##  [Betweenness Centrality](/index.php/betweenness-centrality) 

  ##  [Betweenness Centrality](https://natural.quantumdictionary.io/betweenness-centrality-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/index.php/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A graph-theoretic measure of a node's importance defined as the sum (or normalized sum) over all ordered pairs of the fraction of shortest paths between the pair that pass through the node; quantifies the node's role as a connector or bridge in shortest-path routing.

 

 

 

 

 





 

 



 ##  [Betweenness Centrality](https://social.quantumdictionary.io/betweenness-centrality-1) 

  

 [![Social Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Social%20Sciences.png.webp?itok=FFG6NW1n)](/index.php/topic-specific-dictionaries/social-sciences)



**Social Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A node-level network metric equal to the sum, over all ordered pairs of distinct nodes s and t (s ≠ t ≠ v), of the fraction of shortest paths between s and t that pass through node v: BC(v) = ∑_{s≠v≠t} σ_st(v) / σ_st, where σ_st is the number of shortest paths between s and t and σ_st(v) is the number of those paths that include v.