-
1
-
-
77951126500
-
Catastrophic cascade of failures in interdependent networks
-
S.V. Buldyrev, R. Parshani, G. Paul, H.E. Stanley, and S. Havlin Catastrophic cascade of failures in interdependent networks Nature 464 2010 1025 1028
-
(2010)
Nature
, vol.464
, pp. 1025-1028
-
-
Buldyrev, S.V.1
Parshani, R.2
Paul, G.3
Stanley, H.E.4
Havlin, S.5
-
3
-
-
84870864408
-
Challenges of network science: applications to infrastructures, climate, social systems and economics
-
S. Havlin, D.Y. Kenett, E. Ben-Jacob, A. Bunde, H. Hermann, J. Kurths, S. Kirkpatrick, S. Solomon, and J. Portugali Challenges of network science: applications to infrastructures, climate, social systems and economics Eur J Phys Spec Topics 214 2012 273 293
-
(2012)
Eur J Phys Spec Topics
, vol.214
, pp. 273-293
-
-
Havlin, S.1
Kenett, D.Y.2
Ben-Jacob, E.3
Bunde, A.4
Hermann, H.5
Kurths, J.6
Kirkpatrick, S.7
Solomon, S.8
Portugali, J.9
-
4
-
-
84875859441
-
Globally networked risks and how to respond
-
D. Helbing Globally networked risks and how to respond Nature 497 2013 51 59
-
(2013)
Nature
, vol.497
, pp. 51-59
-
-
Helbing, D.1
-
5
-
-
84942256852
-
Multilayer networks
-
M. Kivelä, A. Arenas, M. Barthelemy, J.P. Gleeson, Y. Moreno, and M.A. Porter Multilayer networks J Complex Netw 2 2014 203 271
-
(2014)
J Complex Netw
, vol.2
, pp. 203-271
-
-
Kivelä, M.1
Arenas, A.2
Barthelemy, M.3
Gleeson, J.P.4
Moreno, Y.5
Porter, M.A.6
-
6
-
-
84909980102
-
The structure and dynamics of multilayer networks
-
S. Boccaletti, G. Bianconi, R. Criado, C. Del Genio, J. Gómez-Gardeñes, M. Romance, I. Sendiña-Nadal, Z. Wang, and M. Zanin The structure and dynamics of multilayer networks Phys Rep 544 2014 1 122
-
(2014)
Phys Rep
, vol.544
, pp. 1-122
-
-
Boccaletti, S.1
Bianconi, G.2
Criado, R.3
Del Genio, C.4
Gómez-Gardeñes, J.5
Romance, M.6
Sendiña-Nadal, I.7
Wang, Z.8
Zanin, M.9
-
7
-
-
84897724545
-
Network of interdependent networks: overview of theory and applications
-
Springer
-
D.Y. Kenett, J. Gao, X. Huang, S. Shao, I. Vodenska, S.V. Buldyrev, G. Paul, H.E. Stanley, and S. Havlin Network of interdependent networks: overview of theory and applications Networks of networks: the last frontier of complexity 2014 Springer 3 36
-
(2014)
Networks of networks: the last frontier of complexity
, pp. 3-36
-
-
Kenett, D.Y.1
Gao, J.2
Huang, X.3
Shao, S.4
Vodenska, I.5
Buldyrev, S.V.6
Paul, G.7
Stanley, H.E.8
Havlin, S.9
-
8
-
-
77954948123
-
Interdependent networks: reducing the coupling strength leads to a change from a first to second order percolation transition
