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.
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
Supported in partVerified against the publisher's abstract
The abstract shows Freeman 1977 introduced a family of betweenness-based centrality measures, not the degree/betweenness/closeness systematization the claim credits to that year.
“A family of new measures of point and graph centrality based on early intuitions of Bavelas (1948) is introduced.”
- 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.
Supported in partVerified against the publisher's abstract
Freeman 1977 supplies the measure of betweenness centrality — a point on the shortest path between separated others has potential control of communication, the measurable pass-through condition; it does not supply the arbitrage framing.
“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.”
- 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.
- 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.
Supported in partVerified against the publisher's abstract
Freeman's abstract supports betweenness centrality as a shortest-path measure with potential control of communication, but it does not mention cut-vertices or network reliability.
“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.”
- In network reliability, a cut-vertex whose removal disconnects the graph is the topological version, and betweenness centrality measures pivotality in information flow.
Verification¶
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Does it back the claim? Read against the text for 3 of 3 citations: 3 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
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Registry ID ref:0108998981a7 · see in the full table