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가중치 고유벡터 중심성×가중치 부여된 중간점 중심성×
분야네트워크 분석네트워크 분석
계열Machine learningMachine learning
기원 연도1987 (binary); 2010 (weighted generalization)2010
창시자Bonacich, P. (binary); Opsahl, T. et al. (weighted extension)Opsahl, T.; Agneessens, F.; Skvoretz, J. (extending Freeman 1977 and Brandes 2001)
유형Spectral centrality measureCentrality measure (path-based)
원전Bonacich, 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 ↗
별칭WEC, weighted spectral centrality, strength-weighted eigenvector centrality, weighted eigenvector prestigeWBC, weighted shortest-path betweenness, edge-weighted betweenness, geodesic betweenness (weighted)
관련66
요약Weighted 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.
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