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Strength distribution of novel local-world networks
Authors:Ying-Hong Ma  Hui-Jia Li  Xiao-Dong Zhang  
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
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.
Keywords:Scale-free network  Weight-driven local world  Strength distribution  Epidemic spreading  SI model
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