[1] Stauffer D, Aharony A. Introduction to percolation theory[M]. Boca Ra ton, Florida USA:CRC Press, 1994.
[2] Christensen K, Moloney N R. Complexity and criticality[M]. London:Im perial College Press, 2005.
[3] Ziff R M, Scullard C R. Exact bond percolation thresholds in two di mensions[J]. Journal of Physics A:Mathematical and General, 2006, 39(49):15083.
[4] Newman M E J, Ziff R M. Efficient Monte Carlo algorithm and highprecision results for percolation[J]. Physical Review Letters, 2000, 85(19):4104.
[5] Deng Y, Blöte H W J. Monte Carlo study of the site-percolation model in two and three dimensions[J]. Physical Review E, 2005, 72(1):016126.
[6] Newman M E J. Spread of epidemic disease on networks[J]. Physical re view E, 2002, 66(1):016128.
[7] Pastor-Satorras R, Castellano C, Van Mieghem P, et al. Epidemic pro cesses in complex networks[J]. Reviews of Modern Physics, 2015, 87(3):925.
[8] Cohen R, Erez K, Ben-Avraham D, et al. Resilience of the internet to random breakdowns[J]. Physical Review Letters, 2000, 85(21):4626.
[9] Cohen R, Erez K, Ben-Avraham D, et al. Breakdown of the internet un der intentional attack[J]. Physical Review Letters, 2001, 86(16):3682.
[10] Cohen R, Havlin S. Complex networks:Structure, robustness and func tion[M]. Cambridge:Cambridge University Press, 2010.
[11] Boccaletti S, Bianconi G, Criado R, et al. The structure and dynamics of multilayer networks[J]. Physics Reports, 2014, 544(1):1-122.
[12] Li W, Bashan A, Buldyrev S V, et al. Cascading failures in interdepen dent lattice networks:The critical role of the length of dependency links[J]. Physical Review Letters, 2012, 108(22):228702.
[13] Lowinger S, Cwilich G A, Buldyrev S V. Interdependent lattice net works in high dimensions[J]. Physical Review E, 2016, 94(5):052306.
[14] Son S W, Grassberger P, Paczuski M. Percolation transitions are not al ways sharpened by making networks interdependent[J]. Physical Re view Letters, 2011, 107(19):195702.
[15] Liu X W, Deng Y, Jacobsen J L. Recursive percolation[J]. Physical Re view E, 2015, 92(1):010103.
[16] Buldyrev S V, Parshani R, Paul G, et al. Catastrophic cascade of fail ures in interdependent networks[J]. Nature, 2010, 464(7291):1025-1028.
[17] Bashan A, Berezin Y, Buldyrev S V, et al. The extreme vulnerability of interdependent spatially embedded networks[J]. Nature Physics, 2013, 9(10):667-672.
[18] Grassberger P. Percolation transitions in the survival of interdependent agents on multiplex networks, catastrophic cascades, and solid-on-sol id surface growth[J]. Physical Review E, 2015, 91(6):062806.
[19] Son S W, Bizhani G, Christensen C, et al. Percolation theory on inter dependent networks based on epidemic spreading[J]. Europhysics Let ters, 2012, 97(1):16006.
[20] Feng L, Monterola C P, Hu Y. The simplified self-consistent probabili ties method for percolation and its application to interdependent net works[J]. New Journal of Physics, 2015, 17(6):063025.
[21] 李明. 网络逾渗与级联故障[D]. 合肥:中国科学技术大学近代物理系, 2014. Li Ming. Network percolation and cascading failures[D]. Hefei:Depart ment of Modern Physics, University of Science and Technology of Chi na, 2014.
[22] Li M, Wang B H. Percolation on networks with dependence links[J]. Chinese Physics B, 2014, 23(7):076402.
[23] Baxter G J, Dorogovtsev S N, Goltsev A V, et al. Avalanche collapse of interdependent networks[J]. Physical Review Letters, 2012, 109(24):248701.
