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| 重み付き固有ベクトル中心性× | 加重近接中心性× | |
|---|---|---|
| 分野 | ネットワーク分析 | ネットワーク分析 |
| 系統 | Machine learning | Machine learning |
| 提唱年≠ | 1987 (binary); 2010 (weighted generalization) | 2010 |
| 提唱者≠ | Bonacich, P. (binary); Opsahl, T. et al. (weighted extension) | Opsahl, T.; Agneessens, F.; Skvoretz, J. |
| 種類≠ | Spectral centrality measure | Centrality measure (network analysis) |
| 原典≠ | Bonacich, P. (1987). Power and centrality: A family of measures. American Journal of Sociology, 92(5), 1170–1182. DOI ↗ | Opsahl, T., Agneessens, F. & Skvoretz, J. (2010). Node centrality in weighted networks: Generalizing degree and shortest paths. Social Networks, 32(3), 245–251. DOI ↗ |
| 別名 | WEC, weighted spectral centrality, strength-weighted eigenvector centrality, weighted eigenvector prestige | weighted closeness, generalized closeness centrality, WCC, distance-weighted closeness |
| 関連 | 6 | 6 |
| 概要≠ | Weighted eigenvector centrality extends the classic eigenvector centrality measure to graphs where edges carry numerical weights, scoring each node proportionally to the sum of its neighbors' scores multiplied by the connecting edge weights. Nodes score highly not just by having many connections but by being strongly linked to other influential nodes, making the measure sensitive to both tie strength and network position simultaneously. | Weighted closeness centrality extends the classic closeness measure to networks where edges carry numerical weights — such as frequency, strength, or cost — by incorporating those weights into shortest-path distances. Nodes that can reach others quickly along strong or efficient connections receive higher scores, making it a richer indicator of information-spreading potential than its binary counterpart. |
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