| 无标度合作网络的度分布 |
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| 引用本文： | 马丽红,张礼刚,李建宽,杨俊超.无标度合作网络的度分布[J].河北工业大学学报,2011,40(4):56-59. |
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| 作者姓名： | 马丽红 张礼刚 李建宽 杨俊超 |
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| 作者单位： | 河北建筑工程学院数理系,河北张家口,075024 |
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| 摘 要： | 采用主方程方法计算了一类特殊的无标度合作网络的节点增长的动态性,证明了该网络是节点度分布符合幂律分布的无标度网络,其幂指数位于2和3之间.时间无限大时得到的度分布解的形式与BA网络的形式相似.
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| 关 键 词： | 线性择优生长 合作网络 度分布 主方程 节点 幂指数 |
The degree distribution of the scale-free and collaboration network model |
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| MA Li-hong,ZHANG Li-gang,LI Jian-kuan,YANG Jun-chao.The degree distribution of the scale-free and collaboration network model[J].Journal of Hebei University of Technology,2011,40(4):56-59. |
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| Authors: | MA Li-hong ZHANG Li-gang LI Jian-kuan YANG Jun-chao |
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| Affiliation: | MA Li-hong,ZHANG Li-gang,LI Jian-kuan,YANG Jun-chao(Department of Mathematics and Physics,Hebei Institute of Architecture Civil Engineering,Hebei Zhangjiakou 075024,China) |
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| Abstract: | In this paper,an evolving model aiming at a special kind of collaboration networks is proposed;the master equation is given,which its rigorous analytical solution is obtained and satisfied by degree distribution of the evolving network.It is proved that the degree distribution obeys prover-low form with the exponent adjustable between 2 and 3.The degree distribution is the similar to that of BA network at infinite time. |
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| Keywords: | linearly preferentially growing collaboration network model the degree distribution master equation the vertex the power exponent |
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