搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

复杂网络中节点重要性排序的研究进展

刘建国 任卓明 郭强 汪秉宏

引用本文:
Citation:

复杂网络中节点重要性排序的研究进展

刘建国, 任卓明, 郭强, 汪秉宏

Node importance ranking of complex networks

Liu Jian-Guo, Ren Zhuo-Ming, Guo Qiang, Wang Bing-Hong
PDF
导出引用
  • 如何用定量分析的方法识别超大规模网络中哪些节点最重要, 或者评价某个节点相对于其他一个或多个节点的重要程度, 这是复杂网络研究中亟待解决的重要问题之一. 本文分别从网络结构和传播动力学的角度, 对现有的复杂网络中节点重要性排序方法进行了系统的回顾,总结了节点重要性排序方法的最新研究进展, 并对不同的节点重要性排序指标的优缺点以及适用环境进行了分析, 最后指出了这一领域中几个有待解决的问题及可能的发展方向.
    Identifying the most important nodes, or ranking the node importance by using the method of quantitative analysis in large scale networks are important problems in the complex networks. In this article, the metrics for node importance ranking in complex networks are reviewed and the latest progresses in this field are summarized from two prospects: the network structure and the spreading dynamics. The merits, weaknesses and applicable conditions of different node importance ranking metrics are analyzed. Finally, several important open problems are outlined as possible future directions.
    • 基金项目: 国家自然科学基金(批准号: 71071098, 71171136, 91024026);上海市教委科研创新项目(批准号: 11ZZ135, 11YZ110);教育部科学技术研究重点项目(批准号: 211057)和上海市一流学科(系统科学)建设项目(批准号: XTKX2012)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 71071098, 71171136, 91024026), the Innovation Program of Shanghai Municipal Education Commission, China (Grant Nos. 11ZZ135, 11YZ110), the Key Project of Chinese Ministry of Education, China (Grant No. 211057), and the Shanghai Leading Academic Discipline Project of China (Grant No. XTKX2012).
    [1]

    Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47

    [2]

    Newman M E J 2003 SIAM Rev. 45 167

    [3]

    L L Y, Medo M, Yeung C H, Zhang Y C, Zhang Z K, Zhou T 2012 Phys. Rep. 519 1

    [4]

    Wang B H, Zhou T, Wang W X, Yang H J, Liu J G, Zhao M, Yin C Y, Han X P, Xie Y B 2008 Complex System and Complex Science 5 21 (in Chinese) [汪秉宏, 周涛, 王文旭, 杨会杰, 刘建国, 赵明, 殷传洋, 韩筱璞, 谢彦波 2008 复杂系统与复杂性科学 5 21]

    [5]

    Li X, Liu Z H, Wang B 2010 Complx System and Complex Science 7 34 (in Chinese) [李翔, 刘宗华, 汪秉宏 2010 复杂系统与复杂性科学 7 34]

    [6]

    Rong Z H, Tang M, Wang X F, Wu Z X, Yan G, Zhou T 2012 Journal of University of Electronic Science and Technology of China 41 801 (in Chinese) [荣智海, 唐明, 汪小帆, 吴枝喜, 严钢, 周涛 2012 电子科技大学学报 41 801]

    [7]

    Dorogovtsev S N, Mendes J F F, Samukhin A N 2000 Phys. Rev. Lett. 85 4633

    [8]

    Eagle N, Macy M, Claxton R 2010 Science 328 1029

    [9]

    Papadopoulos F, Kitsak M, Serrano M A, Boguna M, Krioukov D 2012 Nature 489 537

    [10]

    Pinto P C, Thiran P, Vetterli M 2012 Phys. Rev. Lett. 109 068702

    [11]

    Ghoshal G, Barabasi A L 2011 Nat. Commun. 2 394

    [12]

    Goltsev A V, Dorogovtsev S N, Oliveira J G, Mendes J F F 2012 Phys. Rev. Lett. 109 128702

    [13]

