-
1
-
-
84922962285
-
-
(Cambridge University Press, Cambridge, UK)
-
R. Cohen and S. Havlin, Complex Networks: Structure, Robustness and Function (Cambridge University Press, Cambridge, UK, 2010).
-
(2010)
Complex Networks: Structure, Robustness and Function
-
-
Cohen, R.1
Havlin, S.2
-
2
-
-
56549085272
-
Critical phenomena in complex networks
-
S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Critical phenomena in complex networks, Rev. Mod. Phys. 80, 1275 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1275
-
(2008)
Rev. Mod. Phys.
, vol.80
, pp. 1275
-
-
Dorogovtsev, S.N.1
Goltsev, A.V.2
Mendes, J.F.F.3
-
3
-
-
84896969144
-
Coexistence of phases and the observability of random graphs
-
A. Allard, L. Hébert-Dufresne, J.-G. Young, and L. J. Dubé, Coexistence of phases and the observability of random graphs, Phys. Rev. E 89, 022801 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.89.022801
-
(2014)
Phys. Rev. E
, vol.89
, pp. 022801
-
-
Allard, A.1
Hébert-Dufresne, L.2
Young, J.-G.3
Dubé, L.J.4
-
4
-
-
84871284115
-
Network Observability Transitions
-
Y. Yang, J. Wang, and A. E. Motter, Network Observability Transitions, Phys. Rev. Lett. 109, 258701 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.258701
-
(2012)
Phys. Rev. Lett.
, vol.109
, pp. 258701
-
-
Yang, Y.1
Wang, J.2
Motter, A.E.3
-
5
-
-
84880321328
-
Global efficiency of local immunization on complex networks
-
L. Hébert-Dufresne, A. Allard, J.-G. Young, and L. J. Dubé, Global efficiency of local immunization on complex networks, Sci. Rep. 3, 2171 (2013). 10.1038/srep02171
-
(2013)
Sci. Rep.
, vol.3
, pp. 2171
-
-
Hébert-Dufresne, L.1
Allard, A.2
Young, J.-G.3
Dubé, L.J.4
-
6
-
-
34547299719
-
Contact network epidemiology: Bond percolation applied to infectious disease prediction and control
-
L. A. Meyers, Contact network epidemiology: Bond percolation applied to infectious disease prediction and control, Bull. Am. Math. Soc. 44, 63 (2007). 0273-0979 10.1090/S0273-0979-06-01148-7
-
(2007)
Bull. Am. Math. Soc.
, vol.44
, pp. 63
-
-
Meyers, L.A.1
-
8
-
-
4243939794
-
Network Robustness and Fragility: Percolation on Random Graphs
-
D. S. Callaway, M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Network Robustness and Fragility: Percolation on Random Graphs, Phys. Rev. Lett. 85, 5468 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.5468
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 5468
-
-
Callaway, D.S.1
Newman, M.E.J.2
Strogatz, S.H.3
Watts, D.J.4
-
9
-
-
0035420732
-
Random graphs with arbitrary degree distributions and their applications
-
M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Random graphs with arbitrary degree distributions and their applications, Phys. Rev. E 64, 026118 (2001). 1063-651X 10.1103/PhysRevE.64.026118
-
(2001)
Phys. Rev. E
, vol.64
, pp. 026118
-
-
Newman, M.E.J.1
Strogatz, S.H.2
Watts, D.J.3
-
10
-
-
84866554669
-
Bond percolation on a class of correlated and clustered random graphs
-
A. Allard, L. Hébert-Dufresne, P.-A. Noël, V. Marceau, and L. J. Dubé, Bond percolation on a class of correlated and clustered random graphs, J. Phys. A 45, 405005 (2012). 1751-8113 10.1088/1751-8113/45/40/405005
-
(2012)
J. Phys. A
, vol.45
, pp. 405005
-
-
Allard, A.1
Hébert-Dufresne, L.2
