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small world effects in a Harmonious Unifying Hybrid Preferential Model Networks

Communications in Theoretical Physics 2007年第2X期48卷 377-383页

作者： FANG Jin-Qing BI Qiao LI Yong LU Xin-Biao LIU Qiang China Institute of Atomic Energy P.O. Box 275-81 Beijing 102413 China

small worm effects in the harmonious unifying hybrid preferential model （HUHPM） networks are studied both numerically and analytically. The idea and method of the HUHPM is applied to three typical examples of unweighted BA model, weighted BBV model, and the TDE rnodel, so-called HUHPM-BA, HUHPM-BBV and HUHPM- TDE networks. Comparing the HUHPM with current typical models above, it is found that the HUHPM networks has the smallest average path length and the biggest average clustering coefficient. The results demonstrate that the HUHPM is more suitable not only for the un-iveighted models but also for the weighted models.

关键词： harmonious unifying hybrid preferential model small world effect network science

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effects of Weight on the Structure and Dynamics in Complex Networks

Effects of Weight on the Structure and Dynamics in Complex N...

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第二届全国复杂动态网络学术论坛

作者： Menghui Li, Ying Fan, Dahui Wang, Jinshan Wu, Zengru Di Department of Systems Science, School of Management, Beijing Normal University, PR. China Department oj Physics & Astronomy, University of British Columbia, Vancouver, B.C. Canada

＜正＞Link weight in weighted complex networks provides additional dimension for describing and adjusting the properties of *** with the construction of WS small-world networks based on a regular network,the topological rule of weight is studied by the effects of redistribution of link *** a given regular network with homogeneous link weights,the randomization of weight over the links can decrease the average shortest path significantly,meanwhile the clustering coefficient keeps in the original *** we get the small world effect due to the weight *** effects to the dynamical systems coupled by weighted networks has also been *** of weight can induce the coherent oscillation and the faster response to the impulse for coupled excitable systems

关键词： Weighted networks Random weight small world effect Coupled dynamical systems

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