    Wang L, Zhang J J 2006 Complex System and Complex Science 3 13 (in Chinese) [王林, 张婧婧 2006 复杂系统与复杂性科学 3 13]

    [14]

    He N, Li D, Gan W Y, Zhu X 2007 Computer Science 34 1 (in Chinese) [赫南, 李德, 淦文燕, 朱熙 2007 计算机科学 34 1]

    [15]

    Sun R, Luo W B 2012 Application Research of Computers 29 3606 (in Chinese) [孙睿, 罗万伯 2012 计算机应用研究 29 3606]

    [16]

    Kitsak M, Gallos L K, Havlin S, Liljeros F, Muchnik L, Stanley H E, Makse H A 2010 Nat. Phys. 6 888

    [17]

    Tan Y J, Yu J, Deng H Z, Zhu D Z 2006 Systems Engineering 24 1 (in Chinese) [谭跃进, 吴俊, 邓宏钟, 朱大智 2006 系统工程 24 1]

    [18]

    Liu J, Wang Z, Dang Y 2006 Mod. Phys. Lett. B 20 815

    [19]

    Vragovic I, Louis E, Diaz-Guilera A 2005 Phys. Rev. E 71 036122

    [20]

    Latora V, Marchiori M A 2007 New J. Phys. 9 188

    [21]

    Newman M E J 2010 Networks An Introduction (New York: Oxford University Press) p 168-169

    [22]

    Wang J W, Rong L L, Guo T Z 2010 Journal of Dalian University of Technology 50 822 (in Chinese) [王建伟, 荣莉莉, 郭天柱 2010 大连理工大学学报 50 822]

    [23]

    Chen D B, L L Y, Shang M S, Zhang Y C, Zhou T 2012 Physica A 391 1777

    [24]

    Ren Z M, Shao F, Liu J G, Guo Q, Wang B H 2013 Acta Phys. Sin. 62 128901 (in Chinese) [任卓明, 邵凤, 刘建国, 郭强, 汪秉宏 2013 物理学报 62 128901]

    [25]

    Centola D 2010 Science 329 1194

    [26]

    Ugander J, Backstrom L, Marlow C, Kleinberg J 2012 Proc Natl. Acad. Sci. USA 109 5962

    [27]

    Stephenson K, Zelen M 1989 Soc. Netw. 1 11

    [28]

    Borgatti S P 2005 Soc. Netw. 27 55

    [29]

    Poulin R, Boily M C, Massea B R 2000 Soc. Netw. 22 187

    [30]

    Katz L 1953 Psychometrika 18 39

    [31]

    Sabidussi G 1966 Psyehometrika 31 581

    [32]

    Zhang J, Xu X K, Li P, Zhang K, Small M 2011 Chaos 21 016107

    [33]

    Huang X Q, Vodenska I, Wang F Z, Havlin S, Stanley H E 2011 Phys. Rev. E 84 046101

    [34]

    Freeman L 1977 Sociometry 40 35

    [35]

    Zhou T, Liu J, Wang B H 2006 Chin. Phys. Lett. 23 2327

    [36]

    Travencolo B A N, Costa L D 2008 Phys. Lett. A 373 89

    [37]

    Comin C H, Costa L D 2011 Phys. Rev. E 84 056105

    [38]

    Li P X, Ren Y Q, Xi Y M 2004 Systems Engineering 22 13 (in Chinese) [李鹏翔, 任玉晴, 席酉民 2004 系统工程 22 13]

    [39]

    Tan Y J, Wu J, Deng H Z 2006 Sytems Engineering-Theory and Practice 788 79 (in Chinese) [谭跃进, 吴俊, 邓宏钟 2006 系统工程理论与实践 788 79]

    [40]

    Yu X, Li Y H, Zheng X P, Zhang H Y, Guo Y L 2008 Journal of Tsinghua University (Science and Technology) 48 541 (in Chinese) [余新, 李艳和, 郑小平, 张汉一, 郭奕理 2008 清华大学学报(自然科学版) 48 541]

    [41]

