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このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/14055
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| タイトル: | Asymptotic behavior of the node degrees in the ensemble average of adjacency matrix |
| 著者: | Hayashi, Yukio |
| キーワード: | emsemble average
growing networks
degree distribution
degree-degree correlation |
| 発行日: | 2016-09 |
| 出版者: | Cambridge University Press |
| 誌名: | Network Science |
| 巻: | 4 |
| 号: | 3 |
| 開始ページ: | 385 |
| 終了ページ: | 399 |
| DOI: | 10.1017/nws.2016.10 |
| 抄録: | Various important and useful quantities or measures that characterize the topological network structure are usually investigated for a network, then they are averaged over the samples. In this paper, we propose an explicit representation by the beforehand averaged adjacency matrix over samples of growing networks as a new general framework for investigating the characteristic quantities. It is applied to some network models, and shows a good approximation of degree distribution asymptotically. In particular, our approach will be applicable through the numerical calculations instead of intractable theoretical analyses, when the time-course of degree is a monotone increasing function like power law or logarithm. |
| Rights: | Copyright (C) Cambridge University Press 2016. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| URI: | http://hdl.handle.net/10119/14055 |
| 資料タイプ: | publisher |
| 出現コレクション: | a10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
| ファイル |
記述 |
サイズ | 形式 |
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| 22675.pdf | | 2489Kb | Adobe PDF | 見る/開く |
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