-
R. Parshani, S.V. Buldyrev, and S. Havlin Interdependent networks: reducing the coupling strength leads to a change from a first to second order percolation transition Phys Rev Lett 105 2010 048701
-
(2010)
Phys Rev Lett
, vol.105
, pp. 048701
-
-
Parshani, R.1
Buldyrev, S.V.2
Havlin, S.3
-
11
-
-
79961074393
-
Percolation in networks composed of connectivity and dependency links
-
A. Bashan, R. Parshani, and S. Havlin Percolation in networks composed of connectivity and dependency links Phys Rev E 83 2011 051127
-
(2011)
Phys Rev E
, vol.83
, pp. 051127
-
-
Bashan, A.1
Parshani, R.2
Havlin, S.3
-
12
-
-
84885431092
-
The extreme vulnerability of interdependent spatially embedded networks
-
A. Bashan, Y. Berezin, S.V. Buldyrev, and S. Havlin The extreme vulnerability of interdependent spatially embedded networks Nat Phys 9 2013 667 672
-
(2013)
Nat Phys
, vol.9
, pp. 667-672
-
-
Bashan, A.1
Berezin, Y.2
Buldyrev, S.V.3
Havlin, S.4
-
13
-
-
84926371687
-
From a single network to a network of networks
-
J. Gao, D. Li, and S. Havlin From a single network to a network of networks Natl Sci Rev 1 2014 346 356
-
(2014)
Natl Sci Rev
, vol.1
, pp. 346-356
-
-
Gao, J.1
Li, D.2
Havlin, S.3
-
14
-
-
84923357529
-
Percolation of interdependent network of networks
-
S. Havlin, H.E. Stanley, A. Bashan, J. Gao, and D.Y. Kenett Percolation of interdependent network of networks Chaos Solitons Fract 72 2015 4 19
-
(2015)
Chaos Solitons Fract
, vol.72
, pp. 4-19
-
-
Havlin, S.1
Stanley, H.E.2
Bashan, A.3
Gao, J.4
Kenett, D.Y.5
-
15
-
-
84920274073
-
Vulnerability of network of networks
-
S. Havlin, D. Kenett, A. Bashan, J. Gao, and H. Stanley Vulnerability of network of networks Eur Phys J Spec Topics 223 2014 2087 2106
-
(2014)
Eur Phys J Spec Topics
, vol.223
, pp. 2087-2106
-
-
Havlin, S.1
Kenett, D.2
Bashan, A.3
Gao, J.4
Stanley, H.5
-
16
-
-
84904202315
-
Simultaneous first-and second-order percolation transitions in interdependent networks
-
D. Zhou, A. Bashan, R. Cohen, Y. Berezin, N. Shnerb, and S. Havlin Simultaneous first-and second-order percolation transitions in interdependent networks Phys Rev E 90 2014 012803
-
(2014)
Phys Rev E
, vol.90
, pp. 012803
-
-
Zhou, D.1
Bashan, A.2
Cohen, R.3
Berezin, Y.4
Shnerb, N.5
Havlin, S.6
-
17
-
-
84926306923
-
Percolation and cascade dynamics of spatial networks with partial dependency
-
cnu020
-
M.M. Danziger, A. Bashan, Y. Berezin, and S. Havlin Percolation and cascade dynamics of spatial networks with partial dependency J. Complex Netw. 2 2014 cnu020
-
(2014)