    Rao Y P, Lin J Y, Yue D F 2009 Computer Engineering 35 14 (in Chinese) [饶育萍, 林竞焉, 月东方 2009 计算机工程 35 14]

    [42]

    Chen K Q, Li S W, Zhou J 2010 Computer Engineering and Applications 46 95 (in Chinese) [程克勤, 李世伟, 周健 2010 计算机工程与应用 46 95]

    [43]

    Carmi S, Havlin S, Kirkpatrick S, Shavitt Y, Shir E 2007 Proc. Natl. Acad. Sci. USA 104 11150

    [44]

    Zeng A, Zhang C J 2013 Phys. Lett. A 377 1031

    [45]

    Garas A, Schweitzer F, Havlin S 2012 New J. Phys. 14 083030

    [46]

    Liu J G, Ren Z M, Guo Q 2013 Physica A 392 4154

    [47]

    Ren Z M, Liu J G, Shao F, Guo Q 2013 Acta Phys. Sin. 62 108902 (in Chinese) [任卓明, 刘建国, 邵凤, 郭强, 汪秉宏 2013 物理学报 62 108902]

    [48]

    Hou B N, Yao Y P, Liao D S 2012 Physica A 391 4012

    [49]

    Bryan K, Leise T 2006 SIAM Rev. 48 569

    [50]

    Berkhin P 2005 Int. Math. 2 73

    [51]

    L L Y, Zhang Y C, Yeung C H, Zhou T 2011 PLoS One 6 e21202

    [52]

    Kleinberg J M 1999 ACM 46 604

    [53]

    Radicchi F, Fortunato S, Markines B, Vespignani A 2009 Phys. Rev. E 80 056103

    [54]

    Radicchi F 2011 PLoS One 6 e17249

    [55]

    Masuda N, Kori H 2010 Phys. Rev. E 82 056107

    [56]

    Chen Y, Hu A Q, Hu X 2004 Journal of China Institute of Communications 25 129 (in Chinese) [陈勇, 胡爱群, 胡啸 2004 通信学报 25 129]

    [57]

    An S H, Nie P R, He G G 2006 Journal of Management Sciences in China 9 37 (in Chinese) [安世虎, 聂培尧, 贺国光 2006 管理科学学报 9 37]

    [58]

    Wu J, Tan Y J, Deng H Z, Chi Y 2007 Journal of Chinese Computer Systems 28 627 (in Chinese) [吴俊, 谭跃进, 邓宏钟, 迟妍 2007 小型微型计算机系统 28 627]

    [59]

    Chen J, Sun L F 2009 Journal of Southwest Jiaotong University 44 426 (in Chinese) [陈静, 孙林夫 2009 西南交通大学学报 44 426]

    [60]

    Xiao L J, Wu J N, Xuan Z G 2010 Science of Science and Management of S&T 241 12 (in Chinese) [肖连杰, 吴江宁, 宣照国 2010 科学学与科学技术管理 241 12]

    [61]

    Ye C S, Wang C L, Liu H W 2010 Statistics and Decision 301 22 (in Chinese) [叶春森, 汪传雷, 刘宏伟 2010 统计与决策 301 22]

    [62]

    Zhou X, Zhang F M, Li K W, Hui X B, Wu H S 2012 Acta Phys. Sin. 61 050201 (in Chinese) [周漩, 张凤鸣, 李克武, 惠晓滨, 吴虎胜 2012 物理学报 61 050201]

    [63]

    Yan G, Zhou T, Wang J, Fu Z Q, Wang B H 2005 Chinese Phys. Lett. 22 510

    [64]

    Borge-Holthoefer J, Rivero A, Moreno Y 2012 Phys. Rev. E 85 066123

    [65]

    Borge-Holthoefer J, Moreno Y 2012 Phys. Rev. E 85 026116

    [66]

    Klemm K, Serrano M A, Eguiluz V M, San Miguel M 2012 Sci. Rep. 2 292

    [67]

    Aral S, Walker D 2012 Science 337 337

    [68]

