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Сетевые модели диффузии×Анализ центральности×Анализ устойчивости и уязвимости сетей×
ОбластьСетевой анализСетевой анализСетевой анализ
СемействоProcess / pipelineProcess / pipelineProcess / pipeline
Год появления1927 (epidemiological compartmental); 2003 (social influence cascade)19792000
Автор методаKermack & McKendrick (SIR/SIS, 1927); Kempe, Kleinberg & Tardos (Independent Cascade, 2003)Linton C. FreemanAlbert, Jeong & Barabási
ТипStochastic / deterministic simulation on graphsDescriptive / exploratory network measure familyNetwork robustness / vulnerability framework
Основополагающий источникKermack, 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 ↗Freeman, L.C. (1979). Centrality in Social Networks: Conceptual Clarification. Social Networks, 1(3), 215-239. DOI ↗Albert, R., Jeong, H. & Barabási, A.L. (2000). Error and attack tolerance of complex networks. Nature, 406, 378–382. DOI ↗
Другие названияepidemic spreading models, compartmental models, influence propagation models, Ağ Yayılım Modelleri (SIR, SIS, Independent Cascade)Merkeziyet Analizi (Degree, Betweenness, Eigenvector), node centrality, centrality measures, graph centralitynetwork vulnerability analysis, attack tolerance analysis, Ağ Dayanıklılığı ve Güvenlik Açığı Analizi
Связанные555
СводкаNetwork 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.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 resilience and vulnerability analysis is an analytical framework, formalised by Albert, Jeong, and Barabási (2000), that measures how a network degrades functionally as nodes or edges are progressively removed. By running targeted-attack simulations — removing the highest-centrality nodes first — and random-failure simulations — removing nodes at uniform probability — the framework identifies which structural elements are critical to network integrity and where infrastructure is most exposed.
ScholarGateНабор данных
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ScholarGateСравнение методов: Network Diffusion Models · Centrality Analysis · Network Resilience Analysis. Получено 2026-06-18 из https://scholargate.app/ru/compare