مقایسهٔ روش‌ها

	تجزیه k-هسته (k-Core Decomposition)	تحلیل مرکزیت	آشکارسازی جامعه
حوزه	تحلیل شبکه	تحلیل شبکه	تحلیل شبکه
خانواده	Process / pipeline	Process / pipeline	Process / pipeline
سال پیدایش	1983	1979	2002–2019 (algorithm family)
پدیدآور	Stephen B. Seidman	Linton C. Freeman	Louvain: Blondel et al. (2008); Leiden: Traag et al. (2019); Girvan-Newman: Girvan & Newman (2002); Infomap: Rosvall & Bergstrom (2008)
نوع	Graph pruning and hierarchical decomposition	Descriptive / exploratory network measure family	Graph-partitioning / clustering algorithm family
منبع بنیادین	Seidman, S. B. (1983). Network structure and minimum degree. Social Networks, 5(3), 269–287.	Freeman, L.C. (1979). Centrality in Social Networks: Conceptual Clarification. Social Networks, 1(3), 215-239.	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.
نام‌های دیگر	Core Decomposition, Coreness Decomposition, Shell Decomposition, Çekirdek Ayrıştırma	Merkeziyet Analizi (Degree, Betweenness, Eigenvector), node centrality, centrality measures, graph centrality	graph clustering, network partitioning, Topluluk Tespiti (Louvain, Girvan-Newman, Leiden)
مرتبط	3	5	5
خلاصه	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?