J. Complex Netw.
, vol.2
-
-
Danziger, M.M.1
Bashan, A.2
Berezin, Y.3
Havlin, S.4
-
18
-
-
84878478410
-
Percolation of partially interdependent scale-free networks
-
D. Zhou, J. Gao, H.E. Stanley, and S. Havlin Percolation of partially interdependent scale-free networks Phys Rev E 87 2013 052812
-
(2013)
Phys Rev E
, vol.87
, pp. 052812
-
-
Zhou, D.1
Gao, J.2
Stanley, H.E.3
Havlin, S.4
-
19
-
-
84863306747
-
Robustness of a network formed by n interdependent networks with a one-to-one correspondence of dependent nodes
-
J. Gao, S. Buldyrev, S. Havlin, and H. Stanley Robustness of a network formed by n interdependent networks with a one-to-one correspondence of dependent nodes Phys Rev E 85 2012 066134
-
(2012)
Phys Rev E
, vol.85
, pp. 066134
-
-
Gao, J.1
Buldyrev, S.2
Havlin, S.3
Stanley, H.4
-
20
-
-
84861803957
-
Cascading failures in interdependent lattice networks: the critical role of the length of dependency links
-
W. Li, A. Bashan, S.V. Buldyrev, H.E. Stanley, and S. Havlin Cascading failures in interdependent lattice networks: the critical role of the length of dependency links Phys Rev Lett 108 2012 228702
-
(2012)
Phys Rev Lett
, vol.108
, pp. 228702
-
-
Li, W.1
Bashan, A.2
Buldyrev, S.V.3
Stanley, H.E.4
Havlin, S.5
-
21
-
-
31344474880
-
Complex networks: structure and dynamics
-
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. Hwang Complex networks: structure and dynamics Phys Rep 424 2006 175 308
-
(2006)
Phys Rep
, vol.424
, pp. 175-308
-
-
Boccaletti, S.1
Latora, V.2
Moreno, Y.3
Chavez, M.4
Hwang, D.5
-
22
-
-
56549084695
-
Synchronization in complex networks
-
A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou Synchronization in complex networks Phys Rep 469 2008 93 153
-
(2008)
Phys Rep
, vol.469
, pp. 93-153
-
-
Arenas, A.1
Díaz-Guilera, A.2
Kurths, J.3
Moreno, Y.4
Zhou, C.5
-
23
-
-
34250617077
-
Evolutionary games on graphs
-
G. Szabó, and G. Fáth Evolutionary games on graphs Phys Rep 446 2007 97 216
-
(2007)
Phys Rep
, vol.446
, pp. 97-216
-
-
Szabó, G.1
Fáth, G.2
-
24
-
-
73449112588
-
Coevolutionary games - a mini review
-
M. Perc, and A. Szolnoki Coevolutionary games - a mini review BioSystems 99 2010 109 125
-
(2010)
BioSystems
, vol.99
, pp. 109-125
-
-
Perc, M.1
Szolnoki, A.2
-
25
-
-
84876137675
-
Evolutionary dynamics of group interactions on structured populations: a review
-
M. Perc, J. Gómez-Gardeñes, A. Szolnoki, L.M. Floría, and Y. Moreno Evolutionary dynamics of group interactions on structured populations: a review J R Soc Interface 10 2013 20120997
-
(2013)
J R Soc Interface
, vol.10
, pp. 20120997
-
-
Perc, M.1
Gómez-Gardeñes, J.2
Szolnoki, A.3
Floría, L.M.4
Moreno, Y.5
-
26
-
-
84908153021
-
Cyclic dominance in evolutionary games: a review
-
A. Szolnoki, M. Mobilia, L.-L. Jiang, B. Szczesny, A.M. Rucklidge, and M. Perc Cyclic dominance in evolutionary games: a review J R Soc Interface 11 2014 20140735
-
(2014)
J R Soc Interface
, vol.11
, pp. 20140735
-
-
Szolnoki, A.1
Mobilia, M.2
Jiang, L.-L.3
Szczesny, B.4
Rucklidge, A.M.5
Perc, M.6
-
27
-
-
84912520991
-
Climate change governance, cooperation and self-organization
-
J.M. Pacheco, V.V. Vasconcelos, and F.C. Santos Climate change governance, cooperation and self-organization Phys Life Rev 11 2014 573 586
