Strength distribution of novel local-world networks |
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Authors: | Ying-Hong Ma Hui-Jia Li Xiao-Dong Zhang |
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Institution: | aSchool of Management & Economics, Shandong Normal University, Jinan, Shandong, 250014, PR China;bDepartment of Mathematic, Shanghai Jiaotong University, 800 Dongchuan Road, Shanghai, 200240, PR China |
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Abstract: | It is discovered that there are two important characters, local-world character and weight-driven character, in many real-life complex networks. Motivated by this fact, a weight-driven local-world network model is proposed, which incorporates the weight dynamics and the fixed local-world property. By means of mathematical analysis and numerical simulation, the strength distribution of the network model has been obtained. The results are applied to epidemic spreading theory. |
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Keywords: | Scale-free network Weight-driven local world Strength distribution Epidemic spreading SI model |
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