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Model and empirical study on some collaboration networks |
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| Authors: | Pei-Pei Zhang Kan Chen Yue He Tao Zhou Bei-Bei Su Yingdi Jin Hui Chang Yue-Ping Zhou Li-Cheng Sun Bing-Hong Wang Da-Ren He |
| Institution: | aCollege of Physics Science and Technology, Yangzhou University, Yangzhou 225002, China bDepartment of Computational Science, Faculty of Science, National University of Singapore, 117543 Singapore cNonlinear Science Center and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China dDepartment of Economics, National Chengchi University, Taipei 11623, China eCCAST(World Laboratory), PO Box 8730, Beijing 100080, China |
| Abstract: | In this paper we present an empirical study of a few practical systems described by cooperation networks, and propose a model to understand the results obtained. We study four non-social systems, which are the Bus Route Networks of Beijing and Yangzhou, the Travel Route Network of China, Huai-Yang recipes of Chinese cooked food, and a social system, which is the Collaboration Network of Hollywood Actors. In order to explain the results related to the degree distribution, act-degree distribution and act-size distribution (especially about the degree distribution, which may be better fitted using a stretched exponential distribution (SED)), we suggest a simple model to show a possible evolutionary mechanism for the emergence of such networks. The analytic and numerical results obtained from the model are in good agreement with the empirical results. |
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