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| Presentation | 2016-09-15 11:05 A Fast Method for Finding the Edge to be Inserted to Minimize Betweenness Centrality of a Specified Vertex Toshiyuki Namba, Tatsuki Kohno, Norikazu Takahashi (Okayama Univ.)  NLP2016-56 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Betweenness centrality is a measure that represents the importance of each vertex of a graph. From the viewpoint of the robustness against attacks and failures, it is desired that all vertices take similar values of the betweenness centrality. A simple way to increase the robustness of a given graph is to insert a small number of edges so that the largest betweenness centrality decreases as much as possible. In this paper, we consider the problem of finding an edge to be inserted in order to minimize the betweenness centrality of a specified vertex of a given graph. We first analyze theoretically how the number and length of the shortest paths between any pair of two vertices are affected by an edge insertion. We then design a fast algorithm for solving the problem mentioned above, by using the theoretical results. We finally examine the efficiency of the proposed algorithm by some experiments on random graphs and scale-free graphs. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | complex network / betweenness centrality / robustness / edge insertion / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 215, NLP2016-56, pp. 63-68, Sept. 2016. | |
| Paper # | NLP2016-56 | |
| Date of Issue | 2016-09-07 (NLP) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
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) | |
| Download PDF | NLP2016-56 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2016-09-14 - 2016-09-15 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Konan Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2016-09-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Fast Method for Finding the Edge to be Inserted to Minimize Betweenness Centrality of a Specified Vertex |
| Sub Title (in English) | |
| Keyword(1) | complex network |
| Keyword(2) | betweenness centrality |
| Keyword(3) | robustness |
| Keyword(4) | edge insertion |
| Keyword(5) | |
| Keyword(6) | |
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| Keyword(8) | |
| 1st Author's Name | Toshiyuki Namba |
| 1st Author's Affiliation | Okayama University (Okayama Univ.) |
| 2nd Author's Name | Tatsuki Kohno |
| 2nd Author's Affiliation | Okayama University (Okayama Univ.) |
| 3rd Author's Name | Norikazu Takahashi |
| 3rd Author's Affiliation | Okayama University (Okayama Univ.) |
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| Speaker | Author-1 |
| Date Time | 2016-09-15 11:05:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2016-56 |
| Volume (vol) | vol.116 |
| Number (no) | no.215 |
| Page | pp.63-68 |
| #Pages | 6 |
| Date of Issue | 2016-09-07 (NLP) |
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