Centrality in social networks conceptual clarification

@article{Freeman1978CentralityIS,
  title={Centrality in social networks conceptual clarification},
  author={Linton C. Freeman},
  journal={Social Networks},
  year={1978},
  volume={1},
  pages={215-239}
}

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References

SHOWING 1-10 OF 51 REFERENCES
A set of measures of centrality based upon betweenness
TLDR
A family of new measures of point and graph centrality based on early intuitions of Bavelas (1948) is introduced, used to index centrality in any large or small network of symmetrical relations, whether connected or unconnected.
Structural centrality in communications networks
This paper examines the concept of centrality with respect to small-group communication experiments. An index of centrality is presented which is based on the incidence matrix of actual
AN IMPROVED INDEX OF CENTRALITY.
TLDR
The author proposes an improvement of the Bavelas measure of centrality for both points and graphs in order to extend its analytical utility.
On the centrality in a graph.
  • J. Nieminen
  • Psychology, Medicine
    Scandinavian journal of psychology
  • 1974
TLDR
An index for centrality satisfying the axioms is presented based on the degrees of the vertices in a given undirected graph, and it will enlarge the class of comparable graphs with respect to a centrality measure.
On the centrality in a directed graph
The information theoretic entropy function as a total expected participation index for communication network experiments
TLDR
The concept of an incidence matrix of communications can be used to define the entropy of a finite scheme and the function is found to be best interpreted as a total expected participation index.
Structural parameters of communication networks
Certain parameters are defined which roughly characterize the internal structure of networks. A given network structure uniquely determines the values of the parameters, but the reverse is not true.
Communication Network Research: An Examination of Controversies
This study was concerned with the salient issues in communication network research. When the organizational phase was separated from the operational phase of problem-solving, centralization was
Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph
TLDR
It is shown that the optimum location of a switching center is always at a vertex of the communication network while the best location for the police station is not necessarily at an intersection.
A Mathematical Model for Group Structures
Many kinds of theories have been developed to explain human behavior. They may be classified in many ways - in terms of outstanding men, of schools of psychology, in terms of the emphasis placed upon
...
1
2
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4
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