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Volumn 1, Issue 2, 2014, Pages 76-90

Random walks, Markov processes and the multiscale modular organization of complex networks

Author keywords

centrality; Communities; community detection; Complex networks; Graph theory; graph theory; multiscale structure; Multiscale structures; Optimization; optimization; partition stability; random walks

Indexed keywords

COMPLEX NETWORKS; ECOSYSTEMS; MARKOV PROCESSES; OPTIMIZATION; POPULATION DYNAMICS; POTTS MODEL; STOCHASTIC SYSTEMS; STRUCTURAL OPTIMIZATION;

EID: 84922728356     PISSN: None     EISSN: 23274697     Source Type: Journal    
DOI: 10.1109/TNSE.2015.2391998     Document Type: Article
Times cited : (342)

References (87)
  • 1
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • M. E. J. Newman, "The structure and function of complex networks," SIAM Rev., vol. 45, pp. 167-256, 2003.
    • (2003) SIAM Rev. , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 3
    • 3343010976 scopus 로고    scopus 로고
    • Synchronization in small-world systems
    • Jul
    • M. Barahona and L. M. Pecora, "Synchronization in small-world systems," Phys. Rev. Lett., vol. 89, p. 054101, Jul 2002.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 054101
    • Barahona, M.1    Pecora, L.M.2
  • 4
    • 0037062448 scopus 로고    scopus 로고
    • Community structure in social and biological networks
    • M. Girvan and M. E. J. Newman, "Community structure in social and biological networks," Proc. Nat. Acad. Sci. USA, vol. 99, no. 12, pp. 7821-7826, 2002.
    • (2002) Proc. Nat. Acad. Sci. USA , vol.99 , Issue.12 , pp. 7821-7826
    • Girvan, M.1    Newman, M.E.J.2
  • 6
    • 74049087026 scopus 로고    scopus 로고
    • Community detection in graphs
    • S. Fortunato, "Community detection in graphs," Phys. Rep., vol. 486, no. 3, pp. 75-174, 2010.
    • (2010) Phys. Rep. , vol.486 , Issue.3 , pp. 75-174
    • Fortunato, S.1
  • 7
    • 70349607513 scopus 로고    scopus 로고
    • Communities in networks
    • M. A. Porter, J.-P. Onnela, and P. J. Mucha, "Communities in networks," Notices AMS, vol. 56, no. 9, pp. 1082-1097, 2009.
    • (2009) Notices AMS , vol.56 , Issue.9 , pp. 1082-1097
    • Porter, M.A.1    Onnela, J.-P.2    Mucha, P.J.3
  • 8
    • 34848890341 scopus 로고    scopus 로고
    • Extracting the hierarchical organization of complex systems
    • M. Sales-Pardo, R. Guimera, A. A. Moreira, and L. A. N. Amaral, "Extracting the hierarchical organization of complex systems," Proc. Nat. Acad. Sci., vol. 104, no. 39, pp. 15 224-15 229, 2007.
    • (2007) Proc. Nat. Acad. Sci. , vol.104 , Issue.39 , pp. 15224-15229
    • Sales-Pardo, M.1    Guimera, R.2    Moreira, A.A.3    Amaral, L.A.N.4
  • 9
    • 43049151837 scopus 로고    scopus 로고
    • Hierarchical structure and the prediction of missing links in networks
    • A. Clauset, C. Moore, and M. E. Newman, "Hierarchical structure and the prediction of missing links in networks," Nature, vol. 453, no. 7191, pp. 98-101, 2008.
    • (2008) Nature , vol.453 , Issue.7191 , pp. 98-101
    • Clauset, A.1    Moore, C.2    Newman, M.E.3
  • 10
    • 33645156787 scopus 로고    scopus 로고
    • Synchronization reveals topological scales in complex networks
    • A. Arenas, A. Díaz-Guilera, and C. J. Pérez-Vicente, "Synchronization reveals topological scales in complex networks," Phys. Rev. Lett., vol. 96, p. 114102, 2006.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 114102
    • Arenas, A.1    Díaz-Guilera, A.2    Pérez-Vicente, C.J.3
  • 11
    • 84886059912 scopus 로고    scopus 로고
    • Observability and coarse graining of consensus dynamics through the external equitable partition
    • Oct
    • N. O'Clery, Y. Yuan, G.-B. Stan, and M. Barahona, "Observability and coarse graining of consensus dynamics through the external equitable partition," Phys. Rev. E, vol. 88, p. 042805, Oct. 2013.
