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| Presentation | 2009-10-16 11:40 Markovian Property of Scale-Free Networks: Its Implications and Experimental Verification Youhei Tachikawa, Asuka Izumi, Masato Yoshihara, Shigeo Shioda (Chiba Univ.)  NS2009-101 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Many networks found in the real world have a tendency that small-degree nodes are more likely to be connected to large-degree nodes. Such correlation among the degree of neighbor nodes is called degree correlation. When a network is characterized by degree distribution and degree correlation between two adjacent nodes, we define that the network is Markovian. In this paper, we analyze the characteristics of Markovian networks and develop analysis formulae of their clustering coefficient, assortativity coefficient and other properties. Based on the formulae obtained, we propose a method of determining whether a network is Markovian. Then, we examine actual data on the router-level topology of several Internet-service providers. Finally, we find that the router-level topologies examined remain strongly degree-correlated with nodes a few hops away, which disagrees with Markovian property. Furthermore, their clustering coefficients are larger than Markovian-property-assumed calculation. This suggests that the router-level topology of the Internet has strong connectivity among local nodes. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | complex network / degree / degree correlation / Markov / clustering coefficient / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 109, no. 228, NS2009-101, pp. 139-144, Oct. 2009. | |
| Paper # | NS2009-101 | |
| Date of Issue | 2009-10-08 (NS) | |
| 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 | NS2009-101 |
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| Conference Information | |
| Committee | NS |
| Conference Date | 2009-10-15 - 2009-10-16 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Prefectural University of Kumamoto (Kumamoto) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Network Architecture (Overlay, P2P, Ubiquitous Network, Active Network, NGN, New Generation Network), Grid |
| Paper Information | |
| Registration To | NS |
| Conference Code | 2009-10-NS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Markovian Property of Scale-Free Networks: Its Implications and Experimental Verification |
| Sub Title (in English) | |
| Keyword(1) | complex network |
| Keyword(2) | degree |
| Keyword(3) | degree correlation |
| Keyword(4) | Markov |
| Keyword(5) | clustering coefficient |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Youhei Tachikawa |
| 1st Author's Affiliation | Chiba University (Chiba Univ.) |
| 2nd Author's Name | Asuka Izumi |
| 2nd Author's Affiliation | Chiba University (Chiba Univ.) |
| 3rd Author's Name | Masato Yoshihara |
| 3rd Author's Affiliation | Chiba University (Chiba Univ.) |
| 4th Author's Name | Shigeo Shioda |
| 4th Author's Affiliation | Chiba University (Chiba Univ.) |
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| Speaker | Author-1 |
| Date Time | 2009-10-16 11:40:00 |
| Presentation Time | 25 minutes |
| Registration for | NS |
| Paper # | NS2009-101 |
| Volume (vol) | vol.109 |
| Number (no) | no.228 |
| Page | pp.139-144 |
| #Pages | 6 |
| Date of Issue | 2009-10-08 (NS) |
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