-
(2014)
Phys Life Rev
, vol.11
, pp. 573-586
-
-
Pacheco, J.M.1
Vasconcelos, V.V.2
Santos, F.C.3
-
28
-
-
84925247358
-
Statistical physics of crime: a review
-
M.R. D'Orsogna, and M. Perc Statistical physics of crime: a review Phys Life Rev 12 2015 1 21
-
(2015)
Phys Life Rev
, vol.12
, pp. 1-21
-
-
D'Orsogna, M.R.1
Perc, M.2
-
29
-
-
0026613691
-
Evolutionary games and spatial chaos
-
M.A. Nowak, and R.M. May Evolutionary games and spatial chaos Nature 359 1992 826 829
-
(1992)
Nature
, vol.359
, pp. 826-829
-
-
Nowak, M.A.1
May, R.M.2
-
30
-
-
70350566803
-
Evolutionary game theory: temporal and spatial effects beyond replicator dynamics
-
C.P. Roca, J.A. Cuesta, and A. Sánchez Evolutionary game theory: temporal and spatial effects beyond replicator dynamics Phys Life Rev 6 2009 208 249
-
(2009)
Phys Life Rev
, vol.6
, pp. 208-249
-
-
Roca, C.P.1
Cuesta, J.A.2
Sánchez, A.3
-
31
-
-
84880360147
-
Collective behavior and evolutionary games - an introduction
-
M. Perc, and P. Grigolini Collective behavior and evolutionary games - an introduction Chaos Solitons Fract 56 2013 1 5
-
(2013)
Chaos Solitons Fract
, vol.56
, pp. 1-5
-
-
Perc, M.1
Grigolini, P.2
-
32
-
-
0035276787
-
Social games in a social network
-
R
-
G. Abramson, and M. Kuperman Social games in a social network Phys Rev E 63 2001 030901(R)
-
(2001)
Phys Rev E
, vol.63
, pp. 030901
-
-
Abramson, G.1
Kuperman, M.2
-
33
-
-
84925548711
-
Phase transitions and volunteering in spatial public goods games
-
G. Szabó, and C. Hauert Phase transitions and volunteering in spatial public goods games Phys Rev Lett 89 2002 118101
-
(2002)
Phys Rev Lett
, vol.89
, pp. 118101
-
-
Szabó, G.1
Hauert, C.2
-
34
-
-
42749101868
-
Coevolution of dynamical states and interactions in dynamic networks
-
R
-
M.G. Zimmermann, V. Eguíluz, and M.S. Miguel Coevolution of dynamical states and interactions in dynamic networks Phys Rev E 69 2004 065102(R)
-
(2004)
Phys Rev E
, vol.69
, pp. 065102
-
-
Zimmermann, M.G.1
Eguíluz, V.2
Miguel, M.S.3
-
35
-
-
27144476443
-
Scale-free networks provide a unifying framework for the emergence of cooperation
-
F.C. Santos, and J.M. Pacheco Scale-free networks provide a unifying framework for the emergence of cooperation Phys Rev Lett 95 2005 098104
-
(2005)
Phys Rev Lett
, vol.95
, pp. 098104
-
-
Santos, F.C.1
Pacheco, J.M.2
-
36
-
-
33845648428
-
Coevolution of strategy and structure in complex networks with dynamical linking
-
J.M. Pacheco, A. Traulsen, and M.A. Nowak Coevolution of strategy and structure in complex networks with dynamical linking Phys Rev Lett 97 2006 258103
-
(2006)
Phys Rev Lett
, vol.97
, pp. 258103
-
-
Pacheco, J.M.1
Traulsen, A.2
Nowak, M.A.3
-
37
-
-
33947122212
-
Breaking the symmetry between interaction and replacement in evolutionary dynamics on graphs
-
H. Ohtsuki, M.A. Nowak, and J.M. Pacheco Breaking the symmetry between interaction and replacement in evolutionary dynamics on graphs Phys Rev Lett 98 2007 108106
-
(2007)
Phys Rev Lett
, vol.98
, pp. 108106
-
-
Ohtsuki, H.1
Nowak, M.A.2
Pacheco, J.M.3
-
39
-
-
78651450829
-
Emergent hierarchical structures in multiadaptive games
-
