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中心性分析×ネットワーク拡散モデル×
分野ネットワーク分析ネットワーク分析
系統Process / pipelineProcess / pipeline
提唱年19791927 (epidemiological compartmental); 2003 (social influence cascade)
提唱者Linton C. FreemanKermack & McKendrick (SIR/SIS, 1927); Kempe, Kleinberg & Tardos (Independent Cascade, 2003)
種類Descriptive / exploratory network measure familyStochastic / deterministic simulation on graphs
原典Freeman, L.C. (1979). Centrality in Social Networks: Conceptual Clarification. Social Networks, 1(3), 215-239. DOI ↗Kermack, W.O. & McKendrick, A.G. (1927). A Contribution to the Mathematical Theory of Epidemics. Proceedings of the Royal Society of London. Series A, 115(772), 700-721. DOI ↗
別名Merkeziyet Analizi (Degree, Betweenness, Eigenvector), node centrality, centrality measures, graph centralityepidemic spreading models, compartmental models, influence propagation models, Ağ Yayılım Modelleri (SIR, SIS, Independent Cascade)
関連55
概要Centrality analysis is a family of network-analytic measures, formalized by Freeman (1979), that quantifies the structural importance of individual nodes within a graph. Each centrality index captures a distinct mechanism of influence: degree centrality reflects direct connectivity, betweenness centrality identifies nodes that broker information flow, closeness centrality captures proximity to all others, and eigenvector centrality (along with PageRank) rewards connection to highly connected neighbors.Network diffusion models are a family of compartmental and probabilistic frameworks that simulate how information, disease, or innovation spreads across a connected system. Rooted in the mathematical epidemiology of Kermack and McKendrick (1927), the SIR and SIS models partition nodes into states and track transitions driven by contact rates and recovery probabilities. The Independent Cascade and Linear Threshold models, formalised by Kempe, Kleinberg, and Tardos (2003), extend this logic to social influence, modelling how activation propagates through a network one neighbour at a time.
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ScholarGate手法を比較: Centrality Analysis · Network Diffusion Models. 2026-06-15に以下より取得 https://scholargate.app/ja/compare