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Paper Abstract and Keywords
Presentation 2018-09-18 11:05
Max-Min Dispersion on a Line
Tetsuya Araki (Tokyo Metropolitan Univ), Shin-ichi Nakano (Gunma Univ) COMP2018-11
Abstract (in Japanese) (See Japanese page) 
(in English) Given a set P of n locations on which facilities can be placed and an integer k, we want to place k facilities on some locations so that a designated objective function is maximized. The problem is called the k-dispersion problem. In this paper we give a simple O(n) time algorithm to solve the max-min version of the k-dispersion problem if P is a set of points on a line. This is the first O(n) time algorithm to solve the max-min k-dispersion problem for the set of “unsorted” points on a line. If P is a set of sorted points on a line, and the input is given as an array in which the coordinates of the points are stored in the sorted order, then by slightly modifying the algorithm above one can solve the dispersion problem in O(log n) time. This is the first sublinear time algorithm to solve the max-min k-dispersion problem for the set of sorted points on a line.
Keyword (in Japanese) (See Japanese page) 
(in English) dispersion problem / algorithm / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 216, COMP2018-11, pp. 17-21, Sept. 2018.
Paper # COMP2018-11 
Date of Issue 2018-09-11 (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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP  
Conference Date 2018-09-18 - 2018-09-18 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyusyu Institute of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2018-09-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Max-Min Dispersion on a Line 
Sub Title (in English)  
Keyword(1) dispersion problem  
Keyword(2) algorithm  
1st Author's Name Tetsuya Araki  
1st Author's Affiliation Tokyo Metropolitan University (Tokyo Metropolitan Univ)
2nd Author's Name Shin-ichi Nakano  
2nd Author's Affiliation Guinma University (Gunma Univ)
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Date Time 2018-09-18 11:05:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2018-11 
Volume (vol) IEICE-118 
Number (no) no.216 
Page pp.17-21 
#Pages IEICE-5 
Date of Issue IEICE-COMP-2018-09-11 

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