Noël, P.-A.3
Marceau, V.4
Dubé, L.J.5
-
11
-
-
65349134144
-
Heterogeneous bond percolation on multitype networks with an application to epidemic dynamics
-
A. Allard, P.-A. Noël, L. J. Dubé, and B. Pourbohloul, Heterogeneous bond percolation on multitype networks with an application to epidemic dynamics, Phys. Rev. E 79, 036113 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.036113
-
(2009)
Phys. Rev. E
, vol.79
, pp. 036113
-
-
Allard, A.1
Noël, P.-A.2
Dubé, L.J.3
Pourbohloul, B.4
-
12
-
-
63849226106
-
Emergence and Size of the Giant Component in Clustered Random Graphs with a Given Degree Distribution
-
Y. Berchenko, Y. Artzy-Randrup, M. Teicher, and L. Stone, Emergence and Size of the Giant Component in Clustered Random Graphs with a Given Degree Distribution, Phys. Rev. Lett. 102, 138701 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.138701
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 138701
-
-
Berchenko, Y.1
Artzy-Randrup, Y.2
Teicher, M.3
Stone, L.4
-
13
-
-
67650496966
-
Random hypergraphs and their applications
-
G. Ghoshal, V. Zlatić, G. Caldarelli, and M. E. J. Newman, Random hypergraphs and their applications, Phys. Rev. E 79, 066118 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.066118
-
(2009)
Phys. Rev. E
, vol.79
, pp. 066118
-
-
Ghoshal, G.1
Zlatić, V.2
Caldarelli, G.3
Newman, M.E.J.4
-
14
-
-
70349974267
-
Bond percolation on a class of clustered random networks
-
J. P. Gleeson, Bond percolation on a class of clustered random networks, Phys. Rev. E 80, 036107 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.036107
-
(2009)
Phys. Rev. E
, vol.80
, pp. 036107
-
-
Gleeson, J.P.1
-
15
-
-
84903552587
-
Site percolation in clustered random networks
-
A. Hackett, J. P. Gleeson, and S. Melnik, Site percolation in clustered random networks, Int. J. Comp. Syst. Sci. 1, 25 (2011).
-
(2011)
Int. J. Comp. Syst. Sci.
, vol.1
, pp. 25
-
-
Hackett, A.1
Gleeson, J.P.2
Melnik, S.3
-
16
-
-
84891703714
-
Percolation on random networks with arbitrary k-core structure
-
L. Hébert-Dufresne, A. Allard, J.-G. Young, and L. J. Dubé, Percolation on random networks with arbitrary k-core structure, Phys. Rev. E 88, 062820 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.062820
-
(2013)
Phys. Rev. E
, vol.88
, pp. 062820
-
-
Hébert-Dufresne, L.1
Allard, A.2
Young, J.-G.3
Dubé, L.J.4
-
17
-
-
78651444167
-
Random graphs containing arbitrary distributions of subgraphs
-
B. Karrer and M. E. J. Newman, Random graphs containing arbitrary distributions of subgraphs, Phys. Rev. E 82, 066118 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.066118
-
(2010)
Phys. Rev. E
, vol.82
, pp. 066118
-
-
Karrer, B.1
Newman, M.E.J.2
-
18
-
-
34848857029
-
Second look at the spread of epidemics on networks
-
E. Kenah and J. M. Robins, Second look at the spread of epidemics on networks, Phys. Rev. E 76, 036113 (2007). PLEEE8 1539-3755 10.1103/PhysRevE.76.036113
-
(2007)
Phys. Rev. E
, vol.76
, pp. 036113
-
-
Kenah, E.1
Robins, J.M.2
-
20
-
-
33646271598
-
Predicting epidemics on directed contact networks
-
L. A. Meyers, M. E. J. Newman, and B. Pourbohloul, Predicting epidemics on directed contact networks, J. Theor. Biol. 240, 400 (2006). JTBIAP 0022-5193 10.1016/j.jtbi.2005.10.004
-
(2006)
