| 利用傅里叶变换求解无标度网络的幂指数 |
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| 引用本文： | 张小琴,姚洪兴,梁洪振.利用傅里叶变换求解无标度网络的幂指数[J].云南民族大学学报(自然科学版),2007,16(3):206-208. |
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| 作者姓名： | 张小琴 姚洪兴 梁洪振 |
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| 作者单位： | 江苏大学理学院,江苏镇江,212013 |
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| 基金项目： | 国家自然科学基金资助项目(70401013,70571034)，国家博士后基金资助项目(2003033498)，江苏省教育厅基金资助项目(03KJD110070) |
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| 摘 要： | 复杂网络中无标度网络的显著特点是其度分布呈现幂律尾部,已经有很多学者从不同角度推导证明了大多数无标度网络的度分布函数幂指数大于2,但是最近也发现有一少部分无标度网络的幂指数小于2.现通过利用数学中的傅里叶变换来求解这2类无标度网络的幂指数的值.
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| 关 键 词： | 无标度网络 度分布 幂指数 傅里叶变换 |
| 文章编号： | 1672-8513（2007）03-0206-03 |
| 收稿时间： | 2006-03-26 |
| 修稿时间： | 2006-03-26 |
Solve the Exponent of Scale-Free Networks Making Use of Fourier Transform |
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| Zhang Xiaoqin,Yao Hongxing,Liang Hongzhen.Solve the Exponent of Scale-Free Networks Making Use of Fourier Transform[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2007,16(3):206-208. |
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| Authors: | Zhang Xiaoqin Yao Hongxing Liang Hongzhen |
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| Institution: | Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | A notable feature of scale-free networks in complex networks is their degree distribution has a fat tail.Many scholars have already proved in different ways that the exponent of the majority of scale-free networks is greater than 2;however,there are a fraction of scale-free networks whose exponent is less than 2.In this paper Fourier transform in mathematics is used in solving the power law of these two sorts of scale-free networks respectively. |
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| Keywords: | scale-free networks degree distribution power law Fourier transform |
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