• Thumbnail for Betweenness centrality
    described centrality as based on betweenness, Freeman (1977) gave the first formal definition of betweenness centrality. Betweenness centrality finds wide...
    19 KB (2,176 words) - 11:55, 8 May 2025
  • Thumbnail for Centrality
    Betweenness is a centrality measure of a vertex within a graph (there is also edge betweenness, which is not discussed here). Betweenness centrality quantifies...
    47 KB (6,738 words) - 13:09, 11 March 2025
  • somewhere between the other two items. Betweenness centrality - a measure of centrality in a graph, based on shortest paths. The betweenness centrality of a...
    980 bytes (181 words) - 01:25, 2 March 2025
  • Thumbnail for Global shipping network
    which means that only a few ports manage immense amounts of cargo. Betweenness centrality is another important concept. It is basically the sum of the directed...
    5 KB (731 words) - 13:48, 11 December 2024
  • Random walk closeness centrality is a measure of centrality in a network, which describes the average speed with which randomly walking processes reach...
    8 KB (1,385 words) - 14:57, 17 August 2022
  • Thumbnail for Network science
    measures of centrality are degree centrality, closeness centrality, betweenness centrality, eigenvector centrality, and katz centrality. The objective...
    69 KB (9,906 words) - 21:46, 25 May 2025
  • Thumbnail for Closeness centrality
    In a connected graph, closeness centrality (or closeness) of a node is a measure of centrality in a network, calculated as the reciprocal of the sum of...
    20 KB (2,426 words) - 05:44, 9 December 2024
  • The betweenness of all existing edges in the network is calculated first. The edge(s) with the highest betweenness are removed. The betweenness of all...
    4 KB (539 words) - 19:55, 12 October 2024
  • Thumbnail for Linton Freeman
    University of California, Irvine. Freeman developed the first measure of betweenness centrality. He was the founding editor of the journal Social Networks which...
    4 KB (137 words) - 17:41, 19 February 2025
  • Thumbnail for Network theory
    of centrality are degree centrality, closeness centrality, betweenness centrality, eigenvector centrality, subgraph centrality, and Katz centrality. The...
    35 KB (3,952 words) - 17:42, 23 May 2025
  • Thumbnail for Biological network inference
    methods. Betweeness, a.k.a. betweenness centrality, is a measure of centrality in a graph based on shortest paths. The betweenness for each node is the number...
    33 KB (3,831 words) - 22:35, 29 June 2024
  • Thumbnail for Distance (graph theory)
    pseudo-peripheral vertex. Distance matrix Resistance distance Betweenness centrality Centrality Closeness Degree diameter problem for graphs and digraphs...
    7 KB (933 words) - 09:31, 18 April 2025
  • Thumbnail for Brandes' algorithm
    calculating the betweenness centrality of vertices in a graph. The algorithm was first published in 2001 by Ulrik Brandes. Betweenness centrality, along with...
    12 KB (1,696 words) - 13:52, 23 May 2025
  • Thumbnail for Krackhardt kite graph
    of centrality. It has the property that the vertex with maximum degree (labeled 3 in the figure, with degree 6), the vertex with maximum betweenness centrality...
    1 KB (129 words) - 17:59, 11 August 2023
  • exploiting social networks are betweenness centrality, degree centrality, and closeness centrality. The betweenness centrality measures the extent a node...
    11 KB (1,431 words) - 11:54, 15 February 2022
  • networks is that nodes with relatively low degrees may have very high betweenness centrality. It is an important observation related to the robustness of complex...
    7 KB (752 words) - 00:55, 24 May 2025
  • Max flow min cut theorem Menger's theorem Metcalfe's law Centrality Betweenness centrality Closeness Bose-Einstein condensation: a network theory approach...
    2 KB (116 words) - 21:24, 30 May 2025
  • Thumbnail for Biological network
    methods to measure centrality such as betweenness, degree, Eigenvector, and Katz centrality. Every type of centrality technique can provide different insights...
    50 KB (5,777 words) - 07:42, 7 April 2025
  • Thumbnail for Network controllability
    network controllability can be altered only by using betweenness centrality and closeness centrality, without using degree (graph theory) or degree correlations...
    12 KB (1,518 words) - 13:36, 12 March 2025
  • Thumbnail for Graph property
    Colin de Verdière graph invariant Boxicity Clustering coefficient Betweenness centrality Fractional chromatic number Algebraic connectivity Isoperimetric...
    10 KB (1,182 words) - 09:40, 26 April 2025
  • Thumbnail for Katz centrality
    In graph theory, the Katz centrality or alpha centrality of a node is a measure of centrality in a network. It was introduced by Leo Katz in 1953 and...
    13 KB (1,910 words) - 09:35, 6 April 2025
  • path between two randomly chosen vertices have a high betweenness. Eigenvector is a term widely used in the linear algebra. Eigenvector centrality is a...
    12 KB (1,510 words) - 13:22, 21 September 2024
  • Thumbnail for Biased random walk on a graph
    engines. Betweenness centrality Community structure Kullback–Leibler divergence Markov chain Maximal entropy random walk Random walk closeness centrality Social...
    7 KB (998 words) - 05:19, 9 June 2024
  • in hierarchical clustering techniques is far from optimal. Edge betweenness centrality has been used successfully as a weight in the Girvan–Newman algorithm...
    4 KB (541 words) - 19:56, 12 October 2024
  • theory algorithms are often used to identify central populations that maintain connectivity (betweenness centrality), or clusters of populations with strong...
    30 KB (3,511 words) - 23:00, 22 May 2025
  • Thumbnail for Node deletion
    highest degree nodes, and the targeting of the nodes with the highest betweenness centrality. The strategies effectivity can be either measured by how the diameter...
    5 KB (766 words) - 12:14, 6 November 2023
  • interpretations in climate. The team used measure of node centrality, betweenness centrality (BC) to demonstrate the wave-like structures in the BC fields...
    12 KB (1,343 words) - 16:01, 1 June 2024
  • Thumbnail for Social network analysis
    measuring "centrality" include betweenness centrality, closeness centrality, eigenvector centrality, alpha centrality, and degree centrality. Density:...
    58 KB (6,267 words) - 17:59, 10 April 2025
  • ego has higher betweenness centrality to the extent that they lie on more paths between alters in a network. Higher betweenness centrality indicates that...
    28 KB (3,602 words) - 03:56, 27 May 2025
  • Thumbnail for Modularity (networks)
    different properties such as node degree, clustering coefficient, betweenness, centrality, etc., from that of the average network. Modularity is one such...
    21 KB (2,962 words) - 15:52, 21 February 2025