| Presentation | 2009-10-23 Effects of hierarchical structure of complex networks on the measurement of PageRank in the World Wide Web Naoki MASUDA, Yoji KAWAMURA, Hiroshi KORI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Many complex networks found in natural and engineering systems are directed in the meaning that each link has direction. The direction of the link represents the asymmetric relationship between two nodes. For example, the node at the source of a link may control the one at the target of the same link. A representative centrality measure (i.e., importance of nodes) for directed networks is the PageRank used in the search engine of Google. In practice, it is difficult to obtain the exact values of the PageRank because of the huge size of relevant networks and incomplete information about the presence or the absence of nodes and links in networks. We present an approximation scheme for the PageRank in the case in which the network has community structure. Using the so-called matrix-tree theorem, we approximate the PageRank of a node by combining the strength of the node within the module that it belongs to and the strength of the module in the coarse grained global network among modules. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | complex networks / centrality / directed graph / community structure / matrix-tree theorem |
| Paper # | SR2009-66,AN2009-36,USN2009-39 |
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| Committee | SR |
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| Conference Date | 2009/10/15(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Software Radio(SR) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Effects of hierarchical structure of complex networks on the measurement of PageRank in the World Wide Web |
| Sub Title (in English) | |
| Keyword(1) | complex networks |
| Keyword(2) | centrality |
| Keyword(3) | directed graph |
| Keyword(4) | community structure |
| Keyword(5) | matrix-tree theorem |
| 1st Author's Name | Naoki MASUDA |
| 1st Author's Affiliation | Graduate School of Information Science and Technology, The University of Tokyo:PRESTO, Japan Science and Technology Agency() |
| 2nd Author's Name | Yoji KAWAMURA |
| 2nd Author's Affiliation | Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology |
| 3rd Author's Name | Hiroshi KORI |
| 3rd Author's Affiliation | Division of Advanced Sciences, Ochadai Academic Production, Ochanomizu University:PRESTO, Japan Science and Technology Agency |
| Date | 2009-10-23 |
| Paper # | SR2009-66,AN2009-36,USN2009-39 |
| Volume (vol) | vol.109 |
| Number (no) | 246 |
| Page | pp.pp.- |
| #Pages | 2 |
| Date of Issue | |