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Paper Abstract and Keywords
Presentation 2013-12-21 16:05
Approximability of graph orientation problems with degree constraints
Yuichi Asahiro (Kyushu Sangyo Univ.), Jesper Jansson (Kyoto Univ.), Eiji Miyano (Kyushu Institute of Technology), Hirotaka Ono (Kyushu Univ.) COMP2013-58
Abstract (in Japanese) (See Japanese page) 
(in English) A degree-constrained graph orientation of an undirected graph is an assignment of a direction to each
edge in the graph such that the outdegree of every vertex in the resulting directed graph satisfies a prescribed lower
and/or upper bound. Such graph orientations have been studied in many literatures and various characterizations
are known. We consider two related optimization problems introduced in [3]: For any fixed non-negative integer W,
the problem Max W-Light (or Min W-Heavy) takes as input an undirected graph G and ask for an orientation of
G that maximizes (or minimizes) the number of vertices with outdegree at most W (or at least W). The problems’
computational complexities vary with W. In this paper we show several results related to their polynomial-time
Keyword (in Japanese) (See Japanese page) 
(in English) graph orientation / degree / greedy algorithm / (in)approximability / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 371, COMP2013-58, pp. 123-130, Dec. 2013.
Paper # COMP2013-58 
Date of Issue 2013-12-13 (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 2013-12-20 - 2013-12-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Okinawa Industry Support Center 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2013-12-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Approximability of graph orientation problems with degree constraints 
Sub Title (in English)  
Keyword(1) graph orientation  
Keyword(2) degree  
Keyword(3) greedy algorithm  
Keyword(4) (in)approximability  
1st Author's Name Yuichi Asahiro  
1st Author's Affiliation Kyushu Sangyo University (Kyushu Sangyo Univ.)
2nd Author's Name Jesper Jansson  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
3rd Author's Name Eiji Miyano  
3rd Author's Affiliation Kyushu Institute of Technology (Kyushu Institute of Technology)
4th Author's Name Hirotaka Ono  
4th Author's Affiliation Kyushu University (Kyushu Univ.)
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Date Time 2013-12-21 16:05:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2013-58 
Volume (vol) IEICE-113 
Number (no) no.371 
Page pp.123-130 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2013-12-13 

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