Betweenness centrality

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Algorithms

Closeness centralities Θ ( | V | 3 ) {\displaystyle \Theta (|V|^{3})}Floyd–Warshall algorithm Johnson's algorithm Time complexity

14 related topics

Applications

Social network analysis Online social networks Interpersonal ties Social capital Topological complexity

6 related topics

Weighted networks

Weighted network Power law

2 related topics

Definition

Directed graphs Undirected graphs Giant component

3 related topics

Topics to explore

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Overview

Graph theory
Centrality
Graph Graph (discrete mathematics)
Shortest paths Shortest path problem
Vertices Vertex (graph theory)
Connected graph
Path Path (graph theory)
Network theory
Freeman (1977) Betweenness centrality
Telecommunications network

Definition

Directed graphs Directed graph
Undirected graphs Undirected graph
Giant component

Weighted networks

Percolation centrality

Complex networks Complex network
O ( | V | 3 ) {\displaystyle O(|V|^{3})} Big O notation
Brandes' algorithm

Algorithms

Closeness centralities Closeness centrality
Θ ( | V | 3 ) {\displaystyle \Theta (|V|^{3})} Big theta
Floyd–Warshall algorithm
Johnson's algorithm
Time complexity
Shortest paths Shortest path
Vapnik–Chervonenkis theory
Rademacher averages Rademacher complexity
Approximation algorithm
Breadth-first search
Confidence interval
Ego network Ego network?action=edit&redlink=1
Degree Degree (graph theory)
Clustering coefficient

Applications

Related concepts

Connectivity Connectivity (graph theory)
Cut set Cut (graph theory)

Advanced semantic analysis

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Map overview Semantic statistics

Nodes48

Edges47

Triples42

Avg. degree1.96

Density0.041667

Components1

How this topic connects Entity context

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Betweenness centrality

Top relations

related to Percolation centrality · 11

Betweenness centrality → Computer, For, Hossain, In, PC, Percolation, Piraveenan, Prokopenko, Rumours, The, This

related to Approximations · 10

Betweenness centrality → ABRA, Because, Chervonenkis, Kornaropoulos, Later, Many, Rademacher, Riondato, SILVAN, Vapnik

related to Algorithms · 9

Betweenness centrality → Brandes, Calculating, Floyd, In, Johnson's, On, Theta, Warshall, When

related to Social networks · 2

Betweenness centrality → From, In

is a · 1

Betweenness centrality → measure of centrality in a graph based on shortest paths

related to Definition · 1

Betweenness centrality → The

related to Related concepts · 1

Betweenness centrality → Betweenness

related to River networks · 1

Betweenness centrality → Betweenness

Important terminology Word statistics

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Important terminology

centrality betweenness nodes node shortest network displaystyle networks vertices number graph graphs paths percolation path time algorithm social edges theory

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Betweenness centrality	is a	measure of centrality in a graph based on shortest paths	0.90	text
ABRA	instance of	Later methods	0.80	text
SILVAN used progressive sampling strategies	instance of	Later methods	0.80	text
Rademacher averages to adaptively determine the number of sampled shortest paths needed to achieve a target accuracy.KADABRA is an adaptive approximation algorithm that combines shortest-path sampling with bidirectional breadth-first search	instance of	Later methods	0.80	text
confidence interval estimation.Local heuristics have also been proposed as computationally inexpensive alternatives	instance of	Later methods	0.80	text
degree	instance of	use only local structural properties	0.80	text
the clustering coefficient to estimate the relative importance of vertices	instance of	use only local structural properties	0.80	text
Betweenness centrality	related to Algorithms	Calculating	0.60	section
Betweenness centrality	related to Algorithms	Theta	0.60	section
Betweenness centrality	related to Algorithms	Floyd	0.60	section
Betweenness centrality	related to Algorithms	Warshall	0.60	section
Betweenness centrality	related to Algorithms	On	0.60	section

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Research this topic

Explore this topic

Algorithms

Applications

Weighted networks

Definition

Key facts & relationships

Topics to explore

Overview

Definition

Weighted networks

Percolation centrality

Algorithms

Applications

Related concepts

Advanced semantic analysis

Map overview Semantic statistics

Betweenness centrality

How this topic connects Entity context

Betweenness centrality

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges