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About: Centrality is a(n) research topic. Over the lifetime, 9985 publication(s) have been published within this topic receiving 323457 citation(s). more


Open accessBook
Stanley Wasserman, Katherine Faust1Institutions (1)
25 Nov 1994-
Abstract: Part I. Introduction: Networks, Relations, and Structure: 1. Relations and networks in the social and behavioral sciences 2. Social network data: collection and application Part II. Mathematical Representations of Social Networks: 3. Notation 4. Graphs and matrixes Part III. Structural and Locational Properties: 5. Centrality, prestige, and related actor and group measures 6. Structural balance, clusterability, and transitivity 7. Cohesive subgroups 8. Affiliations, co-memberships, and overlapping subgroups Part IV. Roles and Positions: 9. Structural equivalence 10. Blockmodels 11. Relational algebras 12. Network positions and roles Part V. Dyadic and Triadic Methods: 13. Dyads 14. Triads Part VI. Statistical Dyadic Interaction Models: 15. Statistical analysis of single relational networks 16. Stochastic blockmodels and goodness-of-fit indices Part VII. Epilogue: 17. Future directions. more

Topics: Dyadic interaction (59%), Social network (56%), Triadic closure (53%) more

17,092 Citations

Open accessJournal ArticleDOI: 10.1016/0378-8733(78)90021-7
Linton C. Freeman1Institutions (1)
01 Jan 1978-Social Networks
Abstract: The intuitive background for measures of structural centrality in social networks is reviewed and existing measures are evaluated in terms of their consistency with intuitions and their interpretability. Three distinct intuitive conceptions of centrality are uncovered and existing measures are refined to embody these conceptions. Three measures are developed for each concept, one absolute and one relative measure of the centrality of positions in a network, and one reflecting the degree of centralization of the entire network. The implications of these measures for the experimental study of small groups is examined. more

Topics: Katz centrality (69%), Random walk closeness centrality (65%), Centrality (64%) more

13,104 Citations

Open accessJournal ArticleDOI: 10.1073/PNAS.122653799
Michelle Girvan1, Mark NewmanInstitutions (1)
Abstract: A number of recent studies have focused on the statistical properties of networked systems such as social networks and the Worldwide Web. Researchers have concentrated particularly on a few properties that seem to be common to many networks: the small-world property, power-law degree distributions, and network transitivity. In this article, we highlight another property that is found in many networks, the property of community structure, in which network nodes are joined together in tightly knit groups, between which there are only looser connections. We propose a method for detecting such communities, built around the idea of using centrality indices to find community boundaries. We test our method on computer-generated and real-world graphs whose community structure is already known and find that the method detects this known structure with high sensitivity and reliability. We also apply the method to two networks whose community structure is not well known—a collaboration network and a food web—and find that it detects significant and informative community divisions in both cases. more

Topics: Clique percolation method (62%), Network science (61%), Biological network (58%) more

12,930 Citations

Journal ArticleDOI: 10.2307/3033543
Linton C. Freeman1Institutions (1)
01 Mar 1977-
Abstract: A family of new measures of point and graph centrality based on early intuitions of Bavelas (1948) is introduced. These measures define centrality in terms of the degree to which a point falls on the shortest path between others and there fore has a potential for control of communication. They may be used to index centrality in any large or small network of symmetrical relations, whether connected or unconnected. more

Topics: Katz centrality (74%), Random walk closeness centrality (73%), Betweenness centrality (71%) more

6,934 Citations

Open accessBook
John Scott1Institutions (1)
30 Dec 1991-
Abstract: Networks and Relations The Development of Social Network Analysis Handling Relational Data Lines, Direction and Density Centrality and Centralization Components, Cores, and Cliques Positions, Roles, and Clusters Dimensions and Displays Appendix Social Network Packages more

Topics: Social network analysis (64%), Network science (63%), Dynamic network analysis (61%) more

5,548 Citations

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Topic's top 5 most impactful authors

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