    Liu J, Wu Z X, Wang F 2007 Int. J. Mod. Phys. C 18 1087

    [69]

    Silva R A P, Viana M P, Costa L 2012 J. Stat. Mech. 7 P07005

    [70]

    Bond R M, Fariss C J, Jones J J, Kramer A D, Marlow C, Settle J E, Fowler J H 2012 Nature 489 295

    [71]

    Holme P, Saramaki J 2012 Phys. Rep. 519 97 ewpage

    [72]

    Takaguchi T, Sato N, Yano K, Masuda N 2012 New J. Phys. 14 093003

    [73]

    Kim H, Anderson R 2012 Phys. Rev. E 85 026107

  • [1]

    Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47

    [2]

    Newman M E J 2003 SIAM Rev. 45 167

    [3]

    L L Y, Medo M, Yeung C H, Zhang Y C, Zhang Z K, Zhou T 2012 Phys. Rep. 519 1

    [4]

    Wang B H, Zhou T, Wang W X, Yang H J, Liu J G, Zhao M, Yin C Y, Han X P, Xie Y B 2008 Complex System and Complex Science 5 21 (in Chinese) [汪秉宏, 周涛, 王文旭, 杨会杰, 刘建国, 赵明, 殷传洋, 韩筱璞, 谢彦波 2008 复杂系统与复杂性科学 5 21]

    [5]

    Li X, Liu Z H, Wang B 2010 Complx System and Complex Science 7 34 (in Chinese) [李翔, 刘宗华, 汪秉宏 2010 复杂系统与复杂性科学 7 34]

    [6]

    Rong Z H, Tang M, Wang X F, Wu Z X, Yan G, Zhou T 2012 Journal of University of Electronic Science and Technology of China 41 801 (in Chinese) [荣智海, 唐明, 汪小帆, 吴枝喜, 严钢, 周涛 2012 电子科技大学学报 41 801]

    [7]

    Dorogovtsev S N, Mendes J F F, Samukhin A N 2000 Phys. Rev. Lett. 85 4633

    [8]

    Eagle N, Macy M, Claxton R 2010 Science 328 1029

    [9]

    Papadopoulos F, Kitsak M, Serrano M A, Boguna M, Krioukov D 2012 Nature 489 537

    [10]

    Pinto P C, Thiran P, Vetterli M 2012 Phys. Rev. Lett. 109 068702

    [11]

    Ghoshal G, Barabasi A L 2011 Nat. Commun. 2 394

    [12]

    Goltsev A V, Dorogovtsev S N, Oliveira J G, Mendes J F F 2012 Phys. Rev. Lett. 109 128702

    [13]

    Wang L, Zhang J J 2006 Complex System and Complex Science 3 13 (in Chinese) [王林, 张婧婧 2006 复杂系统与复杂性科学 3 13]

    [14]

    He N, Li D, Gan W Y, Zhu X 2007 Computer Science 34 1 (in Chinese) [赫南, 李德, 淦文燕, 朱熙 2007 计算机科学 34 1]

    [15]

    Sun R, Luo W B 2012 Application Research of Computers 29 3606 (in Chinese) [孙睿, 罗万伯 2012 计算机应用研究 29 3606]

    [16]

    Kitsak M, Gallos L K, Havlin S, Liljeros F, Muchnik L, Stanley H E, Makse H A 2010 Nat. Phys. 6 888

    [17]

    Tan Y J, Yu J, Deng H Z, Zhu D Z 2006 Systems Engineering 24 1 (in Chinese) [谭跃进, 吴俊, 邓宏钟, 朱大智 2006 系统工程 24 1]

    [18]

    Liu J, Wang Z, Dang Y 2006 Mod. Phys. Lett. B 20 815

    [19]

    Vragovic I, Louis E, Diaz-Guilera A 2005 Phys. Rev. E 71 036122

    [20]

    Latora V, Marchiori M A 2007 New J. Phys. 9 188

    [21]

    Newman M E J 2010 Networks An Introduction (New York: Oxford University Press) p 168-169

