proper superclass of the class of unit interval graphs, which is called the emph{mixed unit interval graphs}.
Keyword (in Japanese) (See Japanese page) 
(in English) Unit disk graph / Thin strip graph / Mixed unit interval graph / / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 19, COMP2014-1, pp. 1-4, April 2014.
Paper # COMP2014-1 
Date of Issue 2014-04-17 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Committee COMP  
Conference Date 2014-04-24 - 2014-04-24 
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 2014-04-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Thin strip graphs 
Sub Title (in English)  
Keyword(1) Unit disk graph  
Keyword(2) Thin strip graph  
Keyword(3) Mixed unit interval graph  
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1st Author's Name Yota Otachi  
1st Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
2nd Author's Name Akitoshi Kawamura  
2nd Author's Affiliation University of Tokyo (Univ. of Tokyo)
3rd Author's Name Hidehiro Shinohara  
3rd Author's Affiliation Tohoku University (Tohoku Univ.)
4th Author's Name Takashi Hayashi  
4th Author's Affiliation Gunma University (Gunma Univ.)
5th Author's Name Koichi Yamazaki  
5th Author's Affiliation Gunma University (Gunma Univ.)
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Speaker
Date Time 2014-04-24 10:20:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2014-1 
Volume (vol) IEICE-114 
Number (no) no.19 
Page pp.1-4 
#Pages IEICE-4 
Date of Issue IEICE-COMP-2014-04-17 


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