-
2
-
-
56549085272
-
Critical phenomena in complex networks
-
Dorogovtsev, S. N., Goltsev, A. V. & Mendes, J. F. F. Critical phenomena in complex networks. Rev. Mod. Phys. 80, 1275-1335 (2008).
-
(2008)
Rev. Mod. Phys.
, vol.80
, pp. 1275-1335
-
-
Dorogovtsev, S.N.1
Goltsev, A.V.2
Mendes, J.F.F.3
-
3
-
-
77951126500
-
Catastrophic cascade of failures in interdependent networks
-
Buldyrev, S. V., Parshani, R., Paul, G., Stanley, H. E. & Havlin, S. Catastrophic cascade of failures in interdependent networks. Nature 464, 1025-1028 (2010).
-
(2010)
Nature
, vol.464
, pp. 1025-1028
-
-
Buldyrev, S.V.1
Parshani, R.2
Paul, G.3
Stanley, H.E.4
Havlin, S.5
-
4
-
-
0034721164
-
Error and attack tolerance of complex networks
-
Albert, R., Jeong, H. & Barabási, A.-L. Error and attack tolerance of complex networks. Nature 406, 378-382 (2000).
-
(2000)
Nature
, vol.406
, pp. 378-382
-
-
Albert, R.1
Jeong, H.2
Barabási, A.-L.3
-
5
-
-
0034323311
-
Resilience of the internet to random breakdowns
-
Cohen, R., Erez, K., ben-Avraham, D. & Havlin, S. Resilience of the internet to random breakdowns. Phys. Rev. Lett. 85, 4626-4628 (2000).
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 4626-4628
-
-
Cohen, R.1
Erez, K.2
Ben-Avraham, D.3
Havlin, S.4
-
6
-
-
0037197979
-
A simple model of global cascades on random networks
-
Watts, D. J. A simple model of global cascades on random networks. Proc. Natl Acad. Sci. USA 99, 5766-5771 (2002).
-
(2002)
Proc. Natl Acad. Sci. USA
, vol.99
, pp. 5766-5771
-
-
Watts, D.J.1
-
7
-
-
84861803957
-
Cascading failures in interdependent lattice networks: The critical role of the length of dependency links
-
Li, W., Bashan, A., Buldyrev, S., Stanley, H. E. & Havlin, S. Cascading failures in interdependent lattice networks: the critical role of the length of dependency links. Phys. Rev. Lett. 108, 228702 (2012).
-
(2012)
Phys. Rev. Lett.
, vol.108
, pp. 228702
-
-
Li, W.1
Bashan, A.2
Buldyrev, S.3
Stanley, H.E.4
Havlin, S.5
-
8
-
-
0035794256
-
Epidemic spreading in scale-free networks
-
Pastor-Satorras, R. & Vespignani, A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86, 3200-3203 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 3200-3203
-
-
Pastor-Satorras, R.1
Vespignani, A.2
-
9
-
-
78149283685
-
Identification of influential spreaders in complex networks
-
Kitsak, M. et al. Identification of influential spreaders in complex networks. Nat. Phys. 6, 888-893 (2010).
-
(2010)
Nat. Phys.
, vol.6
, pp. 888-893
-
-
Kitsak, M.1
-
10
-
-
79961179436
-
High-accuracy approximation of binary-state dynamics on networks
-
Gleeson, J. P. High-accuracy approximation of binary-state dynamics on networks. Phys. Rev. Lett. 107, 068701 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.107
, pp. 068701
-
-
Gleeson, J.P.1
-
11
-
-
79955879494
-
Controllability of complex networks
-
Liu, Y.-Y., Slotine, J.-J. & Barabási, A.-L. Controllability of complex networks. Nature 473, 167-173 (2011).
-
(2011)
Nature
, vol.473
, pp. 167-173
-
-
Liu, Y.-Y.1
Slotine, J.-J.2
Barabási, A.-L.3
-
12
-
-
84869030626
-
Core percolation on complex networks
-
Liu, Y.-Y., Csóka, E., Zhou, H. J. & Pósfai, M. Core percolation on complex networks. Phys. Rev. Lett. 109, 205703 (2012).
-
(2012)
Phys. Rev. Lett.
, vol.109
, pp. 205703
-
-
Liu, Y.-Y.1
Csóka, E.2
Zhou, H.J.3
Pósfai, M.4
-
14
-
-
4243939794
-
Network robustness and fragility: Percolation on random graphs
-
Callaway, D. S., Newman, M. E. J., Strogatz, S. H. & Watts, D. J. Network robustness and fragility: Percolation on random graphs. Phys. Rev. Lett. 85, 5468-5471 (2000).
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 5468-5471
-
-
Callaway, D.S.1
Newman, M.E.J.2
Strogatz, S.H.3
Watts, D.J.4
-
15
-
-
11944253901
-
-
2nd edn (Cambridge University Press)
-
Bollobás, B. Random Graphs 2nd edn (Cambridge University Press, 2001).