    • (2013) Phys. Rev. E , vol.88 , pp. 042805
    • O'Clery, N.1    Yuan, Y.2    Stan, G.-B.3    Barahona, M.4
  • 12
    • 44849126796 scopus 로고    scopus 로고
    • Mesoscopic structure conditions the emergence of cooperation on social networks
    • S. Lozano, A. Arenas, and A. Sánchez, "Mesoscopic structure conditions the emergence of cooperation on social networks," PLoS one, vol. 3, no. 4, p. e1892, 2008.
    • (2008) PLoS One , vol.3 , Issue.4
    • Lozano, S.1    Arenas, A.2    Sánchez, A.3
  • 13
    • 33847778662 scopus 로고    scopus 로고
    • Majority model on a network with communities
    • R. Lambiotte, M. Ausloos, and J. Ho"yst, "Majority model on a network with communities," Phys. Rev. E, vol. 75, no. 3, p. 030101, 2007.
    • (2007) Phys. Rev. E , vol.75 , Issue.3 , pp. 030101
    • Lambiotte, R.1    Ausloos, M.2    Hołyst, J.3
  • 14
    • 77955641547 scopus 로고    scopus 로고
    • Stability of graph communities across time scales
    • Online
    • J.-C. Delvenne, S. N. Yaliraki, and M. Barahona. (2010). Stability of graph communities across time scales Proc. Nat. Acad. Sci. [Online]. 107(29), pp. 12 755-12 760. Available: http://arxiv.org/ abs/0812.1811
    • (2010) Proc. Nat. Acad. Sci. , vol.107 , Issue.29 , pp. 12755-12760
    • Delvenne, J.-C.1    Yaliraki, S.N.2    Barahona, M.3
  • 15
    • 38849162343 scopus 로고    scopus 로고
    • Computing communities in large networks using random walks
    • M. Latapy and P. Pons, "Computing communities in large networks using random walks," J. Graph Algorithms Appl., vol. 10, no. 2, pp. 191-218, 2006.
    • (2006) J. Graph Algorithms Appl. , vol.10 , Issue.2 , pp. 191-218
    • Latapy, M.1    Pons, P.2
  • 16
    • 39549086558 scopus 로고    scopus 로고
    • Maps of random walks on complex networks reveal community structure
    • M. Rosvall and C. T. Bergstrom, "Maps of random walks on complex networks reveal community structure," Proc. Nat. Acad. Sci. USA, vol. 105, pp. 1118-1123, 2008.
    • (2008) Proc. Nat. Acad. Sci. USA , vol.105 , pp. 1118-1123
    • Rosvall, M.1    Bergstrom, C.T.2
  • 17
    • 77952328459 scopus 로고    scopus 로고
    • Community structure in time-dependent, multiscale, and multiplex networks
    • P. J. Mucha, T. Richardson, K. Macon, M. A. Porter, and J.-P. Onnela, "Community structure in time-dependent, multiscale, and multiplex networks," Science, vol. 328, no. 5980, pp. 876-878, 2010.
    • (2010) Science , vol.328 , Issue.5980 , pp. 876-878
    • Mucha, P.J.1    Richardson, T.2    Macon, K.3    Porter, M.A.4    Onnela, J.-P.5
  • 19
    • 84897688161 scopus 로고    scopus 로고
    • The stability of a graph partition: A dynamics-based framework for community detection
    • New York, NY, USA: Springer
    • J.-C. Delvenne, M. T. Schaub, S. N. Yaliraki, and M. Barahona, "The stability of a graph partition: A dynamics-based framework for community detection," in Dynamics On and Of Complex Networks, vol. 2. New York, NY, USA: Springer, 2013, pp. 221-242.
    • (2013) Dynamics on and of Complex Networks , vol.2 , pp. 221-242
    • Delvenne, J.-C.1    Schaub, M.T.2    Yaliraki, S.N.3    Barahona, M.4
  • 20
    • 84857539615 scopus 로고    scopus 로고
    • Markov dynamics as a zooming lens for multiscale community detection: Non clique-like communities and the field-of-view limit
    • M. Schaub, J. Delvenne, S. Yaliraki, and M. Barahona, "Markov dynamics as a zooming lens for multiscale community detection: Non clique-like communities and the field-of-view limit," PloS One, vol. 7, no. 2, p. e32210, 2012.
    • (2012) PloS One , vol.7 , Issue.2
    • Schaub, M.1    Delvenne, J.2    Yaliraki, S.3    Barahona, M.4
  • 21
    • 0001633546 scopus 로고
    • Aggregation of variables in dynamic systems
