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	Betweenness Centrality	モジュラリティ分析
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	1977	2004
提唱者	Freeman, L. C.	Newman, M. E. J. & Girvan, M.
種類	Centrality measure	Community detection / graph partitioning
原典	Freeman, L. C. (1977). A set of measures of centrality based on betweenness. Sociometry, 40(1), 35–41.	Newman, M. E. J., & Girvan, M. (2004). Finding and evaluating community structure in networks. Physical Review E, 69(2), 026113.
別名	Freeman betweenness, BC, geodesic betweenness, shortest-path betweenness	Q-modularity, community structure detection, network modularity optimization, graph partitioning by modularity
関連	6	5
概要	Betweenness centrality, formalized by Linton C. Freeman in 1977, measures how often a node lies on the shortest path connecting every other pair of nodes in a network. High-betweenness nodes act as bridges or brokers: removing them fragments the network into disconnected components more severely than removing any other nodes.	Modularity analysis is a network science method, formalized by Newman and Girvan in 2004, that detects community structure in graphs by measuring whether edges are more concentrated within groups than expected by chance. Its scalar quality index Q guides algorithms that partition nodes into cohesive clusters, making it the most widely adopted framework for community detection in social, biological, and technological networks.