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[1]包峻波,闫光辉*,姚 兵,等.一类推广阿波罗网络模型的若干统计指标研究[J].厦门大学学报(自然科学版),2019,58(04):556-559.[doi:10.6043/j.issn.0438-0479.201806007]
 BAO Junbo,YAN Guanghui*,YAO Bing,et al.Several statistical indexes of quadrilateral Apollo network model[J].Journal of Xiamen University(Natural Science),2019,58(04):556-559.[doi:10.6043/j.issn.0438-0479.201806007]
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《厦门大学学报(自然科学版)》[ISSN:0438-0479/CN:35-1070/N]

卷:
58卷
期数:
2019年04期
页码:
556-559
栏目:
研究论文
出版日期:
2019-07-28

文章信息/Info

Title:
Several statistical indexes of quadrilateral Apollo network model
文章编号:
0438-0479(2019)04-0556-04
作者:
包峻波1闫光辉1*姚 兵12罗 浩1张 萌1刘 婷1殷 朗1李俊成1
1.兰州交通大学电子与信息工程学院,甘肃 兰州 730070; 2.西北师范大学数学与统计学院,甘肃 兰州 730070
Author(s):
BAO Junbo1YAN Guanghui1*YAO Bing12LUO Hao1ZHANGMeng1LIU Ting1YIN Lang1LI Juncheng1
1.College of Electronic and Information Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China; 2.College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China
关键词:
阿波罗网络 拓扑结构 度累积分布 瓦解度
Keywords:
Apollo network topology structure degree accumulate distribution degree of disintegration
分类号:
O 157.5
DOI:
10.6043/j.issn.0438-0479.201806007
文献标志码:
A
摘要:
提出了一种具有无标度、增长性和优先连接特性的网络模型,并且分析了网络模型的构造算法,刻画了网络结构的点、边数目特性,计算了网络模型的度累积分布,论证了外边数可变的阿波罗网络的度累积分布均满足幂律分布.进一步研究了瓦解度等指标,对该网络结构受到蓄意攻击后的受损程度进行了评价.
Abstract:
A network model that features scale-free characteristics,growth and priority connectivity is proposed.Furthermore,the construction algorithm of network model is elaborated.Using mathematical tools,we describe the number of points and edges of network structure.The degree accumulate distribution of network model is calculated, and the Apollo network is generalized by mathematical methods.As a result,we have proved that all Apollo networksstructure with variable outer numbersatisfy the power-law distribution.Finally,the degree of disintegration and other indicators are studied,and the damage degree of the network structure after intentional attack is evaluated.

参考文献/References:

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[8] 苏静,姚兵.阿波罗网络模型的若干统计指标[J].厦门大学学报(自然科学版),2017,56(3):398-402.

备注/Memo

备注/Memo:
收稿日期:2018-06-06录用日期:2019-03-24
基金项目:国家自然科学基金(61163010,61363060,61662066)
*通信作者:yanguanghui@mail.lzjtu.cn
更新日期/Last Update: 1900-01-01