手法を比較

	重み付き固有ベクトル中心性	重み付き媒介中心性
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. (extending Freeman 1977 and Brandes 2001)
種類	Spectral centrality measure	Centrality measure (path-based)
原典	Bonacich, P. (1987). Power and centrality: A family of measures. American Journal of Sociology, 92(5), 1170–1182.	Opsahl, T., Agneessens, F., & Skvoretz, J. (2010). Node centrality in weighted networks: Generalizing degree and shortest paths. Social Networks, 32(3), 245–251.
別名	WEC, weighted spectral centrality, strength-weighted eigenvector centrality, weighted eigenvector prestige	WBC, weighted shortest-path betweenness, edge-weighted betweenness, geodesic betweenness (weighted)
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 Betweenness Centrality extends Freeman's betweenness measure to edge-weighted graphs by routing shortest paths through a tunable transformation of edge weights. Nodes that sit on many high-value shortest paths receive high scores, identifying brokers and bridges in social, biological, and information networks where tie strength matters.