    [22]

    Wang J W, Rong L L, Guo T Z 2010 Journal of Dalian University of Technology 50 822 (in Chinese) [王建伟, 荣莉莉, 郭天柱 2010 大连理工大学学报 50 822]

    [23]

    Chen D B, L L Y, Shang M S, Zhang Y C, Zhou T 2012 Physica A 391 1777

    [24]

    Ren Z M, Shao F, Liu J G, Guo Q, Wang B H 2013 Acta Phys. Sin. 62 128901 (in Chinese) [任卓明, 邵凤, 刘建国, 郭强, 汪秉宏 2013 物理学报 62 128901]

    [25]

    Centola D 2010 Science 329 1194

    [26]

    Ugander J, Backstrom L, Marlow C, Kleinberg J 2012 Proc Natl. Acad. Sci. USA 109 5962

    [27]

    Stephenson K, Zelen M 1989 Soc. Netw. 1 11

    [28]

    Borgatti S P 2005 Soc. Netw. 27 55

    [29]

    Poulin R, Boily M C, Massea B R 2000 Soc. Netw. 22 187

    [30]

    Katz L 1953 Psychometrika 18 39

    [31]

    Sabidussi G 1966 Psyehometrika 31 581

    [32]

    Zhang J, Xu X K, Li P, Zhang K, Small M 2011 Chaos 21 016107

    [33]

    Huang X Q, Vodenska I, Wang F Z, Havlin S, Stanley H E 2011 Phys. Rev. E 84 046101

    [34]

    Freeman L 1977 Sociometry 40 35

    [35]

    Zhou T, Liu J, Wang B H 2006 Chin. Phys. Lett. 23 2327

    [36]

    Travencolo B A N, Costa L D 2008 Phys. Lett. A 373 89

    [37]

    Comin C H, Costa L D 2011 Phys. Rev. E 84 056105

    [38]

    Li P X, Ren Y Q, Xi Y M 2004 Systems Engineering 22 13 (in Chinese) [李鹏翔, 任玉晴, 席酉民 2004 系统工程 22 13]

    [39]

    Tan Y J, Wu J, Deng H Z 2006 Sytems Engineering-Theory and Practice 788 79 (in Chinese) [谭跃进, 吴俊, 邓宏钟 2006 系统工程理论与实践 788 79]

    [40]

    Yu X, Li Y H, Zheng X P, Zhang H Y, Guo Y L 2008 Journal of Tsinghua University (Science and Technology) 48 541 (in Chinese) [余新, 李艳和, 郑小平, 张汉一, 郭奕理 2008 清华大学学报(自然科学版) 48 541]

    [41]

    Rao Y P, Lin J Y, Yue D F 2009 Computer Engineering 35 14 (in Chinese) [饶育萍, 林竞焉, 月东方 2009 计算机工程 35 14]

    [42]

    Chen K Q, Li S W, Zhou J 2010 Computer Engineering and Applications 46 95 (in Chinese) [程克勤, 李世伟, 周健 2010 计算机工程与应用 46 95]

    [43]

    Carmi S, Havlin S, Kirkpatrick S, Shavitt Y, Shir E 2007 Proc. Natl. Acad. Sci. USA 104 11150

    [44]

    Zeng A, Zhang C J 2013 Phys. Lett. A 377 1031

    [45]

    Garas A, Schweitzer F, Havlin S 2012 New J. Phys. 14 083030

    [46]

    Liu J G, Ren Z M, Guo Q 2013 Physica A 392 4154

    [47]

    Ren Z M, Liu J G, Shao F, Guo Q 2013 Acta Phys. Sin. 62 108902 (in Chinese) [任卓明, 刘建国, 邵凤, 郭强, 汪秉宏 2013 物理学报 62 108902]

    [48]

    Hou B N, Yao Y P, Liao D S 2012 Physica A 391 4012

    [49]

    Bryan K, Leise T 2006 SIAM Rev. 48 569

    [50]

    Berkhin P 2005 Int. Math. 2 73

    [51]