-
(2001)
Random Graphs
-
-
Bollobás, B.1
-
16
-
-
62449178107
-
Explosive percolation in random networks
-
Achlioptas, D., D'Souza, R. M. & Spencer, J. Explosive percolation in random networks. Science 323, 1453-1455 (2009).
-
(2009)
Science
, vol.323
, pp. 1453-1455
-
-
Achlioptas, D.1
D'Souza, R.M.2
Spencer, J.3
-
17
-
-
79960517845
-
Explosive percolation is continuous
-
Riordan, O. & Warnke, L. Explosive percolation is continuous. Science 333, 322-324 (2011).
-
(2011)
Science
, vol.333
, pp. 322-324
-
-
Riordan, O.1
Warnke, L.2
-
18
-
-
79952448113
-
Impact of single links in competitive percolation
-
Nagler, J., Levina, A. & Timme, M. Impact of single links in competitive percolation. Nat. Phys. 7, 265-270 (2011).
-
(2011)
Nat. Phys.
, vol.7
, pp. 265-270
-
-
Nagler, J.1
Levina, A.2
Timme, M.3
-
19
-
-
84868296724
-
Continuous percolation with discontinuities
-
Nagler, J., Tiessen, T. & Gutch, H. W. Continuous percolation with discontinuities. Phys. Rev. X 2, 031009 (2012).
-
(2012)
Phys. Rev. X
, vol.2
, pp. 031009
-
-
Nagler, J.1
Tiessen, T.2
Gutch, H.W.3
-
20
-
-
84860313558
-
Ordinary percolation with discontinuous transitions
-
Boettcher, S., Singh, V. & Ziff, R. M. Ordinary percolation with discontinuous transitions. Nat. Commun. 3, 787 (2012).
-
(2012)
Nat. Commun.
, vol.3
, pp. 787
-
-
Boettcher, S.1
Singh, V.2
Ziff, R.M.3
-
21
-
-
84874676060
-
Avoiding a spanning cluster in percolation models
-
Cho, Y. S., Hwang, S., Herrmann, H. J. & Kahng, B. Avoiding a spanning cluster in percolation models. Science 339, 1185-1187 (2013).
-
(2013)
Science
, vol.339
, pp. 1185-1187
-
-
Cho, Y.S.1
Hwang, S.2
Herrmann, H.J.3
Kahng, B.4
-
22
-
-
0002092533
-
Bootstrap percolation on a bethe lattice
-
Chalupa, J., Leath, P. L. & Reich, G. R. Bootstrap percolation on a bethe lattice. J. Phys. C: Solid State Phys. 12, L31-L35 (1979).
-
(1979)
J. Phys. C: Solid State Phys.
, vol.12
, pp. L31-L35
-
-
Chalupa, J.1
Leath, P.L.2
Reich, G.R.3
-
23
-
-
0030144334
-
Sudden emergence of a giant k-core in a random graph
-
Pittel, B., Spencer, J. & Wormald, N. Sudden emergence of a giant k-core in a random graph. J. Combin. Theory B 67, 111-151 (1996).
-
(1996)
J. Combin. Theory B
, vol.67
, pp. 111-151
-
-
Pittel, B.1
Spencer, J.2
Wormald, N.3
-
24
-
-
33144463206
-
K-core organization of complex networks
-
Dorogovtsev, S. N., Goltsev, A. V. & Mendes, J. F. F. k-core organization of complex networks. Phys. Rev. Lett. 96, 040601 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 040601
-
-
Dorogovtsev, S.N.1
Goltsev, A.V.2
Mendes, J.F.F.3
-
25
-
-
77954327275
-
Bootstrap percolation on complex networks
-
Baxter, G. J., Dorogovtsev, S. N., Goltsev, A. V. & Mendes, J. F. F. Bootstrap percolation on complex networks. Phys. Rev. E 82, 011103 (2010).
-
(2010)
Phys. Rev. E
, vol.82
, pp. 011103
-
-
Baxter, G.J.1
Dorogovtsev, S.N.2
Goltsev, A.V.3
Mendes, J.F.F.4
-
27
-
-
0001327869
-
Core percolation in random graphs: A critical phenomena analysis
-
Bauer, M. & Golinelli, O. Core percolation in random graphs: a critical phenomena analysis. Eur. Phys. J. B 24, 339-352 (2001).
-
(2001)
Eur. Phys. J. B
, vol.24
, pp. 339-352
-
-
Bauer, M.1
Golinelli, O.2
-
28
-
-
37649031218
-
The random k-satisfiability problem: From an analytic solution to an efficient algorithm
-
Mézard, M. & Zecchina, R. The random k-satisfiability problem: from an analytic solution to an efficient algorithm. Phys. Rev. E 66, 056126 (2002).