J. Theor. Biol.
, vol.240
, pp. 400
-
-
Meyers, L.A.1
Newman, M.E.J.2
Pourbohloul, B.3
-
21
-
-
77549087023
-
Percolation and epidemics in random clustered networks
-
(R)
-
J. C. Miller, Percolation and epidemics in random clustered networks, Phys. Rev. E 80, 020901 (R) (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.020901
-
(2009)
Phys. Rev. E
, vol.80
, pp. 020901
-
-
Miller, J.C.1
-
22
-
-
18744389789
-
Assortative Mixing in Networks
-
M. E. J. Newman, Assortative Mixing in Networks, Phys. Rev. Lett. 89, 208701 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.208701
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 208701
-
-
Newman, M.E.J.1
-
23
-
-
0038752085
-
Mixing patterns in networks
-
M. E. J. Newman, Mixing patterns in networks, Phys. Rev. E 67, 026126 (2003). 1063-651X 10.1103/PhysRevE.67.026126
-
(2003)
Phys. Rev. E
, vol.67
, pp. 026126
-
-
Newman, M.E.J.1
-
24
-
-
42749099621
-
Properties of highly clustered networks
-
M. E. J. Newman, Properties of highly clustered networks, Phys. Rev. E 68, 026121 (2003). 1063-651X 10.1103/PhysRevE.68.026121
-
(2003)
Phys. Rev. E
, vol.68
, pp. 026121
-
-
Newman, M.E.J.1
-
25
-
-
68649124583
-
Random Graphs with Clustering
-
M. E. J. Newman, Random Graphs with Clustering, Phys. Rev. Lett. 103, 058701 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.058701
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 058701
-
-
Newman, M.E.J.1
-
26
-
-
60949109906
-
Time evolution of epidemic disease on finite and infinite networks
-
P.-A. Noël, B. Davoudi, R. C. Brunham, L. J. Dubé, and B. Pourbohloul, Time evolution of epidemic disease on finite and infinite networks, Phys. Rev. E 79, 026101 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.026101
-
(2009)
Phys. Rev. E
, vol.79
, pp. 026101
-
-
Noël, P.-A.1
Davoudi, B.2
Brunham, R.C.3
Dubé, L.J.4
Pourbohloul, B.5
-
27
-
-
33747656394
-
Percolation and Epidemic Thresholds in Clustered Networks
-
M. Á. Serrano and M. Boguñá, Percolation and Epidemic Thresholds in Clustered Networks, Phys. Rev. Lett. 97, 088701 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.088701
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 088701
-
-
Serrano M, A.1
Boguñá, M.2
-
28
-
-
33847133113
-
Networks of strong ties
-
X. Shi, L. A. Adamic, and M. J. Strauss, Networks of strong ties, Phys. A (Amsterdam, Neth.) 378, 33 (2007). PHYADX 0378-4371 10.1016/j.physa.2006.11.072
-
(2007)
Phys. A (Amsterdam, Neth.)
, vol.378
, pp. 33
-
-
Shi, X.1
Adamic, L.A.2
Strauss, M.J.3
-
29
-
-
33845793914
-
Spreading dynamics on heterogeneous populations: Multitype network approach
-
A. Vázquez, Spreading dynamics on heterogeneous populations: Multitype network approach, Phys. Rev. E 74, 066114 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.74.066114
-
(2006)
Phys. Rev. E
, vol.74
, pp. 066114
-
-
Vázquez, A.1
-
30
-
-
0038523739
-
Resilience to damage of graphs with degree correlations
-
(R)
-
A. Vázquez and Y. Moreno, Resilience to damage of graphs with degree correlations, Phys. Rev. E 67, 015101 (R) (2003). 1063-651X 10.1103/PhysRevE.67.015101
-
(2003)
Phys. Rev. E
, vol.67
, pp. 015101
-
-
Vázquez, A.1
Moreno, Y.2
-
31
-
-
84855929316
-
Networks with arbitrary edge multiplicities
-
V. Zlatić, D. Garlaschelli, and G. Caldarelli, Networks with arbitrary edge multiplicities, Europhys. Lett. 97, 28005 (2012). EULEEJ 0295-5075 10.1209/0295-5075/97/28005
-
(2012)
Europhys. Lett.
, vol.97
, pp. 28005
-
-
Zlatić, V.1
Garlaschelli, D.2
Caldarelli, G.3
-
32
-
-
84942256852
-
Multilayer networks
-
M. Kivelä, A. Arenas, M. Barthelemy, J. P. Gleeson, Y. Moreno, and M. A. Porter, Multilayer networks, J. Comp. Netw. 2, 203 (2014). 2051-1310 10.1093/comnet/cnu016
-
(2014)
