## 13,396 Citations

Theoretical Foundations for Centrality Measures

- SociologyAmerican Journal of Sociology
- 1991

Three measures of actors' network centrality are derived from an elementary rocess model of social influence. The measures are closely related to, and cast new light on, widely used measures of…

The stability of centrality measures when networks are sampled

- Computer Science, PsychologySoc. Networks
- 2003

Re-conceptualizing centrality in social networks†

- Computer ScienceEuropean Journal of Applied Mathematics
- 2016

It is shown that standard centrality indices, although seemingly distinct, can in fact be expressed in a common framework based on path algebras and preserve the neighbourhood-inclusion pre-order.

Centralities: capturing the fuzzy notion of importance in social graphs

- Computer ScienceSNS '09
- 2009

This paper reviews, compares and highlights the strengths of different definitions of centralities in contemporary social networks, as well as highlighting the importance of individuals in a graph.

Social Networks : Prestige , Centrality , and Influence

- 2011

We deliver a short overview of different centrality measures and influence concepts in social networks, and present the relation-algebraic approach to the concepts of power and influence. First, we…

Central Positions in Social Networks

- Computer ScienceCSR
- 2020

This research shifts the focus to the more elementary question whether a node is in a more central position than another, and obtains a very general procedure for doing centrality analysis not only on social networks but networks from all kinds of domains.

Sorting out centrality: An analysis of the performance of four centrality models in real and simulated networks

- Psychology
- 1988

The structure of global centrality measures

- Computer Science
- 2015

The aim of this article is to identify and analyse the logic and structure of centrality measures applied to social networks, using a survey of personal networks with 450 cases to perform an empirical study of the differences and correspondences between degree, closeness and betweenness centrality in personal networks.

Social Networks: Prestige, Centrality, and Influence - (Invited Paper)

- Computer Science, MathematicsRAMiCS
- 2011

The relation-algebraic approach to the concepts of power and influence in social networks is presented, and some applications of relation algebra and RelView to this model are discussed.

## References

SHOWING 1-10 OF 51 REFERENCES

A set of measures of centrality based upon betweenness

- Mathematics, Computer Science
- 1977

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

- Mathematics
- 1966

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.

- Mathematics, MedicineBehavioral science
- 1965

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.

- Psychology, MedicineScandinavian journal of psychology
- 1974

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.

The information theoretic entropy function as a total expected participation index for communication network experiments

- Mathematics, MedicinePsychometrika
- 1966

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

- Mathematics
- 1953

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

- Psychology
- 1972

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

- Mathematics, Computer Science
- 1964

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

- Psychology
- 1948

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…