Recent Progress on Multiplayer and Temporal Networks
GU Jiao1,2, GUO Long3, JIANG Jian4, CHI Liping2, LI Wei2
1. School of Science, Jiangnan University, Wuxi 214122, China; 2. College of Physical Science and Technology, Huazhong Normal University, Wuhan 430079, China; 3. School of Mathematics and Physics, China University of Geosciences (Wuhan), Wuhan 430074, China; 4. Research Center of Nonlinear Science and College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430200, China
Abstract:In this article, a review on recent progress of related fields is given, based on the robustness of multilayer networks, the Laplacian spectra of multilayer networks, the time pattern of temporal networks, the opinion dynamics on multilayer networks and temporal networks.
[1] Rosato V, Issacharoff L, Tiriticco F, et al. Modelling interdependent infrastructures using interacting dynamical models[J].International Journal of Critical Infrastructures, 2008, 4(1/2): 63-79. [2] Buldyrev S V, Parshani R, Paul G, et al. Catastrophic cascade of failures in interdependent networks[J].Nature, 2010, 464(7291): 1025-1028. [3] 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. [4] Zhou D, Stanley H E, D’Agostino G, et al. Assortativity decreases the robustness of interdependent networks[J].Physical Review E, 2012, 86(6): 066103. [5] Huang X, Shao S, Wang H, et al. The robustness of interdependent clustered networks[J].Europhys Lett, 2013, 101(1): 18002. [6] Shao J, Buldyrev S, Havlin S, et al. Cascade of failures in coupled network systems with multiple support-dependence relations[J].Physical Review E, 2011,83(3):036116. [7] Dong G, Gao J, Tian L, et al. Percolation of partially interdependent networks under targeted attack[J].Physical Review E, 2012, 85(1): 016112. [8] Dong G, Tian L, Du R, et al. Analysis of percolation behaviors of clustered networks with partial support–dependence relations[J].Physica A, 2014, 394: 370-378. [9] Dong G G, Tian L X, Zhou D, et al. Robustness of n interdependent networks with partial support-dependence relationship[J].Europhys Lett, 2013, 102: 68004. [10] Li W, Bashan A, Buldyrev S V, et al. Cascading failures in interdependent lattice networks: The critical role of the length of dependency links[J].Physical review letters, 2012, 108(22): 228702. [11] Morris R G, Barthelemy M. Transport on coupled spatial networks[J].Physical review letters, 2012, 109(12): 128703. [12] Gao J, Buldyrev S V, Havlin S, et al. Robustness of a network of networks[J].Physical Review Letters, 2011, 107(19): 195701. [13] Gao J, Buldyrev S V, Stanley H E, et al. Percolation of a general network of networks[J].Physical Review E, 2013, 88(6): 062816. [14] Dong G, Gao J, Du R, et al. Robustness of network of networks under targeted attack[J].Physical Review E, 2013, 87(5): 052804. [15] Cellai D, López E, Zhou J, et al. Percolation in multiplex networks with overlap[J].Physical Review E, 2013, 88(5): 052811. [16] Gao J, Buldyrev S V, Havlin S, et al. Robustness of a network formed by n interdependent networks with a one-to-one correspondence of dependent nodes[J].Physical Review E, 2012, 85(6): 066134. [17] Tang M, Cui A X, Gong K. On spreading dynamics on coupled networks[J].Complex systems and complexity science, 2011, 8(2):89-91. [18] Li G Y, Cheng B S, Zhang P, et al. Review of the interdependent networks[J].Journal of University of Electronic Science and Technology of China, 2013, 42(1): 23-28. [19] Jiang J, Li W, Cai X. The effect of interdependence on the percolation of interdependent networks[J].Physica A: Statistical Mechanics and its Applications, 2014, 410: 573-581. [20] Pecora L M, Carroll T L. Master stability functions for synchronized coupled systems[J].Physical Review Letters, 1998, 80(10): 2109. [21] Almendral J A, Díaz-Guilera A. Dynamical and spectral properties of complex networks[J].New Journal of Physics, 2007, 9(6): 187. [22] Barahona M, Pecora L M. Synchronization in small-world systems[J].Physical review letters, 2002, 89(5): 054101. [23] Sole-Ribalta A, De Domenico M, Kouvaris N E, et al. Spectral properties of the Laplacian of multiplex networks[J].Physical Review E, 2013, 88(3): 032807. [24] Holme P, Saramäki J. Temporal networks[J].Physics reports, 2012, 519(3): 97-125. [25] Krings G, Karsai M, Bernhardsson S, et al. Effects of time window size and placement on the structure of an aggregated communication network[J].EPJ Data Science, 2012, 1(4): 1-16. [26] Chi L. Measuring microscopic evolution processes of complex networks based on empirical data[J].Journal of Physics: Conference Series, 2015, 604(1): 012004. [27] Trajanovski S, Scellato S, Leontiadis I. Error and attack vulnerability of temporal networks[J].Physical Review E, 2012, 85(6): 