J. Comp. Netw.
, vol.2
, pp. 203
-
-
Kivelä, M.1
Arenas, A.2
Barthelemy, M.3
Gleeson, J.P.4
Moreno, Y.5
Porter, M.A.6
-
33
-
-
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 (London) 464, 1025 (2010). NATUAS 0028-0836 10.1038/nature08932
-
(2010)
Nature (London)
, vol.464
, pp. 1025
-
-
Buldyrev, S.V.1
Parshani, R.2
Paul, G.3
Stanley, H.E.4
Havlin, S.5
-
34
-
-
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, 048701 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.048701
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 048701
-
-
Parshani, R.1
Buldyrev, S.V.2
Havlin, S.3
-
35
-
-
84903647760
-
Multiple percolation transitions in a configuration model of a network of networks
-
It has recently come to our attention that similar phenomena have been studied in G. Bianconi and S. N. Dorogovtsev, Multiple percolation transitions in a configuration model of a network of networks, Phys. Rev. E 89, 062814 (2014); PLEEE8 1539-3755 10.1103/PhysRevE.89.062814
-
(2014)
Phys. Rev. E
, vol.89
, pp. 062814
-
-
Bianconi, G.1
Dorogovtsev, S.N.2
-
36
-
-
84907302470
-
Multiple hybrid phase transition: Bootstrap percolation on complex networks with communities
-
C. Wu, S. Ji, R. Zhang, L. Chen, J. Chen, X. Li, and Y. Hu, Multiple hybrid phase transition: Bootstrap percolation on complex networks with communities, Europhys. Lett. 107, 48001 (2014). EULEEJ 0295-5075 10.1209/0295-5075/107/48001
-
(2014)
Europhys. Lett.
, vol.107
, pp. 48001
-
-
Wu, C.1
Ji, S.2
Zhang, R.3
Chen, L.4
Chen, J.5
Li, X.6
Hu, Y.7
-
37
-
-
84859806605
-
Exact solution of bond percolation on small arbitrary graphs
-
A. Allard, L. Hébert-Dufresne, P.-A. Noël, V. Marceau, and L. J. Dubé, Exact solution of bond percolation on small arbitrary graphs, Europhys. Lett. 98, 16001 (2012). EULEEJ 0295-5075 10.1209/0295-5075/98/16001
-
(2012)
Europhys. Lett.
, vol.98
, pp. 16001
-
-
Allard, A.1
Hébert-Dufresne, L.2
Noël, P.-A.3
Marceau, V.4
Dubé, L.J.5
-
38
-
-
0001510996
-
Random graphs
-
E. N. Gilbert, Random graphs, Ann. Math. Stat. 30, 1141 (1959). AASTAD 0003-4851 10.1214/aoms/1177706098
-
(1959)
Ann. Math. Stat.
, vol.30
, pp. 1141
-
-
Gilbert, E.N.1
-
39
-
-
0033721503
-
Graph structure in the Web
-
A. Broder, R. Kumar, F. Maghoul, P. Raghavan, S. Rajagopalan, R. Stata, A. Tomkins, and J. Wiener, Graph structure in the Web, Comput. Netw. 33, 309 (2000). 10.1016/S1389-1286(00)00083-9
-
(2000)
Comput. Netw.
, vol.33
, pp. 309
-
-
Broder, A.1
Kumar, R.2
Maghoul, F.3
Raghavan, P.4
Rajagopalan, S.5
Stata, R.6
Tomkins, A.7
Wiener, J.8
-
41
-
-
41349106348
-
Spread of epidemic disease on networks
-
M. E. J. Newman, Spread of epidemic disease on networks, Phys. Rev. E 66, 016128 (2002). 1063-651X 10.1103/PhysRevE.66.016128
-
(2002)
Phys. Rev. E
, vol.66
, pp. 016128
-
-
Newman, M.E.J.1
-
42
-
-
33751534549
-
Clustering in complex networks. II. Percolation properties
-
M. Á. Serrano and M. Boguñá, Clustering in complex networks. II. Percolation properties, Phys. Rev. E 74, 056115 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.74.056115
-
(2006)
Phys. Rev. E
, vol.74
, pp. 056115
-
-
Serrano M, A.1
Boguñá, M.2
-
43
-
-
77953973695
-
How clustering affects the bond percolation threshold in complex networks
-
J. P. Gleeson, S. Melnik, and A. Hackett, How clustering affects the bond percolation threshold in complex networks, Phys. Rev. E 81, 066114 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.81.066114
-
(2010)
Phys. Rev. E
, vol.81
, pp. 066114
-
-
Gleeson, J.P.1
Melnik, S.2
Hackett, A.3
-
44
-
-
55849125053
-
Comment on "properties of highly clustered network
-
I. Z. Kiss and D. M. Green, Comment on "Properties of highly clustered network, Phys. Rev. E 78, 048101 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.78.048101
-
(2008)
Phys. Rev. E
, vol.78
, pp. 048101
-
-
Kiss, I.Z.1
Green, D.M.2
-
45
-
-
84921462675
-
Double Percolation Phase Transition in Clustered Complex Networks
-
P. Colomer-de-Simón and M. Boguñá, Double Percolation Phase Transition in Clustered Complex Networks, Phys. Rev. X 4, 041020 (2014). PRXHAE 2160-3308 10.1103/PhysRevX.4.041020
-
(2014)
Phys. Rev. X
, vol.4
, pp. 041020
-
-
Colomer-De-Simón, P.1
Boguñá, M.2
-
46
-
-
84855560656
-
Percolation theory on interdependent networks based on epidemic spreading
-
S.-W. Son, G. Bizhani, C. Christensen, P. Grassberger, and M. Paczuski, Percolation theory on interdependent networks based on epidemic spreading, Europhys. Lett. 97, 16006 (2012). EULEEJ 0295-5075 10.1209/0295-5075/97/16006
-
(2012)
Europhys. Lett.
