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Paper Abstract and Keywords
Presentation 2015-12-01 14:20
[Invited Talk] Fiding a Stable Allocation in Polymatroid Intersection
Satoru Iwata, Yu Yokoi (Univ. Tokyo) COMP2015-34
Abstract (in Japanese) (See Japanese page) 
(in English) The stable matching model of Gale and Shapley (1962) has been generalized in various directions such as matroid kernels due to Fleiner (2001) and stable allocations in bipartite networks due to Ba¨ ıou and Balinski (2002). In this talk, we introduce the concept of stable allocations in polymatroid intersection, which serves as a comprehensive framework that unifies these generalizations. We present a strongly polynomial algorithm for finding a stable allocation in polymatroid intersection. To achieve this, we utilize the augmenting path technique for polymatroid intersection. In each iteration, the algorithm searches for an augmenting path by simulating a chain of proposes and rejects in the deferred acceptance algorithm. The running time of our algorithm is $O(n^3gamma)$, where $n$ and $gamma$ respectively denote the cardinality of the ground set and the time for computing the saturation and exchange capacities. This talk is based on the authors’ paper that is to appear in Proceedings of the 27th Annual ACM-SIAM Symposium on Discrete Algorithms, January, 2016.
Keyword (in Japanese) (See Japanese page) 
(in English) Stable matching / Polymatroid / Strongly polynomial algorithm / / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 344, COMP2015-34, pp. 25-25, Dec. 2015.
Paper # COMP2015-34 
Date of Issue 2015-11-24 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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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 2015-12-01 - 2015-12-01 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To COMP 
Conference Code 2015-12-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Fiding a Stable Allocation in Polymatroid Intersection 
Sub Title (in English)  
Keyword(1) Stable matching  
Keyword(2) Polymatroid  
Keyword(3) Strongly polynomial algorithm  
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1st Author's Name Satoru Iwata  
1st Author's Affiliation Tokyo University (Univ. Tokyo)
2nd Author's Name Yu Yokoi  
2nd Author's Affiliation Tokyo University (Univ. Tokyo)
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Speaker
Date Time 2015-12-01 14:20:00 
Presentation Time 60 
Registration for COMP 
Paper # IEICE-COMP2015-34 
Volume (vol) IEICE-115 
Number (no) no.344 
Page p.25 
#Pages IEICE-1 
Date of Issue IEICE-COMP-2015-11-24 


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