    L L Y, Zhang Y C, Yeung C H, Zhou T 2011 PLoS One 6 e21202

    [52]

    Kleinberg J M 1999 ACM 46 604

    [53]

    Radicchi F, Fortunato S, Markines B, Vespignani A 2009 Phys. Rev. E 80 056103

    [54]

    Radicchi F 2011 PLoS One 6 e17249

    [55]

    Masuda N, Kori H 2010 Phys. Rev. E 82 056107

    [56]

    Chen Y, Hu A Q, Hu X 2004 Journal of China Institute of Communications 25 129 (in Chinese) [陈勇, 胡爱群, 胡啸 2004 通信学报 25 129]

    [57]

    An S H, Nie P R, He G G 2006 Journal of Management Sciences in China 9 37 (in Chinese) [安世虎, 聂培尧, 贺国光 2006 管理科学学报 9 37]

    [58]

    Wu J, Tan Y J, Deng H Z, Chi Y 2007 Journal of Chinese Computer Systems 28 627 (in Chinese) [吴俊, 谭跃进, 邓宏钟, 迟妍 2007 小型微型计算机系统 28 627]

    [59]

    Chen J, Sun L F 2009 Journal of Southwest Jiaotong University 44 426 (in Chinese) [陈静, 孙林夫 2009 西南交通大学学报 44 426]

    [60]

    Xiao L J, Wu J N, Xuan Z G 2010 Science of Science and Management of S&T 241 12 (in Chinese) [肖连杰, 吴江宁, 宣照国 2010 科学学与科学技术管理 241 12]

    [61]

    Ye C S, Wang C L, Liu H W 2010 Statistics and Decision 301 22 (in Chinese) [叶春森, 汪传雷, 刘宏伟 2010 统计与决策 301 22]

    [62]

    Zhou X, Zhang F M, Li K W, Hui X B, Wu H S 2012 Acta Phys. Sin. 61 050201 (in Chinese) [周漩, 张凤鸣, 李克武, 惠晓滨, 吴虎胜 2012 物理学报 61 050201]

    [63]

    Yan G, Zhou T, Wang J, Fu Z Q, Wang B H 2005 Chinese Phys. Lett. 22 510

    [64]

    Borge-Holthoefer J, Rivero A, Moreno Y 2012 Phys. Rev. E 85 066123

    [65]

    Borge-Holthoefer J, Moreno Y 2012 Phys. Rev. E 85 026116

    [66]

    Klemm K, Serrano M A, Eguiluz V M, San Miguel M 2012 Sci. Rep. 2 292

    [67]

    Aral S, Walker D 2012 Science 337 337

    [68]

    Liu J, Wu Z X, Wang F 2007 Int. J. Mod. Phys. C 18 1087

    [69]

    Silva R A P, Viana M P, Costa L 2012 J. Stat. Mech. 7 P07005

    [70]

    Bond R M, Fariss C J, Jones J J, Kramer A D, Marlow C, Settle J E, Fowler J H 2012 Nature 489 295

    [71]

    Holme P, Saramaki J 2012 Phys. Rep. 519 97 ewpage

    [72]

    Takaguchi T, Sato N, Yano K, Masuda N 2012 New J. Phys. 14 093003

    [73]