-
(2002)
Phys. Rev. E
, vol.66
, pp. 056126
-
-
Mézard, M.1
Zecchina, R.2
-
31
-
-
63149124783
-
From one solution of a 3-satisfiability formula to a solution cluster: Frozen variables and entropy
-
Li, K., Ma, H. & Zhou, H. J. From one solution of a 3-satisfiability formula to a solution cluster: frozen variables and entropy. Phys. Rev. E 79, 031102 (2009).
-
(2009)
Phys. Rev. E
, vol.79
, pp. 031102
-
-
Li, K.1
Ma, H.2
Zhou, H.J.3
-
32
-
-
0041871837
-
Glassy dynamics of kinetically constrained models
-
Ritort, F. & Sollich, P. Glassy dynamics of kinetically constrained models. Adv. Phys. 52, 219-342 (2003).
-
(2003)
Adv. Phys.
, vol.52
, pp. 219-342
-
-
Ritort, F.1
Sollich, P.2
-
33
-
-
84858683899
-
Suppressing cascades of load in interdependent networks
-
Brummitt, C. D., D'Souza, R. M. & Leicht, E. A. Suppressing cascades of load in interdependent networks. Proc. Natl Acad. Sci. USA 109, E680-E689 (2012).
-
(2012)
Proc. Natl Acad. Sci. USA
, vol.109
, pp. E680-E689
-
-
Brummitt, C.D.1
D'Souza, R.M.2
Leicht, E.A.3
-
34
-
-
0035420732
-
Random graphs with arbitrary degree distributions and their applications
-
Newman, M. E. J., Strogatz, S. H. & Watts, D. J. Random graphs with arbitrary degree distributions and their applications. Phys. Rev. E 64, 026118 (2001).
-
(2001)
Phys. Rev. E
, vol.64
, pp. 026118
-
-
Newman, M.E.J.1
Strogatz, S.H.2
Watts, D.J.3
-
35
-
-
84990671447
-
A critical point for random graphs with a given degree sequence. Random struct
-
Molloy, M. & Reed, B. A critical point for random graphs with a given degree sequence. Random Struct. Random Struct. Algorithms 6, 161-180 (1995).
-
(1995)
Random Struct. Algorithms
, vol.6
, pp. 161-180
-
-
Molloy, M.1
Reed, B.2
-
37
-
-
21244448624
-
Long-range frustration in a spin-glass model of the vertex-cover problem
-
Zhou, H.-J. Long-range frustration in a spin-glass model of the vertex-cover problem. Phys. Rev. Lett 94, 217203 (2005).
-
(2005)
Phys. Rev. Lett
, vol.94
, pp. 217203
-
-
Zhou, H.-J.1
-
38
-
-
21244448624
-
Erratum: Long-range frustration in a spin-glass model of the vertex-cover problem
-
Zhou, H.-J. Erratum: Long-range frustration in a spin-glass model of the vertex-cover problem Phys. Rev. Lett. 94, 217203 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 217203
-
-
Zhou, H.-J.1
-
39
-
-
84955277559
-
-
Phys. Rev. Lett 109, 199901 (2012).
-
(2012)
Phys. Rev. Lett
, vol.109
, pp. 199901
-
-
-
40
-
-
0036013593
-
Statistical mechanics of complex networks
-
Albert, R. & Barabási, A.-L. Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47-97 (2002).
-
(2002)
Rev. Mod. Phys.
, vol.74
, pp. 47-97
-
-
Albert, R.1
Barabási, A.-L.2
-
42
-
-
0035981014
-
Universal behavior of load distribution in scale-free networks
-
Goh, K.-I., Kahng, B. & Kim, D. Universal behavior of load distribution in scale-free networks. Phys. Rev. Lett. 87, 278701 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 278701
-
-
Goh, K.-I.1
Kahng, B.2
Kim, D.3
-
43
-
-
17744376167
-
Analytic solution of a static scale-free network model
-
Catanzaro, M. & Pastor-Satorras, R. Analytic solution of a static scale-free network model. Eur. Phys. J. B 44, 241-248 (2005).
-
(2005)
Eur. Phys. J. B
, vol.44
, pp. 241-248
-
-
Catanzaro, M.1
Pastor-Satorras, R.2
-
44
-
-
32944464815
-
Intrinsic degree-correlations in the static model of scale-free networks
-
Lee, J.-S., Goh, K.-I., Kahng, B. & Kim, D. Intrinsic degree-correlations in the static model of scale-free networks. Eur. Phys. J. B 49, 231-238 (2006).
-
(2006)
Eur. Phys. J. B
, vol.49
, pp. 231-238
-
-
Lee, J.-S.1
Goh, K.-I.2
Kahng, B.3
Kim, D.4
-
45
-
-
50849110527
-
K-core percolation in four dimensions
-
Parisi, G. & Rizzo, T. k-core percolation in four dimensions. Phys. Rev. E 78, 022101 (2008).
-
(2008)
Phys. Rev. E
, vol.78
, pp. 022101
-
-
Parisi, G.1
Rizzo, T.2
|