|
|
Identifying Critical Nodes of Collaboration Networks Based on Improved K-shell Decomposition |
Zhang Dayong1(),Men Hao2,Su Zhan1 |
1Key Laboratory of Interactive Media Design and Equipment Service Innovation, Harbin Institute of Technology, Harbin 150001, China 2Faculty of Computing, Harbin Institute of Technology, Harbin 150001, China |
|
|
Abstract [Objective] This paper proposes an improved K-shell decomposition algorithm based on semi-local centrality, aiming to address the degradation issue of critical nodes identification. [Methods] First, we constructed a semi-local centrality index based on the nodes’ first-order neighbor information. Then, we determined the final key node set by recursive removal, with the semi-local information of the remaining and removed nodes. [Results] We examined our algorithm with six groups of cooperative networks. It could effectively eliminate the degradation issue of the original algorithm with high computational accuracy and low computational complexity. [Limitations] Due to the influence of network structures, the calculation accuracy of some sample networks was lower than that of the betweenness centrality algorithm. [Conclusions] The new algorithm can improve the stability of the collaboration network and identify key node sets in large-scale practical networks.
|
Received: 22 May 2023
Published: 15 March 2024
|
|
Fund:National Social Science Fund of China(21BDJ062);Emerging Interdisciplinary Innovation Program of Harbin Institute of Technology(SYL-JC-202203) |
Corresponding Authors:
Zhang Dayong, ORCID:0000-0001-9122-2220, E-mail: yongzhhit@163.com。
|
[1] |
Zhai L, Yan X B. A Directed Collaboration Network for Exploring the Order of Scientific Collaboration[J]. Journal of Informetrics, 2022, 16(4): Article No.101345.
|
[2] |
Nakata C, Im S. Spurring Cross-Functional Integration for Higher New Product Performance: A Group Effectiveness Perspective[J]. Journal of Product Innovation Management, 2010, 27(4): 554-571.
|
[3] |
Quintane E, Pattison P E, Robins G L, et al. Short- and Long-Term Stability in Organizational Networks: Temporal Structures of Project Teams[J]. Social Networks, 2013, 35(4): 528-540.
|
[4] |
贺超城, 吴江, 刘福珍, 等. 基于地理科研主导网络的关键节点识别研究——以药学领域为例[J]. 情报学报, 2021, 40(12): 1312-1324.
|
[4] |
(He Chaocheng, Wu Jiang, Liu Fuzhen, et al. Identifying Key Nodes via a Geographical Research Dominance Network: A Case Study of the Pharmaceutical Field[J]. Journal of the China Society for Scientific and Technical Information, 2021, 40(12): 1312-1324.)
|
[5] |
崔芳, 孙笑明, 熊旺, 等. 关键研发者自我中心网络变化对企业创新绩效的影响: 以整体网络为中介变量[J]. 科技进步与对策, 2017, 34(17): 80-90.
|
[5] |
(Cui Fang, Sun Xiaoming, Xiong Wang, et al. The Research on the Impact of the Ego-Network’s Changes from the Key Inventors to the Innovation Performance: The Whole Network as an Intermediary Variable[J]. Science & Technology Progress and Policy, 2017, 34(17): 80-90.)
|
[6] |
Lü L Y, Chen D B, Ren X L, et al. Vital Nodes Identification in Complex Networks[J]. Physics Reports, 2016, 650: 1-63.
|
[7] |
任晓龙, 吕琳媛. 网络重要节点排序方法综述[J]. 科学通报, 2014, 59(13): 1175-1197.
|
[7] |
(Ren Xiaolong, Lü Linyuan. Review of Ranking Nodes in Complex Networks[J]. Chinese Science Bulletin, 2014, 59(13): 1175-1197.)
|
[8] |
Moody J. The Structure of a Social Science Collaboration Network: Disciplinary Cohesion from 1963 to 1999[J]. American Sociological Review, 2004, 69(2): 213-238.
|
[9] |
Pinto P E, Vallone A, Honores G. The Structure of Collaboration Networks: Findings from Three Decades of Co-Invention Patents in Chile[J]. Journal of Informetrics, 2019, 13(4): Article No.100984.
|
[10] |
Kitsak M, Gallos L K, Havlin S, et al. Identification of Influential Spreaders in Complex Networks[J]. Nature Physics, 2010, 6: 888-893.
|
[11] |
Freeman L C. Centrality in Social Networks Conceptual Clarification[J]. Social Networks, 1978, 1(3): 215-239.
|
[12] |
Newman M E J. The Structure and Function of Complex Networks[J]. SIAM Review, 2003, 45(2): 167-256.
|
[13] |
Wang S B, Zhao J L. Multi-Attribute Integrated Measurement of Node Importance in Complex Networks[J]. Chaos, 2015, 25(11): Article No.113105.
|
[14] |
Zhao J, Wang Y C, Deng Y. Identifying Influential Nodes in Complex Networks from Global Perspective[J]. Chaos, Solitons & Fractals, 2020, 133: Article No.109637.
|
[15] |
Buldyrev S V, Parshani R, Paul G, et al. Catastrophic Cascade of Failures in Interdependent Networks[J]. Nature, 2010, 464: 1025-1028.
|
[16] |
Rossa F D, Pecora L, Blaha K, et al. Symmetries and Cluster Synchronization in Multilayer Networks[J]. Nature Communications, 2020, 11: Article No.3179.
|
[17] |
Peng K Y, Lu Z, Lin V, et al. A Multilayer Network Model of the Coevolution of the Spread of a Disease and Competing Opinions[J]. Mathematical Models and Methods in Applied Sciences, 2021, 31(12): 2455-2494.
