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| k核分解× | 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 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1983 | 2002–2019 (algorithm family) |
| 提唱者≠ | Stephen B. Seidman | Louvain: Blondel et al. (2008); Leiden: Traag et al. (2019); Girvan-Newman: Girvan & Newman (2002); Infomap: Rosvall & Bergstrom (2008) |
| 種類≠ | Graph pruning and hierarchical decomposition | Graph-partitioning / clustering algorithm family |
| 原典≠ | Seidman, S. B. (1983). Network structure and minimum degree. Social Networks, 5(3), 269–287. 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 Ayrıştırma | graph clustering, network partitioning, Topluluk Tespiti (Louvain, Girvan-Newman, Leiden) |
| 関連≠ | 3 | 5 |
| 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. | 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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