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复杂系统与复杂性科学  2015, Vol. 12 Issue (2): 103-107    DOI: 10.13306/j.1672-3813.2015.02.016
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多层复杂网络理论研究进展:概念、理论和数据
张欣
上海海事大学交通运输学院,上海 201306
Multilayer Networks Science: Concepts, Theories and Data
ZHANG Xin
School of Traffic and Transportation, Shanghai Maritime University,Shanghai 201306,China
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摘要 对多层复杂网络近期发展历程和代表性研究进行了回顾和梳理。从概念、理论模型和数据三方面入手,阐述了多层复杂网络的科学本质、理论瓶颈及现实应用。并指出多层复杂网络是网络科学发展的重要发向,未来亟待形成规范且具有普适性的概念体系和研究范式;理论模型将进一步体现多层网络依存性和交互性的优势而不是单个网络的简单叠加;现实应用层面将从模型验证更多地向优化现实系统的方向发展。
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张欣
关键词 网络科学多层网络多维型网络依存型网络    
Abstract:A brief review about multilayer networks research is given in this paper. The concept, theoretical model and data analysis of multilayer networks are introduced, which help us to draw scientific essence as well as pinpoint practical bottleneck and open questions in the future. As one of very important directions in network science, future studies of multilayer networks should focus on three aspects. First, for concept system, form a standardized and universal research paradigm. Second, develop the theoretical model to utilize the dependence and interaction of multilayer networks rather than sum of exiting models of single network. At last, in empirical research it is necessary to transit from verifying current model based on real data to improve real system via the theoretical model.
Key wordsnetwork science    multilayer networks    multi-relational networks    interdependent networks
收稿日期: 2014-10-11      出版日期: 2026-06-22
ZTFLH:  N94  
基金资助:教育部人文社会科学青年基金(10YJC630394);上海市重点学科建设项目(S30601)
作者简介: 张欣(1982-),女,浙江湖州人,博士,副教授,主要研究方向为复杂网络理论建模、交通运输系统风险分析等。
引用本文:   
张欣. 多层复杂网络理论研究进展:概念、理论和数据[J]. 复杂系统与复杂性科学, 2015, 12(2): 103-107.
ZHANG Xin. Multilayer Networks Science: Concepts, Theories and Data[J]. Complex Systems and Complexity Science, 2015, 12(2): 103-107.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2015.02.016      或      https://fzkx.qdu.edu.cn/CN/Y2015/V12/I2/103
[1] Watts D J and Strogatz S H. Collective dynamics of 'small world' networks[J]. Nature 1998, 393(6684): 440-442.
[2] Barab′asi A-L and Albert R. Emergence of scaling in random networks[J]. Science 1999, 286(5439): 509-512.
[3] Albert R and Barab′asi A-L. Statistical mechanics of complex networks[J]. Reviews of modern physics, 2002, 74(1): 47-97.
[4] Gallos L K, Cohen R,Argyrakis P, et al. Stability and topology of scale-free networks under attack and defense strategies[J]. Physical review letters, 2005, 94(18): 188701.
[5] Newman M, Barab′asi A-L ,Watts D J. The Structure and Dynamics of Networks[M]. Princeton: Princeton University Press, 2006: 23-37.
[6] Cohen R and Havlin S. Complex Networks: Structure, Robustness and Function[M]. Cambridge: Cambridge University Press, 2010:50-62.
[7] Strogatz S H. Exploring complex networks[J]. Nature, 2001, 410(6825): 268-276.
[8] Dorogovtsev S N, Mendes J F. Evolution of networks[J], Advances in physics, 2002, 51 (4):1079-1187.
[9] Watts D J, Small Worlds: The Dynamics of Networks Between Order and Randomness[M], Princeton University Press, Princeton, NJ, USA, 1999: 71-89.
[10] Boccaletti S, Latora V, Moreno Y, et al. Complex networks : Structure and dynamics[J]. Physics reports, 2006, 424 (4) :175-308.
[11] Cardillo A, Zanin M, Gómez-Gardees J, et al. Modeling the multi-layer nature of the European air transport network: Resilience and passengers re-scheduling under random failures[J]. European Physical Journal Special Topics, 2013, 215:23-33.
[12] Szell M, Thurner S. Measuring social dynamics in a massive multiplayer online game[J]. Social Networks, 2010, 32(4):313-329.
[13] Mendonça, D ,Wallace W A. Impacts of the 2001 World Trade Center attack on New York City critical infrastructures[J]. Journal of Infrastructure Systems, 2006, 12(4): 260-270.
[14] Zhang X, Podobnik B, Kenett D Y, et al. Systemic Risk and Causality Dynamics of the World International Shipping Market[J]. Physica A, 2014, 415:43-53.
[15] Rosato V, Issacharoff L, Tiriticco F ,et al. Modelling interdependent infrastructures using interacting dynamical models[J]. International Journal of Critical Infrastructures, 2008. 4(1), 63-79.
[16] Mansson D, Thottappillil R ,Backstrom M. Methodology for classifying facilities with respect to intentional EMI[J]. Electromagnetic Compatibility, 2009, 51(1): 46-52.
[17] Kivelä M, Arenas A, Barthelemy M, et al. Multilayer networks[J]. J Complex Networks, 2014. 2(3): 203-271.
[18] Gao J, Li D, Havlin S. From a single network to a network of networks[J]. National Science Review, 2014, 1 (3), 346-356.