|
[18] |
陈诗, 任卓明, 刘闯, 等. 时序网络中关键节点的识别方法研究进展[J]. 电子科技大学学报, 2020, 49(2): 291-314.
|
[18] |
(Chen Shi, Ren Zhuoming, Liu Chuang, et al. Identification Methods of Vital Nodes on Temporal Networks[J]. Journal of University of Electronic Science and Technology of China, 2020, 49(2): 291-314.)
|
[19] |
Chen D B, Lü L Y, Shang M S, et al. Identifying Influential Nodes in Complex Networks[J]. Physica A: Statistical Mechanics and Its Applications, 2012, 391(4): 1777-1787.
|
[20] |
Liu F C, Zhang N, Cao C. An Evolutionary Process of Global Nanotechnology Collaboration: A Social Network Analysis of Patents at USPTO[J]. Scientometrics, 2017, 111(3): 1449-1465.
|
[21] |
Brin S, Page L. The Anatomy of a Large-Scale Hypertextual Web Search Engine[J]. Computer Networks and ISDN Systems, 1998, 30(1-7): 107-117.
|
[22] |
Kleinberg J M. Authoritative Sources in a Hyperlinked Environment[J]. Journal of the ACM, 1999, 46(5): 604-632.
|
[23] |
Xu S, Wang P. Identifying Important Nodes by Adaptive LeaderRank[J]. Physica A: Statistical Mechanics and Its Applications, 2017, 469: 654-664.
|
[24] |
熊回香, 杜瑾, 代沁泉, 等. 基于主题与多维计量指标的学者学术影响力评价研究[J]. 情报理论与实践, 2021, 44(8): 22-27.
doi: 10.16353/j.cnki.1000-7490.2021.08.004
|
[24] |
(Xiong Huixiang, Du Jin, Dai Qinquan, et al. Scholars Academic Influence Evaluation Research Based on Topics and Multi-Dimensional Metrics[J]. Information Studies: Theory & Application, 2021, 44(8): 22-27.)
doi: 10.16353/j.cnki.1000-7490.2021.08.004
|
[25] |
Chen B L, Jiang W X, Chen Y X, et al. Influence Blocking Maximization on Networks: Models, Methods and Applications[J]. Physics Reports, 2022, 976: 1-54.
|
[26] |
Kempe D, Kleinberg J, Tardos É. Maximizing the Spread of Influence Through a Social Network[C]// Proceedings of the 9th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. 2003: 137-146.
|
[27] |
Mugisha S, Zhou H J. Identifying Optimal Targets of Network Attack by Belief Propagation[J]. Physical Review E, 2016, 94(1): 12305.
|
[28] |
Yu S B, Zeng Y F, Pan Y H, et al. Discovering a Cohesive Football Team Through Players’ Attributed Collaboration Networks[J]. Applied Intelligence, 2023, 53(11): 13506-13526.
|
[29] |
Liu X Y, Ye S, Fiumara G, et al. Influential Spreaders Identification in Complex Networks with TOPSIS and K-Shell Decomposition[J]. IEEE Transactions on Computational Social Systems, 2023, 10(1): 347-361.
|
[30] |
Maji G, Namtirtha A, Dutta A, et al. Influential Spreaders Identification in Complex Networks with Improved K-Shell Hybrid Method[J]. Expert Systems with Applications, 2020, 144: Article No.113092.
|
[31] |
Zeng A, Zhang C J. Ranking Spreaders by Decomposing Complex Networks[J]. Physics Letters A, 2013, 377(14): 1031-1035.
|
[32] |
杨青, 郑璐, 邹星琪. 基于风险传播网络和K-Shell方法的复杂研发项目风险评价[J]. 管理评论, 2021, 33(9): 119-127.
|
[32] |
(Yang Qing, Zheng Lu, Zou Xingqi. Risk Analysis of Complex R&D Projects Based on Risk Propagation Network and K-Shell Method[J]. Management Review, 2021, 33(9): 119-127.)
|
[33] |
Zachary W W. An Information Flow Model for Conflict and Fission in Small Groups[J]. Journal of Anthropological Research, 1977, 33(4): 452-473.
|
[34] |
Hage P, Harary F. Structural Models in Anthropology[M]. Cambridge: Cambridge University Press, 1983: 56-60.
|
[35] |
Albert R, Jeong H, Barabási A L. Error and Attack Tolerance of Complex Networks[J]. Nature, 2000, 406: 378-382.
|
[36] |
Crucitti P, Latora V, Marchiori M, et al. Error and Attack Tolerance of Complex Networks[J]. Physica A: Statistical Mechanics and Its Applications, 2004, 340(1-3): 388-394.
|
[37] |
Schneider C M, Moreira A A, Andrade J S, et al. Mitigation of Malicious Attacks on Networks[J]. PNAS, 2011, 108(10): 3838-3841.
doi: 10.1073/pnas.1009440108
pmid: 21368159
|
[38] |
韩忠明, 陈炎, 李梦琪, 等. 一种有效的基于三角结构的复杂网络节点影响力度量模型[J]. 物理学报, 2016, 65(16): 289-300.
|
[38] |
(Han Zhongming, Chen Yan, Li Mengqi, et al. An Efficient Node Influence Metric Based on Triangle in Complex Networks[J]. Acta Physica Sinica, 2016, 65(16): 289-300.)
|
[39] |
Bae J, Kim S. Identifying and Ranking Influential Spreaders in Complex Networks by Neighborhood Coreness[J]. Physica A: Statistical Mechanics and Its Applications, 2014, 395: 549-559.
|
[40] |
Gleiser P M, Danon L. Community Structure in Jazz[J]. Advances in Complex Systems, 2003, 6(4): 565-573.
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|