A measure of centrality based on modularity matrix |
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Authors: | Gaoxia Wang Yi Shen Enjie Luan |
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Affiliation: | The Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract: | In this paper, a kind of measure of structural centrality for networks, called modularity centrality, is introduced. This centrality index is based on the eigenvector belonging to the largest magnitude eigenvalue of modularity matrix. The measure is illustrated and compared with the standard centrality measures using a classic dataset. The statistical distribution of modularity centrality is investigated by considering large computer generated graphs and two networks from the real world. |
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Keywords: | Centrality Modularity centrality Modularity matrix |
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