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Paper Abstract and Keywords
Presentation 2019-10-25 10:50
Simple Fold and Cut Problem for Line Segments
Guoxin Hu (JAIST), Shin-ichi Nakano (Gunma University), Ryuhei Uehara (JAIST), Takeaki Uno (NII) COMP2019-20
Abstract (in Japanese) (See Japanese page) 
(in English) We investigate a natural variant of the fold-and-cut problem. We are given a long paper strip P and n line segments drawn on P such that each line segment is perpendicular to the two long edges of P and the distances between the line segments are not uniform. We cut all the line segments by one complete straight cut after overlapping all of them by a sequence of simple foldings. Our goal is to minimize the number of simple foldings. In our paper, we give algorithms for finding a shortest sequence of simple foldings for given n line segments. We fi rst investigate the case that the distances are almost the same. In this case, our algorithm runs in O(n^2) time and O(n^2) space. Next we extend the algorithm for general distances. In general case, our algorithm runs in O(n^3) time and O(n^2) space.
Keyword (in Japanese) (See Japanese page) 
(in English) fold-and-cut problem / line segments / congruent isosceles triangles / dynamic programming / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 249, COMP2019-20, pp. 19-25, Oct. 2019.
Paper # COMP2019-20 
Date of Issue 2019-10-18 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP  
Conference Date 2019-10-25 - 2019-10-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Sapporo Campus, Hokkaido University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2019-10-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Simple Fold and Cut Problem for Line Segments 
Sub Title (in English)  
Keyword(1) fold-and-cut problem  
Keyword(2) line segments  
Keyword(3) congruent isosceles triangles  
Keyword(4) dynamic programming  
1st Author's Name Guoxin Hu  
1st Author's Affiliation Japan Advanced Istitute of Science and Techology (JAIST)
2nd Author's Name Shin-ichi Nakano  
2nd Author's Affiliation Gunma University (Gunma University)
3rd Author's Name Ryuhei Uehara  
3rd Author's Affiliation Japan Advanced Istitute of Science and Techology (JAIST)
4th Author's Name Takeaki Uno  
4th Author's Affiliation National Institute of Informatics (NII)
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Date Time 2019-10-25 10:50:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2019-20 
Volume (vol) IEICE-119 
Number (no) no.249 
Page pp.19-25 
#Pages IEICE-7 
Date of Issue IEICE-COMP-2019-10-18 

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