Betweenness centrality in large complex networks

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چکیده

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Betweenness centrality in large complex networks

We analyze the betweenness centrality (BC) of nodes in large complex networks. In general, the BC is increasing with connectivity as a power law with an exponent η. We find that for trees or networks with a small loop density η = 2 while a larger density of loops leads to η < 2. For scale-free networks characterized by an exponent γ which describes the connectivity distribution decay, the BC is...

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Approximating Betweenness Centrality in Large Evolving Networks

Betweenness centrality ranks the importance of nodes by their participation in all shortest paths of the network. Therefore computing exact betweenness values is impractical in large networks. For static networks, approximation based on randomly sampled paths has been shown to be significantly faster in practice. However, for dynamic networks, no approximation algorithm for betweenness centrali...

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Metropolis-Hastings Algorithms for Estimating Betweenness Centrality in Large Networks

Betweenness centrality is an important index widely used in different domains such as social networks, traffic networks and the world wide web. However, even for mid-size networks that have only a few hundreds thousands vertices, it is computationally expensive to compute exact betweenness scores. Therefore in recent years, several approximate algorithms have been developed. In this paper, firs...

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Hierarchical Decomposition for Betweenness Centrality Measure of Complex Networks

Betweenness centrality is an indicator of a node's centrality in a network. It is equal to the number of shortest paths from all vertices to all others that pass through that node. Most of real-world large networks display a hierarchical community structure, and their betweenness computation possesses rather high complexity. Here we propose a new hierarchical decomposition approach to speed up ...

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ژورنال

عنوان ژورنال: The European Physical Journal B - Condensed Matter

سال: 2004

ISSN: 1434-6028,1434-6036

DOI: 10.1140/epjb/e2004-00111-4