A Set of Measures of Centrality Based on Betweenness

Freeman, L. C. (1977). A Set of Measures of Centrality Based on Betweenness. Sociometry, 40(1), 35-41.

Type

Journal article

Intellectual base

Primary research

Year

1977

DOI

10.2307/3033543

Link

https://doi.org/10.2307/3033543

Cited from

economics_finance, mathematics, sociology_anthropology

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Network
  • Freeman's (1977) systematization of centrality measures
• Network Broker Role
  • The pass-through condition is exact here: because A and B are otherwise unconnected, any flow between them must traverse \(v\), which is why \(v\)'s betweenness centrality spikes.

    This sourceDefines betweenness centrality — which spikes at a broker position because flow between otherwise-unconnected clusters must traverse it; the measurable form of the pass-through condition.

• Pivotality
  • In network reliability, a cut-vertex whose removal disconnects the graph is the topological version, and betweenness centrality measures pivotality in information flow.

    This sourceDefines betweenness centrality, the network measure of an element's pivotality in connecting flows; relates to cut-vertices whose removal disconnects a graph.

Verification

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