066105. [28] Ribeiro B, Perra N, Baronchelli A. Quantifying the effect of temporal resolution on time-varying networks[J].Scientific reports, 2012, 3(10):3006. [29] Holme P. Epidemiologically optimal static networks from temporal network data[J].PLoS Comput Biol, 2013, 9(7): e1003142. [30] Karsai M, Kivel M, Pan R K, et al. Small but slow world: how network topology and burstiness slow down spreading[J].Physical Review E, 2011, 83(2): 025102. [31] Starnini M, Baronchelli A, Barrat A, et al. Random walks on temporal networks[J].Physical Review E, 2012, 85(5): 056115. [32] Jo H H, Perotti J I, Kaski K, et al. Analytically solvable model of spreading dynamics with non-Poissonianprocesses[J].Physical Review X, 2014, 4(1): 011041. [33] Rocha L E C, Liljeros F, Holme P. Simulated epidemics in an empirical spatiotemporal network of 50,185 sexual contacts[J].PLoS Comput Biol, 2011, 7(3): e1001109. [34] Lambiotte R, Tabourier L, Delvenne J C. Burstiness and spreading on temporal networks[J].The European Physical Journal B, 2013, 86(7): 1-4. [35] Holme P, Liljeros F. Birth and death of links control disease spreading in empirical contact networks[J].Scientific Reports, 2014, 4(6186):934. [36] Miritello G, Moro E, Lara R. Dynamical strength of social ties in information spreading[J].Physical Review E, 2011, 83(4): 045102. [37] Galam S. Sociophysics: a review of Galammodels[J].International Journal of Modern Physics C, 2008, 19(3): 409-440. [38] Castellano C, Fortunato S, Loreto V. Statistical physics of social dynamics[J].Reviews of modern physics, 2009, 81(2): 591. [39] Lallouache M, Chakrabarti A S, Chakraborti A, et al. Opinion formation in kinetic exchange models: Spontaneous symmetry-breaking transition[J].Physical Review E, 2010, 82(5): 056112. [40] Gandica Y, del Castillo-Mussot M, Vázquez G J, et al. Continuous opinion model in small-world directed networks[J].Physica A: Statistical Mechanics and its Applications, 2010, 389(24): 5864-5870. [41] Stauffer D, Solomon S. Applications of physics and mathematics to social science[J].Journal of Applied Physics,2008,9(2):67. [42] Toral R, Tessone C J. Finite size effects in the dynamics of opinion formation[J].Communications in Computational Physics,2007,2(2):177-195. [43] Albert R, Barabási A L. Statistical mechanics of complex networks[J].Reviews of modern physics, 2002, 74(1): 47. [44] Newman M E J. The structure and function of complex networks[J].SIAM review, 2003, 45(2): 167-256. [45] Boccaletti S, Latora V, Moreno Y, et al. Complex networks: structure and dynamics[J].Physics Reports, 2006, 424(4): 175-308. [46] Jalili M. Social power and opinion formation in complex networks[J].Physica A: Statistical Mechanics and its Applications, 2013, 392(4): 959-966. [47] Guo L, Gu J, Luo Z. How much information is needed to be the majority during the binary-state opinion formation?[J].Physica A: Statistical Mechanics and its Applications, 2013, 392(19): 4373-4379. [48] Guo L, Cai X. Continuous opinion dynamics in complex networks[J].Com Computational Physics, 2009, 5: 1045-1053. [49] Yang H X, Wu Z X, Zhou C, et al. Effects of social diversity on the emergence of global consensus in opiniondynamics[J].Physical Review E, 2009, 80(4): 046108. [50] Yang H X, Wang B H. Effects of social diversity on the evolutionary game and opiniondynamics[J].Physics Procedia, 2010, 3(5): 1859-1865. [51] Kandiah V, Shepelyansky D L. PageRank model of opinion formation on social networks[J].Physica A: Statistical Mechanics and its Applications, 2012, 391(22): 5779-5793. [52] Murase Y, Török J, Jo H H, et al. Multilayer weighted social network model[J].Physical Review E, 2014, 90(5): 052810. [53] Guan J Y, Wu Z X, Wang Y H. Effects of inhomogeneous influence of individuals on an order-disorder transition in opiniondynamics[J].Physical Review E, 2007, 76(4): 042102. [54] Boccaletti S, Bianconi G, Criado R, et al. The structure and dynamics of multilayer networks[J].Physics Reports, 2014, 544(1): 1-122. [55] Zhou T, Han X, Yan X, et al. Statisitcal mechanics on temporal and spatial activities of human (in Chinese)[J].Journal of University of Electronic Science and Technology of China,2013, 42: 481. [56] Kozma B, Barrat A. Consensus formation on adaptive networks[J].Physical Review E, 2008, 77(1): 016102. [57] Guo L, Cai X. Emergence of community structure in the adaptive social networks[J].Communications in Computational Physics, 2010, 8(4): 835. [58] Moinet A, Starnini M, Pastor-Satorras R. Burstiness and aging in social temporal networks[J].Physical review letters, 2015, 114(10): 108701. [59] Guo L, Cheng Y, Luo Z. Opinion dynamics with the contrarian deterministic effect and human mobility on lattice[J].Complexity, 2015, 20(5): 43-49.