, vol.97
, pp. 16006
-
-
Son, S.-W.1
Bizhani, G.2
Christensen, C.3
Grassberger, P.4
Paczuski, M.5
-
47
-
-
79953161100
-
Exact solution of finite size mean field percolation and application to nuclear fragmentation
-
P. Désesquelles, Exact solution of finite size mean field percolation and application to nuclear fragmentation, Phys. Lett. B 698, 284 (2011). PYLBAJ 0370-2693 10.1016/j.physletb.2011.03.023
-
(2011)
Phys. Lett. B
, vol.698
, pp. 284
-
-
Désesquelles, P.1
-
48
-
-
84875742553
-
Exact solution of random graph fragmentation and physical, chemical and biological applications
-
P. Désesquelles, D.-T. Nga, and A. Cholet, Exact solution of random graph fragmentation and physical, chemical and biological applications, J. Phys.: Conf. Ser. 410, 012058 (2013). 1742-6596 10.1088/1742-6596/410/1/012058
-
(2013)
J. Phys.: Conf. Ser.
, vol.410
, pp. 012058
-
-
Désesquelles, P.1
Nga, D.-T.2
Cholet, A.3
-
49
-
-
5544282100
-
Large-cell Monte Carlo renormalization group for percolation
-
P. J. Reynolds, H. E. Stanley, and W. Klein, Large-cell Monte Carlo renormalization group for percolation, Phys. Rev. B 21, 1223 (1980). PRBMDO 0163-1829 10.1103/PhysRevB.21.1223
-
(1980)
Phys. Rev. B
, vol.21
, pp. 1223
-
-
Reynolds, P.J.1
Stanley, H.E.2
Klein, W.3
-
50
-
-
43249127915
-
Critical Surfaces for General Bond Percolation Problems
-
C. R. Scullard and R. M. Ziff, Critical Surfaces for General Bond Percolation Problems, Phys. Rev. Lett. 100, 185701 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.185701
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 185701
-
-
Scullard, C.R.1
Ziff, R.M.2
-
51
-
-
79961079201
-
Cascades on a class of clustered random networks
-
A. Hackett, S. Melnik, and J. P. Gleeson, Cascades on a class of clustered random networks, Phys. Rev. E 83, 056107 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.056107
-
(2011)
Phys. Rev. E
, vol.83
, pp. 056107
-
-
Hackett, A.1
Melnik, S.2
Gleeson, J.P.3
-
52
-
-
0037197979
-
A simple model of global cascades on random networks
-
D. J. Watts, A simple model of global cascades on random networks, Proc. Natl. Acad. Sci. USA 99, 5766 (2002). PNASA6 0027-8424 10.1073/pnas.082090499
-
(2002)
Proc. Natl. Acad. Sci. USA
, vol.99
, pp. 5766
-
-
Watts, D.J.1
-
54
-
-
84859089658
-
Edge-based compartmental modelling for infectious disease spread
-
J. C. Miller, A. C. Slim, and E. M. Volz, Edge-based compartmental modelling for infectious disease spread, J. R. Soc. Interface 9, 890 (2012). 10.1098/rsif.2011.0403
-
(2012)
J. R. Soc. Interface
, vol.9
, pp. 890
-
-
Miller, J.C.1
Slim, A.C.2
Volz, E.M.3
|