Identifying influential nodes in complex networks based on global and local structure

Abstract Identifying influential nodes in complex networks is still an open issue. A number of measures have been proposed to improve the validity and accuracy of the influential nodes in complex networks. In this paper, we propose a new method, called GLS, to identify influential nodes. This method aims to determine the influence of the nodes themselves, while combining the structural characteristics of the network. This method considers not only the local structure of the network but also its global structure. The influence of the global structure is measured by its closeness to all other nodes in the network, but the influence of local structures only considers the influence contribution of the nearest neighbor nodes. To evaluate the performance of GLS, we use the Susceptible-Infected-Recovered (SIR) model to examine the spreading efficiency of each node, and compare GLS with PageRank, Hyperlink Induced Topic Search (Hits), K-shell, H-index, eigenvector centrality (EC), closeness centrality (CC), ProfitLeader, betweenness centrality (BC) and Weighted Formal Concept Analysis (WFCA) on 8 real-world networks. The experimental results show that GLS can rank the spreading ability of nodes more accurately and more efficiently than other methods.

[1]  Han Zhao,et al.  Identifying influential nodes in complex networks with community structure , 2013, Knowl. Based Syst..

[2]  Gert Sabidussi,et al.  The centrality index of a graph , 1966 .

[3]  Nan Chen,et al.  A novel measure of identifying influential nodes in complex networks , 2019, Physica A: Statistical Mechanics and its Applications.

[4]  A Díaz-Guilera,et al.  Self-similar community structure in a network of human interactions. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Jie Cao,et al.  Detecting Prosumer-Community Groups in Smart Grids From the Multiagent Perspective , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[6]  Jianping Fan,et al.  Ranking influential nodes in social networks based on node position and neighborhood , 2017, Neurocomputing.

[7]  P. Bonacich Factoring and weighting approaches to status scores and clique identification , 1972 .

[8]  Santo Fortunato,et al.  Community detection in graphs , 2009, ArXiv.

[9]  Shuang Xu,et al.  Identifying important nodes by adaptive LeaderRank , 2017 .

[10]  Aihua Li,et al.  Fast and Accurate Mining the Community Structure: Integrating Center Locating and Membership Optimization , 2016, IEEE Transactions on Knowledge and Data Engineering.

[11]  Hui Gao,et al.  Identifying Influential Nodes in Large-Scale Directed Networks: The Role of Clustering , 2013, PloS one.

[12]  Junseok Hwang,et al.  Identification of effective opinion leaders in the diffusion of technological innovation: A social network approach , 2012 .

[13]  Bin Wang,et al.  Overlapping Community Detection Based on Information Dynamics , 2018, IEEE Access.

[14]  Congliang Tu,et al.  Fast ranking nodes importance in complex networks based on LS-SVM method , 2018, Physica A: Statistical Mechanics and its Applications.

[15]  Lei Gao,et al.  Promoting information spreading by using contact memory , 2017, 1703.06422.

[16]  Hui-Jia Li,et al.  Multi-scale asynchronous belief percolation model on multiplex networks , 2019, New Journal of Physics.

[17]  Jie Cao,et al.  Enhance the Performance of Network Computation by a Tunable Weighting Strategy , 2018, IEEE Transactions on Emerging Topics in Computational Intelligence.

[18]  Hassan Badir,et al.  Identification of influential spreaders in complex networks using HybridRank algorithm , 2018, Scientific Reports.

[19]  J. A. Rodríguez-Velázquez,et al.  Subgraph centrality in complex networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Michalis Vazirgiannis,et al.  Locating influential nodes in complex networks , 2016, Scientific Reports.

[21]  R. May,et al.  Infectious Diseases of Humans: Dynamics and Control , 1991, Annals of Internal Medicine.

[22]  Haifeng Zhang,et al.  Identifying multiple influential spreaders by a heuristic clustering algorithm , 2017 .

[23]  Jon Kleinberg,et al.  Authoritative sources in a hyperlinked environment , 1999, SODA '98.

[24]  Guanrong Chen,et al.  A study of the spreading scheme for viral marketing based on a complex network model , 2010 .

[25]  Qi Zhang,et al.  Identifying influential nodes in complex networks based on the inverse-square law , 2018, Physica A: Statistical Mechanics and its Applications.

[26]  Aihua Li,et al.  Graph K-means Based on Leader Identification, Dynamic Game, and Opinion Dynamics , 2020, IEEE Transactions on Knowledge and Data Engineering.

[27]  L. Freeman Centrality in social networks conceptual clarification , 1978 .

[28]  Gorka Zamora-López,et al.  Cortical Hubs Form a Module for Multisensory Integration on Top of the Hierarchy of Cortical Networks , 2009, Front. Neuroinform..

[29]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[30]  Bin Wang,et al.  Identifying Influential Nodes in Complex Networks Based on Weighted Formal Concept Analysis , 2017, IEEE Access.

[31]  Rajeev Motwani,et al.  The PageRank Citation Ranking : Bringing Order to the Web , 1999, WWW 1999.

[32]  W. Zachary,et al.  An Information Flow Model for Conflict and Fission in Small Groups , 1977, Journal of Anthropological Research.

[33]  Christos Faloutsos,et al.  Graph evolution: Densification and shrinking diameters , 2006, TKDD.

[34]  Alex Pentland,et al.  Reality mining: sensing complex social systems , 2006, Personal and Ubiquitous Computing.

[35]  John Skvoretz,et al.  Node centrality in weighted networks: Generalizing degree and shortest paths , 2010, Soc. Networks.

[36]  Yong Deng,et al.  Generalized Ordered Propositions Fusion Based on Belief Entropy , 2018, Int. J. Comput. Commun. Control.

[37]  Guo Jiang-wei,et al.  Improved Method of Node Importance Evaluation Based on Node Contraction in Complex Networks , 2011 .

[38]  Ryan A. Rossi,et al.  The Network Data Repository with Interactive Graph Analytics and Visualization , 2015, AAAI.

[39]  Duanbing Chen,et al.  Vital nodes identification in complex networks , 2016, ArXiv.

[40]  M. Kendall A NEW MEASURE OF RANK CORRELATION , 1938 .

[41]  Lev Muchnik,et al.  Identifying influential spreaders in complex networks , 2010, 1001.5285.

[42]  Feng Huang,et al.  Robust Prototype-Based Learning on Data Streams , 2018, IEEE Transactions on Knowledge and Data Engineering.

[43]  Zejun Sun,et al.  ProfitLeader: identifying leaders in networks with profit capacity , 2018, World Wide Web.