S. Lee, P. Holme, and Z.-X. Wu Emergent hierarchical structures in multiadaptive games Phys Rev Lett 106 2011 028702
-
(2011)
Phys Rev Lett
, vol.106
, pp. 028702
-
-
Lee, S.1
Holme, P.2
Wu, Z.-X.3
-
40
-
-
79960968355
-
Evolutionary games defined at the network mesoscale: the public goods game
-
J. Gómez-Gardeñes, M. Romance, R. Criado, D. Vilone, and A. Sánchez Evolutionary games defined at the network mesoscale: the public goods game Chaos 21 2011 016113
-
(2011)
Chaos
, vol.21
, pp. 016113
-
-
Gómez-Gardeñes, J.1
Romance, M.2
Criado, R.3
Vilone, D.4
Sánchez, A.5
-
41
-
-
84865270322
-
Defense mechanisms of empathetic players in the spatial ultimatum game
-
A. Szolnoki, M. Perc, and G. Szabó Defense mechanisms of empathetic players in the spatial ultimatum game Phys Rev Lett 109 2012 078701
-
(2012)
Phys Rev Lett
, vol.109
, pp. 078701
-
-
Szolnoki, A.1
Perc, M.2
Szabó, G.3
-
42
-
-
84868315986
-
Metastability and anomalous fixation in evolutionary games on scale-free networks
-
M. Assaf, and M. Mobilia Metastability and anomalous fixation in evolutionary games on scale-free networks Phys Rev Lett 109 2012 188701
-
(2012)
Phys Rev Lett
, vol.109
, pp. 188701
-
-
Assaf, M.1
Mobilia, M.2
-
43
-
-
84893672575
-
Correlation of positive and negative reciprocity fails to confer an evolutionary advantage: phase transitions to elementary strategies
-
A. Szolnoki, and M. Perc Correlation of positive and negative reciprocity fails to confer an evolutionary advantage: phase transitions to elementary strategies Phys Rev X 3 2013 041021
-
(2013)
Phys Rev X
, vol.3
, pp. 041021
-
-
Szolnoki, A.1
Perc, M.2
-
44
-
-
84859012422
-
Network reciprocity by coexisting learning and teaching strategies
-
J. Tanimoto, M. Brede, and A. Yamauchi Network reciprocity by coexisting learning and teaching strategies Phys Rev E 85 2012 032101
-
(2012)
Phys Rev E
, vol.85
, pp. 032101
-
-
Tanimoto, J.1
Brede, M.2
Yamauchi, A.3
-
45
-
-
84879814761
-
Difference of reciprocity effect in two coevolutionary models of presumed two-player and multiplayer games
-
J. Tanimoto Difference of reciprocity effect in two coevolutionary models of presumed two-player and multiplayer games Phys Rev E 87 2013 062136
-
(2013)
Phys Rev E
, vol.87
, pp. 062136
-
-
Tanimoto, J.1
-
46
-
-
33644751686
-
Evolutionary dynamics of social dilemmas in structured heterogeneous populations
-
F.C. Santos, J.M. Pacheco, and T. Lenaerts Evolutionary dynamics of social dilemmas in structured heterogeneous populations Proc Natl Acad Sci USA 103 2006 3490 3494
-
(2006)
Proc Natl Acad Sci USA
, vol.103
, pp. 3490-3494
-
-
Santos, F.C.1
Pacheco, J.M.2
Lenaerts, T.3
-
49
-
-
82755198505
-
Dynamic social networks promote cooperation in experiments with humans
-
D.G. Rand, S. Arbesman, and N.A. Christakis Dynamic social networks promote cooperation in experiments with humans Proc Natl Acad Sci USA 108 2011 19193 19198
-
(2011)
Proc Natl Acad Sci USA
, vol.108
, pp. 19193-19198
-
-
Rand, D.G.1
Arbesman, S.2
Christakis, N.A.3
-
50
-
-
84883180371
-
Optimal interdependence between networks for the evolution of cooperation
-
Z. Wang, A. Szolnoki, and M. Perc Optimal interdependence between networks for the evolution of cooperation Sci Rep 3 2013 2470
-
(2013)
Sci Rep
, vol.3
, pp. 2470
-
-
Wang, Z.1
