手法を比較

	重み付き媒介中心性	重み付き固有ベクトル中心性
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	2010	1987 (binary); 2010 (weighted generalization)
提唱者	Opsahl, T.; Agneessens, F.; Skvoretz, J. (extending Freeman 1977 and Brandes 2001)	Bonacich, P. (binary); Opsahl, T. et al. (weighted extension)
種類	Centrality measure (path-based)	Spectral centrality measure
原典	Opsahl, T., Agneessens, F., & Skvoretz, J. (2010). Node centrality in weighted networks: Generalizing degree and shortest paths. Social Networks, 32(3), 245–251.	Bonacich, P. (1987). Power and centrality: A family of measures. American Journal of Sociology, 92(5), 1170–1182.
別名	WBC, weighted shortest-path betweenness, edge-weighted betweenness, geodesic betweenness (weighted)	WEC, weighted spectral centrality, strength-weighted eigenvector centrality, weighted eigenvector prestige
関連	6	6
概要	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.	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.