    Kim H, Anderson R 2012 Phys. Rev. E 85 026107

  • [1] 王博雅, 杨小春, 卢升荣, 唐勇平, 洪树权, 蒋惠园. 基于图卷积神经网络的多维度节点重要性评估方法. 物理学报, 2024, 73(22): 226401. doi: 10.7498/aps.73.20240937
    [2] 汪亭亭, 梁宗文, 张若曦. 基于信息熵与迭代因子的复杂网络节点重要性评价方法. 物理学报, 2023, 72(4): 048901. doi: 10.7498/aps.72.20221878
    [3] 阮逸润, 老松杨, 汤俊, 白亮, 郭延明. 基于引力方法的复杂网络节点重要度评估方法. 物理学报, 2022, 71(17): 176401. doi: 10.7498/aps.71.20220565
    [4] 胡恒儒, 龚志强, 王健, 乔盼节, 刘莉, 封国林. ENSO气温关联网络结构特征差异及成因分析. 物理学报, 2021, 70(24): 249201. doi: 10.7498/aps.70.20210825
    [5] 杨松青, 蒋沅, 童天驰, 严玉为, 淦各升. 基于Tsallis熵的复杂网络节点重要性评估方法. 物理学报, 2021, 70(21): 216401. doi: 10.7498/aps.70.20210979
    [6] 黄丽亚, 汤平川, 霍宥良, 郑义, 成谢锋. 基于加权K-阶传播数的节点重要性. 物理学报, 2019, 68(12): 128901. doi: 10.7498/aps.68.20190087
    [7] 孔江涛, 黄健, 龚建兴, 李尔玉. 基于复杂网络动力学模型的无向加权网络节点重要性评估. 物理学报, 2018, 67(9): 098901. doi: 10.7498/aps.67.20172295
    [8] 苏臻, 高超, 李向华. 节点中心性对复杂网络传播模式的影响分析. 物理学报, 2017, 66(12): 120201. doi: 10.7498/aps.66.120201
    [9] 王雨, 郭进利. 基于多重影响力矩阵的有向加权网络节点重要性评估方法. 物理学报, 2017, 66(5): 050201. doi: 10.7498/aps.66.050201
    [10] 阮逸润, 老松杨, 王竣德, 白亮, 陈立栋. 基于领域相似度的复杂网络节点重要度评估算法. 物理学报, 2017, 66(3): 038902. doi: 10.7498/aps.66.038902
    [11] 宋玉萍, 倪静. 网络集聚性对节点中心性指标的准确性影响. 物理学报, 2016, 65(2): 028901. doi: 10.7498/aps.65.028901
    [12] 任卓明, 刘建国, 邵凤, 胡兆龙, 郭强. 复杂网络中最小K-核节点的传播能力分析. 物理学报, 2013, 62(10): 108902. doi: 10.7498/aps.62.108902
    [13] 任卓明, 邵凤, 刘建国, 郭强, 汪秉宏. 基于度与集聚系数的网络节点重要性度量方法研究. 物理学报, 2013, 62(12): 128901. doi: 10.7498/aps.62.128901
    [14] 于会, 刘尊, 李勇军. 基于多属性决策的复杂网络节点重要性综合评价方法. 物理学报, 2013, 62(2): 020204. doi: 10.7498/aps.62.020204
    [15] 周漩, 张凤鸣, 周卫平, 邹伟, 杨帆. 利用节点效率评估复杂网络功能鲁棒性. 物理学报, 2012, 61(19): 190201. doi: 10.7498/aps.61.190201
    [16] 周漩, 张凤鸣, 李克武, 惠晓滨, 吴虎胜. 利用重要度评价矩阵确定复杂网络关键节点. 物理学报, 2012, 61(5): 050201. doi: 10.7498/aps.61.050201
    [17] 杨浦, 郑志刚. 基于动力学同步的复杂网络结构识别速度研究. 物理学报, 2012, 61(12): 120508. doi: 10.7498/aps.61.120508
    [18] 宋玉蓉, 蒋国平, 徐加刚. 一种基于元胞自动机的自适应网络病毒传播模型. 物理学报, 2011, 60(12): 120509. doi: 10.7498/aps.60.120509
    [19] 王延, 郑志刚. 无标度网络上的传播动力学. 物理学报, 2009, 58(7): 4421-4425. doi: 10.7498/aps.58.4421
    [20] 许 丹, 李 翔, 汪小帆. 复杂网络病毒传播的局域控制研究. 物理学报, 2007, 56(3): 1313-1317. doi: 10.7498/aps.56.1313
计量
  • 文章访问数:  17301
  • PDF下载量:  6768
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-04-11
  • 修回日期:  2013-05-08
  • 刊出日期:  2013-09-05

/

返回文章
返回