[24] Zhou D, Bashan A, Cohen R, et al. Simultaneous first-and second-or der percolation transitions in interdependent networks[J]. Physical Re view E, 2014, 90(1):012803.
[25] Lee D, Choi S, Stippinger M, et al. Hybrid phase transition into an ab sorbing state:Percolation and avalanches[J]. Physical Review E, 2016, 93(4):042109.
[26] Parshani R, Buldyrev S V, Havlin S. Interdependent networks:Reduc ing the coupling strength leads to a change from a first to second or der percolation transition[J]. Physical Review Letters, 2010, 105(4):048701.
[27] Cellai D, López E, Zhou J, et al. Percolation in multiplex networks with overlap[J]. Physical Review E, 2013, 88(5):052811.
[28] Hu Y, Zhou D, Zhang R, et al. Percolation of interdependent networks with intersimilarity[J]. Physical Review E, 2013, 88(5):052805.
[29] Parshani R, Rozenblat C, Ietri D, et al. Inter-similarity between cou pled networks[J]. Europhysics Letters, 2011, 92(6):68002.
[30] Valdez L D, Macri P A, Stanley H E, et al. Triple point in correlated interdependent networks[J]. Physical Review E, 2013, 88(5):050803.
[31] Bianconi G, Dorogovtsev S N. Multiple percolation transitions in a con figuration model of a network of networks[J]. Physical Review E, 2014, 89(6):062814.
[32] Radicchi F. Percolation in real interdependent networks[J]. Nature Physics, 2015, 11(7):597-602.
[33] Bianconi G, Radicchi F. Percolation in real multiplex networks[J]. Physical Review E, 2016, 94(6):060301.
[34] Watanabe S, Kabashima Y. Cavity-based robustness analysis of inter dependent networks:Influences of intranetwork and internetwork de gree-degree correlations[J]. Physical Review E, 2014, 89(1):012808.
[35] Cellai D, Dorogovtsev S N, Bianconi G. Message passing theory for percolation models on multiplex networks with link overlap[J]. Physi cal Review E, 2016, 94(3):032301.
[36] Hackett A, Cellai D, Gómez S, et al. Bond percolation on multiplex networks[J]. Physical Review X, 2016, 6(2):021002.
[37] Bianconi G. Epidemic spreading and bond percolation in multilayer networks[J]. Journal of Statistical Mechanics:Theory and Experiment, 3, 2017, 3(3):034001.
[38] Li M, Liu R R, Peng D, et al. Channel is more important than effec tiveness in spreading dynamics on multiplex networks[J]. arXiv pre print arXiv, 2016:1604.05209.
[39] 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 of the United States of America, 2011, 108(3):1007-1010.
[40] Gao J, Buldyrev S V, Havlin S, et al. Robustness of a network of net works[J]. Physical Review Letters, 2011, 107(19):195701.
[41] Gao J, Buldyrev S V, Stanley H E, et al. Percolation of a general net work of networks[J]. Physical Review E, 2013, 88(6):062816.
[42] Gao J, Buldyrev S V, Stanley H E, et al. Networks formed from inter dependent networks[J]. Nature physics, 2012, 8(1):40-48.
[43] Azimi-Tafreshi N, Gómez-Gardenes J, Dorogovtsev S N. K-core per colation on multiplex networks[J]. Physical Review E, 2014, 90(3):032816.
[44] Brummitt C D, Lee K M, Goh K I. Multiplexity-facilitated cascades in networks[J]. Physical Review E, 2012, 85(4):045102.
[45] Gao J, Li D, Havlin S. From a single network to a network of networks[J]. National Science Review, 2014, 1(3):346-356.
[46] Kivelä M, Arenas A, Barthelemy M, et al. Multilayer networks[J]. Jour nal of complex networks, 2014, 2(3):203-271.
[47] Danziger M M, Bashan A, Berezin Y, et al. An introduction to interde pendent networks[J]. Nonlinear Dynamics of Electronic Systems, 2014, 438:189-202.
