A centrality measure for communication ability in weighted network |
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Authors: | Li Zhai Xiangbin Yan Guojing Zhang |
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Institution: | 1. School of Management, Harbin Institute of Technology, Harbin, 150001, China;2. School of Applied Science, Harbin University of Science and Technology, Harbin, 150080, China;3. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China |
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Abstract: | This paper proposes a new node centrality measurement in a weighted network, the communication centrality, which is inspired by Hirsch’s h-index. We investigated the properties of the communication centrality, and proved that the distribution of the communication centrality has the power-law upper tail in weighted scale-free networks. Relevant measures for node and network are discussed as extensions. A case study of a scientific collaboration network indicates that the communication centrality is different from other common centrality measures and other h-type indexes. Communication centrality displays moderate correlation with other indexes, and contains a well-balanced mix of other centrality measures and cannot be replaced by any of them. |
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Keywords: | Centrality measure Weighted network H-index" target="_blank">gif" overflow="scroll">H-index Lobby index H-degree" target="_blank">gif" overflow="scroll">H-degree |
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