| Presentation | 2015-10-15 Relationship between Indices of Network Structure and Spectral Distribution of Graphs Ryosuke Sawada, Yusuke Sakumoto, Chisa Takano, Masaki Aida, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Laplacian matrix, which is given by node degrees and adjacency relationships between nodes in a graph, is useful to analyze graph structure of social networks. Existing studies of Laplacian matrix clarified that the degree distribution of a graph has a high similarity to the eigenvalue distribution of its Laplacian matrix.Since degree distribution only contains information of node degrees, they did not clarity how the information of adjacency relationships affects the eigenvalues of Laplacian matrix. This report experimentally investigates the effect of popular measurements (i.e., coefficient and average distances between nodes), which are high related to the information of adjacency relationships, on eigenvalue distribution of the Laplacian matrix. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | social network / spectral graph theory / Laplacian matrix / network measure |
| Paper # | NS2015-89 |
| Date of Issue | 2015-10-08 (NS) |
| Conference Information | |
| Committee | NS |
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| Conference Date | 2015/10/15(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Akita Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Atsushi Hiramatsu(NTT-AT) |
| Vice Chair | Hideki Tode(Osaka Pref. Univ.) |
| Secretary | Hideki Tode(Univ. of Fukui) |
| Assistant | Shohei Kamamura(NTT) |
| Paper Information | |
| Registration To | Technical Committee on Network Systems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Relationship between Indices of Network Structure and Spectral Distribution of Graphs |
| Sub Title (in English) | |
| Keyword(1) | social network |
| Keyword(2) | spectral graph theory |
| Keyword(3) | Laplacian matrix |
| Keyword(4) | network measure |
| 1st Author's Name | Ryosuke Sawada |
| 1st Author's Affiliation | Tokyo Metropolitan University(Tokyo Metropolitan Univ.) |
| 2nd Author's Name | Yusuke Sakumoto |
| 2nd Author's Affiliation | Tokyo Metropolitan University(Tokyo Metropolitan Univ.) |
| 3rd Author's Name | Chisa Takano |
| 3rd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 4th Author's Name | Masaki Aida |
| 4th Author's Affiliation | Tokyo Metropolitan University(Tokyo Metropolitan Univ.) |
| Date | 2015-10-15 |
| Paper # | NS2015-89 |
| Volume (vol) | vol.115 |
| Number (no) | NS-251 |
| Page | pp.pp.13-18(NS), |
| #Pages | 6 |
| Date of Issue | 2015-10-08 (NS) |