| Presentation | 2017-08-10 Rethinking the Meaning of Eigenvector Centrality Based on the Scaled Laplacian Matrix Chisa Takano, Masaki Aida, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | When we analyze the dynamics on the social media network, it is important to evaluate the strength of the activity of each node quantitatively, and a node centrality is known as an index which expresses such strength. Various node centralities have been proposed according to different criterion what characterize an important node. For example, there are the degree centrality, the betweenness centrality, the PageRank and the eigenvector centrality. We discussed generally extension of node centralities which can express different node centralities (degree and betweenness centralities) in a common framework using spectral graph theory. This paper focuses on the eigenvector centrality on which the PageRank is based and shows that its index may not turn out natural results which are acceptable intuitively. In addition, we reveal that the eigenvector centrality of an undirected graph corresponds to the PageRank of another directed graph by considering this fact in a framework of spectral graph theory, and elucidate relations between the eigenvector centrality and the PageRank. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | network analysis / eigenvector centrality / Laplacian mat |
| Paper # | CCS2017-12 |
| Date of Issue | 2017-08-03 (CCS) |
| Conference Information | |
| Committee | CCS |
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| Conference Date | 2017/8/10(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Bibai Onsen Yu-rinkan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Network Science, etc. |
| Chair | Naoki Wakamiya(Osaka Univ.) |
| Vice Chair | Mikio Hasegawa(Tokyo Univ. of Science) / Makoto Naruse(NICT) |
| Secretary | Mikio Hasegawa(Osaka Univ.) / Makoto Naruse(Tokyo City Univ.) |
| Assistant | Chisa Takano(Hirishima City Univ.) / Takashi Shimada(Univ. of Tokyo) / Tomoya Suzuki(Ibaraki Univ.) / Ryo Takahashi(AUT) |
| Paper Information | |
| Registration To | Technical Committee on Complex Communication Sciences |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Rethinking the Meaning of Eigenvector Centrality Based on the Scaled Laplacian Matrix |
| Sub Title (in English) | |
| Keyword(1) | network analysis |
| Keyword(2) | eigenvector centrality |
| Keyword(3) | Laplacian mat |
| 1st Author's Name | Chisa Takano |
| 1st Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 2nd Author's Name | Masaki Aida |
| 2nd Author's Affiliation | Tokyo Metropolitan University(Tokyo Metropolitan Univ.) |
| Date | 2017-08-10 |
| Paper # | CCS2017-12 |
| Volume (vol) | vol.117 |
| Number (no) | CCS-173 |
| Page | pp.pp.13-18(CCS), |
| #Pages | 6 |
| Date of Issue | 2017-08-03 (CCS) |