Types of stable network structures based on exhaustive search |
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Authors: | Dehai Liu Jing Huang Hongyi Li Weiguo Wang |
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Institution: | 1. Center of Econometric Analysis and Forecasting, Dongbei University of Finance & Economics, Shahekou District, Dalian 116025, China;2. Department of Decision Sciences and Managerial Economics, Business School, The Chinese University of Hong Kong, Shatin, NT, Hong Kong |
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Abstract: | Based on the works of Doreian Doreian, P., 2006. Actor network utilities and network evolution. Social Networks 28, 137–164] and Xie and Cui Xie, F., Cui, W., 2008b. A note on the paper ‘cost range and the stable network structures’. Social Networks 30, 102–103], the paper applies exhaustive search and inductive approaches to analyze possible transitions among isomeric social networks with five vertices. A total of seven types of stable network structures are identified, which include the complete, star, chain, cycle, near-chain, near-cycle and null graphs. Then, a modified theorem for the equilibrium forms which corrects the previous work is presented. |
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Keywords: | Stable social network Network evolution Efficiency Connections model Exhaustive search |
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