[19] Boccaletti S, Bianconi G, Criado R, et al. The structure and dynamics of multilayer networks[J]. Physics Reports, 2014, 544(1):1-122.
[20] Sun Y, Han J. Mining heterogeneous information networks: a structural analysis approach[J]. ACM SIGKDD Explorations Newsletter, 2013, 14(2):20-28.
[21] Holme P ,Saramäki J. Temporal networks[J]. Physics reports, 2012, 519(3):97-125.
[22] Mucha P J , Porter M A. Communities in multi-slice voting networks[J]. Chaos, 2010, 20(4):041108.
[23] Buldyrev S V, Parshani R ,Paul G, et al. Catastrophic cascade of failures in interdependent networks[J]. Nature, 2010; 464(7291): 1025-1028.
[24] Parshani R, Buldyrev S V , Havlin S. Interdependent networks: reducing the coupling strength leads to a change from a first to second order percolation transition[J]. Physical review letters, 2010; 105(4): 048701.
[25] Shao J, Buldyrev S V ,Havlin S, et al. Cascade of failures in coupled network systems with multiple support-dependence relations[J]. Physical Review E, 2011, 83(3): 036116.
[26] Gao J, Buldyrev S V , Havlin S, et al. Robustness of a network of networks[J]. Physical Review Letters, 2011, 107(19): 195701.
[27] Gao J, Buldyrev S V , Stanley H E, et al. Networks formed from interdependent networks[J]. Nature physics, 2011, 8(1): 40-48.
[28] Battiston F, Nicosia V, Latora V. Structural measures for multiplex networks[J], Physical Review E, 2014, 89(3):032804.
[29] Cozzo E, Kivelä M, Domenico M D, et al. Clustering Coefficients in Multiplex Networks[DB/OL], ArXiv e-printsar, 2013. http://arxiv.org/abs/1307.6780.
[30] Parshani R, Buldyrev S V, Havlin, S. Critical effect of dependency groups on the function of networks[J]. Proceedings of the National Academy of Sciences, 2011, 108(3): 1007-1010.
[31] Huang X, Gao J, Buldyrev SV, et al. Robustness of interdependent networks under targeted attack[J]. Physical Review E, 2011, 83(6): 065101.
[32] Dong G, Gao J, Tian L, et al. Percolation of partially interdependent networks under targeted attack[J]. Physical Review E, 2012; 85(1): 016112.
[33] Parshani R, Rozenblat C, Ietri D, et al. Inter-similarity between coupled networks[J]. EPL, 2010, 92(6): 68002.
[34] Hu Y, Ksherim B, Cohen R, et al. Percolation in interdependent and interconnected networks: abrupt change from second to first order transition[J]. Physical Review E, 2011, 84(6): 066116.
[35] Hu H, Zhou D, Zhang R, et al. Percolation of interdependent networks with inter-similarity[J]. Physical Review E, 2013, 88(5): 052805.
[36] Min B, Goh K-I. Layer-crossing overhead and information spreading in multiplex social networks[DB/OL],[2014-6-30]. http://arxiv.org/abs/1307.2967.
[37] Dickison M, Havlin S, Stanley H E, Epidemics on interconnected networks[J]. Physical Review E, 2012, 85 (6): 066109.
[38] Gómez-Gardees J, Reinares I, Arenas A, et al. Evolution of cooperation in multiplex networks[J]. Scientific reports, 2012, 620(2):1-6.
[39] Santos M, Dorogovtsev S, Mendes J. Biased imitation in coupled evolutionary games in interdependent networks[J]. Scientific reports, 2014, 4436(4):1-6.
[40] Wang Z, Wang L, Perc M, Degree mixing in multilayer networks impedes the evolution of cooperation[J]. Physical Review E, 2014, 89(5): 052813.
[41] Li F, Lu X. Complete synchronization of temporal boolean networks[J]. Neural Networks, 2013, 44:72-77.
[42] Aguirre J, Sevilla-Escoboza R, Gutiérrez R D, et al. Synchronization of interconnected networks: The role of connector nodes[J]. Physical Review Letters, 2014, 112(24): 248701.
[43] Cardillo A, Gómez-Gardees J, Zanin M, et al. Emergence of network features from multiplexity[J]. Scientific reports, 2013, 3:1-6.
[44] Kaluza P, Kölzsch A, Gastner M T, et al. The complex network of global cargo ship movements[J]. Journal of the Royal Society Interface, 2010, 7(48):1093-1103.
[45] Zhang X, Shao S, Stanley H E, et al. Dynamic motifs in socio-economic networks. EPL, 2014, 108(5), 58001.
[46] Szell M, Lambiotte R, Thurner S. Multi-relational organization of large-scale social networks in an online world[J]. Proceedings of the National Academy of Sciences, 2010, 107 (31): 13636-13641.
[47] Halu A, Mondragón RJ, Panzarasa P, et al. Multiplex pagerank[J]. PLOS ONE, 2013, 8(10): e78293.
[48] Mahutga M C. Multi-relational international trade networks, 1965-2000[J]. Connections, 2013, 33(1):46-49.
[49] Li W, Liu C-C, Zhang T, et al. Integrative analysis of many weighted co-expression networks using tensor computation[J]. PLoS computational biology, 2011, 7(6):e1001106.
[50] Yagan O, Qian D, Zhang J, et al. Optimal allocation of interconnecting links in cyber-physical systems: interdependence, cascading failures, and robustness[J]. Parallel and Distributed Systems, IEEE Transactions, 2012, 23(9): 1708-1720
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