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k核分解×中心性分析×コミュニティ検出×
分野ネットワーク分析ネットワーク分析ネットワーク分析
系統Process / pipelineProcess / pipelineProcess / pipeline
提唱年198319792002–2019 (algorithm family)
提唱者Stephen B. SeidmanLinton C. FreemanLouvain: Blondel et al. (2008); Leiden: Traag et al. (2019); Girvan-Newman: Girvan & Newman (2002); Infomap: Rosvall & Bergstrom (2008)
種類Graph pruning and hierarchical decompositionDescriptive / exploratory network measure familyGraph-partitioning / clustering algorithm family
原典Seidman, S. B. (1983). Network structure and minimum degree. Social Networks, 5(3), 269–287. DOI ↗Freeman, L.C. (1979). Centrality in Social Networks: Conceptual Clarification. Social Networks, 1(3), 215-239. DOI ↗Blondel, V.D., Guillaume, J.-L., Lambiotte, R. & Lefebvre, E. (2008). Fast Unfolding of Communities in Large Networks. Journal of Statistical Mechanics, 2008(10), P10008. DOI ↗
別名Core Decomposition, Coreness Decomposition, Shell Decomposition, Çekirdek AyrıştırmaMerkeziyet Analizi (Degree, Betweenness, Eigenvector), node centrality, centrality measures, graph centralitygraph clustering, network partitioning, Topluluk Tespiti (Louvain, Girvan-Newman, Leiden)
関連355
概要k-Core Decomposition is a graph-theoretic method that partitions the vertices of a network into a nested sequence of subgraphs called k-cores. A k-core is the maximal subgraph in which every vertex has at least k neighbors within that subgraph. Introduced by Stephen B. Seidman in 1983, the method assigns each vertex a coreness number that captures its structural centrality relative to the local connectivity of the graph.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.Community detection is a family of graph-partitioning algorithms that discover densely connected sub-groups — communities — within a network. First formalised through the modularity measure by Girvan and Newman (2002), the field advanced rapidly with the Louvain method (Blondel et al., 2008), the Leiden refinement (Traag et al., 2019), and the information-theoretic Infomap approach. All variants answer the same question: which nodes cluster together more tightly among themselves than with the rest of the network?
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ScholarGate手法を比較: k-Core Decomposition · Centrality Analysis · Community Detection. 2026-06-18に以下より取得 https://scholargate.app/ja/compare