Szolnoki, A.2
Perc, M.3
-
51
-
-
84863116078
-
Evolution of public cooperation on interdependent networks: the impact of biased utility functions
-
Z. Wang, A. Szolnoki, and M. Perc Evolution of public cooperation on interdependent networks: the impact of biased utility functions EPL 97 2012 48001
-
(2012)
EPL
, vol.97
, pp. 48001
-
-
Wang, Z.1
Szolnoki, A.2
Perc, M.3
-
54
-
-
84870260190
-
Probabilistic interconnection between interdependent networks promotes cooperation in the public goods game
-
B. Wang, X. Chen, and L. Wang Probabilistic interconnection between interdependent networks promotes cooperation in the public goods game J Stat Mech 2012 2012 P11017
-
(2012)
J Stat Mech
, vol.2012
-
-
Wang, B.1
Chen, X.2
Wang, L.3
-
55
-
-
84873674447
-
Interdependent network reciprocity in evolutionary games
-
Z. Wang, A. Szolnoki, and M. Perc Interdependent network reciprocity in evolutionary games Sci Rep 3 2013 1183
-
(2013)
Sci Rep
, vol.3
, pp. 1183
-
-
Wang, Z.1
Szolnoki, A.2
Perc, M.3
-
56
-
-
84883151986
-
Spreading of cooperative behaviour across interdependent groups
-
L.-L. Jiang, and M. Perc Spreading of cooperative behaviour across interdependent groups Sci Rep 3 2013 2483
-
(2013)
Sci Rep
, vol.3
, pp. 2483
-
-
Jiang, L.-L.1
Perc, M.2
-
57
-
-
84878227029
-
Information sharing promotes prosocial behaviour
-
A. Szolnoki, and M. Perc Information sharing promotes prosocial behaviour New J Phys 15 2013 053010
-
(2013)
New J Phys
, vol.15
, pp. 053010
-
-
Szolnoki, A.1
Perc, M.2
-
58
-
-
84894031887
-
Rewarding evolutionary fitness with links between populations promotes cooperation
-
Z. Wang, A. Szolnoki, and M. Perc Rewarding evolutionary fitness with links between populations promotes cooperation J Theor Biol 349 2014 50 56
-
(2014)
J Theor Biol
, vol.349
, pp. 50-56
-
-
Wang, Z.1
Szolnoki, A.2
Perc, M.3
-
59
-
-
84897997302
-
Self-organization towards optimally interdependent networks by means of coevolution
-
Z. Wang, A. Szolnoki, and M. Perc Self-organization towards optimally interdependent networks by means of coevolution New J Phys 16 2014 033041
-
(2014)
New J Phys
, vol.16
, pp. 033041
-
-
Wang, Z.1
Szolnoki, A.2
Perc, M.3
-
60
-
-
84901981294
-
Degree mixing in multilayer networks impedes the evolution of cooperation
-
Z. Wang, L. Wang, and M. Perc Degree mixing in multilayer networks impedes the evolution of cooperation Phys Rev E 89 2014 052813
-
(2014)
Phys Rev E
, vol.89
, pp. 052813
-
-
Wang, Z.1
Wang, L.2
Perc, M.3
-
61
-
-
84896307828
-
Spontaneous recovery in dynamical networks
-
A. Majdandzic, B. Podobnik, S.V. Buldyrev, D.Y. Kenett, S. Havlin, and H.E. Stanley Spontaneous recovery in dynamical networks Nat Phys 10 2014 34 38
-
(2014)
Nat Phys
, vol.10
, pp. 34-38
-
-
Majdandzic, A.1
Podobnik, B.2
Buldyrev, S.V.3
Kenett, D.Y.4
Havlin, S.5
Stanley, H.E.6
-
62
-
-
84899708842
-
Network risk and forecasting power in phase-flipping dynamical networks
-
B. Podobnik, A. Majdandzic, C. Curme, Z. Qiao, W.-X. Zhou, H. Stanley, and B. Li Network risk and forecasting power in phase-flipping dynamical networks Phys Rev E 89 2014 042807
-
(2014)
Phys Rev E
, vol.89
, pp. 042807
-
-
Podobnik, B.1
Majdandzic, A.2
Curme, C.3
Qiao, Z.4
Zhou, W.-X.5
Stanley, H.6
Li, B.7
|