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Collective Influence Centrality Combining Neighborhood Robustness and Degree Equilibrium |
SONG Jiaxiu, YANG Xiaocui, ZHANG Xihuang
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School of Internet of Things Engineering,Jiangnan University,Wuxi 214122, China |
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Abstract Collective influence (CI) centrality is one of the latest achievements in the measurement of node influences, which is designed based on the locally tree-like network and regards the importance of nodes in the global connection as the representation of their influence. However, it ignores the neighborhood distribution of each node and the difference in the robustness of the local network structure. Therefore, based on CI centrality, the influencing factors in the local network topology such as the neighborhood robustness of the target node, the degree distribution of the l-order neighbors and the connection strength between clusters of the l-order neighborhood are analyzed, defined and quantified. Then, a more universal centrality measurement method called NewCI is proposed to evaluate the influence of nodes. The stability of its overall performance and its better effectiveness and accuracy over CI in node influence measurement are demonstrated by the network invulnerability experiments in six real complex network datasets. Considering the effectiveness, time complexity and execution efficiency, NewCI also has a greater advantage than other commonly used centrality method.
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Received: 10 January 2019
Published: 04 July 2019
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[1] |
Morone F, Makse H A. Influence maximization in complex networks through optimal percolation[J]. Nature, 2015, 524(7563): 65.
|
[2] |
Teng X, Pei S, Morone F, et al. Collective influence of multiple spreaders evaluated by tracing real information flow in large-scale social networks[J]. Scientific reports, 2016, 6: 36043.
|
[3] |
Pei S, Teng X, Shaman J, et al. Efficient collective influence maximization in cascading processes with first-order transitions[J]. Scientific Reports, 2017, 7: 45240.
|
[4] |
Kitsak M, Gallos L K, Havlin S, et al. Identification of influential spreaders in complex networks[J]. Nature physics, 2010, 6(11): 888.
|
[5] |
Min B, Morone F, Makse H A. Searching for influencers in big-data complex networks[J]. Diffusive spreading in nature, technology and society. Springer, Cham, 2016.
|
[6] |
Pei S, Morone F, Makse H A. Theories for influencer identification in complex networks[M]∥Complex Spreading Phenomena in Social Systems. Springer, Cham, 2018: 125148.
|
[7] |
Pei S, Muchnik L, Andrade Jr J S, et al. Searching for superspreaders of information in real-world social media[J]. Scientific reports, 2014, 4: 5547.
|
[8] |
Liu Y, Tang M, Zhou T, et al. Core-like groups result in invalidation of identifying super-spreader by k-shell decomposition[J]. Scientific reports, 2015, 5: 9602.
|
[9] |
Liu Y, Tang M, Zhou T, et al. Improving the accuracy of the k-shell method by removing redundant links: From a perspective of spreading dynamics[J]. Scientific reports, 2015, 5: 13172.
|
[10] |
Lü L, Zhou T, Zhang Q M, et al. The H-index of a network node and its relation to degree and coreness[J]. Nature communications, 2016, 7: 10168.
|
[11] |
Martin T, Zhang X, Newman M E J. Localization and centrality in networks[J]. Physical review E, 2014, 90(5): 052808.
|
[12] |
Radicchi F, Castellano C. Leveraging percolation theory to single out influential spreaders in networks[J]. Physical Review E, 2016, 93(6): 062314.
|
[13] |
Zhou T, Liu J G, Wang B H. Notes on the algorithm for calculating betweenness[J]. Chinese Physics Letters, 2006, 23(8): 23272329.
|
[14] |
Fouss F, Pirotte A, Renders J M, et al. Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation[J]. IEEE Transactions on knowledge and data engineering, 2007, 19(3): 355369.
|
[15] |
Latora V, Marchiori M. Efficient behavior of small-world networks[J]. Physical review letters, 2001, 87(19): 198701.
|
[16] |
Ji S, Lu L, Yeung C H, et al. Effective spreading from multiple leaders identified by percolation in social networks[J]. arXiv preprint arXiv:1508.04294, 2015.
|
[17] |
Krzakala F, Moore C, Mossel E, et al. Spectral redemption in clustering sparse networks[J]. Proceedings of the National Academy of Sciences, 2013, 110(52): 2093520940.
|
[18] |
Watts D J, Strogatz S H. Collective dynamics of ‘small-world’ networks[J]. Nature, 1998, 393(6684): 440442.
|
[19] |
Yang T, Jin R, Chi Y, et al. Combining link and content for community detection: a discriminative approach[C]∥Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. ACM, 2009: 927936.
|
[20] |
De Nooy W. A literary playground: Literary criticism and balance theory[J]. Poetics, 1999, 26(56): 385404.
|
[21] |
De Nooy W, Mrvar A, Batagelj V. Exploratory Social network analysis with Pajek[M]. Cambridge University Press, 2018.
|
[22] |
Michael J H, Massey J G. Modeling the communication network in a sawmill[J]. Forest Products Journal, 1997, 47(9): 25.
|
[23] |
宋甲秀, 杨晓翠, 张曦煌. 复杂网络中 Top-k 影响力节点的识别算法[J]. 计算机科学与探索, 2018, 12(6): 928939.Song Jiaxiu, Yang Xiaocui, Zhang Xihuang. Top-k influential nodes identification algorithm in complex Networks[J]. Journal of Frontiers of Computer Science and Technology, 2018, 12(6):928939.
|
[24] |
Leskovec J, Adamic L A, Huberman B A. The dynamics of viral marketing[J]. ACM Transactions on the Web (TWEB), 2007, 1(1): 5.
|
|
|
|