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Small-World and Scale-Free Network Analysis×지수 무작위 그래프 모형 (ERGM / p*)×
분야네트워크 분석네트워크 분석
계열Process / pipelineProcess / pipeline
기원 연도1998 (small-world); 1999 (scale-free)1986 (foundational); modern ERGM framework 1996–2007
창시자Frank & Strauss (1986); extended by Wasserman & Pattison (1996) and Robins et al. (2007)
유형Descriptive / exploratory network analysisProbabilistic generative network model
원전Watts, D.J. & Strogatz, S.H. (1998). Collective Dynamics of 'Small-World' Networks. Nature, 393(6684), 440-442. DOI ↗Robins, G., Pattison, P., Kalish, Y., & Lusher, D. (2007). An introduction to exponential random graph (p*) models for social networks. Social Networks, 29(2), 173-191. DOI ↗
별칭Küçük Dünya ve Ölçek-Bağımsız Ağ Analizi, small-world network, scale-free network, preferential attachment analysisERGM, p-star model, p* model, Üstel Rastgele Graf Modeli (ERGM / p*)
관련96
요약Small-world and scale-free network analysis tests whether a real-world network exhibits two landmark topological signatures identified in 1998-1999: the Watts-Strogatz small-world property (high local clustering combined with short average path lengths) and the Barabási-Albert scale-free property (a degree distribution that follows a power law, meaning a small number of hubs connect to a disproportionately large share of other nodes). Together these frameworks transformed network science by showing that many social, biological, and technological networks share a common structural grammar.The Exponential Random Graph Model (ERGM), also known as the p* model, is a statistical framework for network analysis that models the probability of an observed network as a function of its local structural features — such as reciprocity, triangles, and degree distribution. Developed from the foundational work of Frank and Strauss (1986) and extended into the modern framework by Wasserman and Pattison (1996) and Robins et al. (2007), ERGM is the inferential standard for social network analysis, capable of testing whether observed network structures arise by chance or reflect genuine social processes.
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