    • H. Simon and A. Ando, "Aggregation of variables in dynamic systems," Econometrica, vol. 29, no. 2, pp. 111-137, 1961.
    • (1961) Econometrica , vol.29 , Issue.2 , pp. 111-137
    • Simon, H.1    Ando, A.2
  • 23
    • 0003063241 scopus 로고
    • On quasi-stationary distributions in absorbing discrete-time finite Markov chains
    • J. N. Darroch and E. Seneta, "On quasi-stationary distributions in absorbing discrete-time finite Markov chains," J. Appl. Probability, vol. 2, no. 1, pp. 88-100, 1965.
    • (1965) J. Appl. Probability , vol.2 , Issue.1 , pp. 88-100
    • Darroch, J.N.1    Seneta, E.2
  • 24
    • 0001383449 scopus 로고
    • On quasi-stationary distributions in absorbing continuous-time finite Markov chains
    • J. N. Darroch and E. Seneta, "On quasi-stationary distributions in absorbing continuous-time finite Markov chains," J. Appl. Probability, vol. 4, no. 1, pp. 192-196, 1967.
    • (1967) J. Appl. Probability , vol.4 , Issue.1 , pp. 192-196
    • Darroch, J.N.1    Seneta, E.2
  • 26
    • 33750994100 scopus 로고
    • λ1, isoperimetric inequalities for graphs, and superconcentrators
    • N. Alon and V. D. Milman, "λ1, isoperimetric inequalities for graphs, and superconcentrators," J. Combinatorial Theory, Series B, vol. 38, no. 1, pp. 73-88, 1985.
    • (1985) J. Combinatorial Theory, Series B , vol.38 , Issue.1 , pp. 73-88
    • Alon, N.1    Milman, V.D.2
  • 27
    • 0040174183 scopus 로고
    • The mixing rate of Markov chains, an isoperimetric inequality, and computing the volume
    • L. Lovász and M. Simonovits, "The mixing rate of Markov chains, an isoperimetric inequality, and computing the volume," in Proc. 31st Annu. Symp. Found. Comput. Sci., 1990, pp. 346-354.
    • (1990) Proc. 31st Annu. Symp. Found. Comput. Sci. , pp. 346-354
    • Lovász, L.1    Simonovits, M.2
  • 28
    • 84921718673 scopus 로고    scopus 로고
    • Four proofs for the cheeger inequality and graph partition algorithms
    • F. R. Chung, "Four proofs for the cheeger inequality and graph partition algorithms," in Proc. ICCM, 2007, vol. 2, p. 378.
    • (2007) Proc. ICCM , vol.2 , pp. 378
    • Chung, F.R.1
  • 29
    • 61349112688 scopus 로고    scopus 로고
    • Graph nodes clustering with the sigmoid commute-time kernel: A comparative study
    • L. Yen, F. Fouss, C. Decaestecker, P. Francq, and M. Saerens, "Graph nodes clustering with the sigmoid commute-time kernel: A comparative study," Data & Knowledge Engineering, vol. 68, no. 3, pp. 338-361.
    • Data & Knowledge Engineering , vol.68 , Issue.3 , pp. 338-361
    • Yen, L.1    Fouss, F.2    Decaestecker, C.3    Francq, P.4    Saerens, M.5
  • 32
    • 80455174307 scopus 로고    scopus 로고
    • Finding and testing network communities by lumped markov chains
    • C. Piccardi, "Finding and testing network communities by lumped markov chains," PloS One, vol. 6, no. 11, p. e27028, 2011.
    • (2011) PloS One , vol.6 , Issue.11
    • Piccardi, C.1
  • 33
    • 61849113253 scopus 로고    scopus 로고
    • Graph clustering via a discrete uncoupling process
    • S. Van Dongen, "Graph clustering via a discrete uncoupling process," SIAM J. Matrix Anal. Appl., vol. 30, no. 1, pp. 121-141, 2008.
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , Issue.1 , pp. 121-141
    • Van Dongen, S.1
  • 34
    • 84922711632 scopus 로고    scopus 로고
    • series Regional Conference Series in Mathematics, Providence, RI, USA: AMS
    • F. Chung, Spectral Graph Theory, series Regional Conference Series in Mathematics, vol. 92. Providence, RI, USA: AMS, 1997.
    • (1997) Spectral Graph Theory , vol.92
    • Chung, F.1
  • 35
    • 84862234280 scopus 로고    scopus 로고
    • Multi-scale community detection using stability as optimisation criterion in a greedy algorithm
    • E. Le Martelot and C. Hankin, "Multi-scale community detection using stability as optimisation criterion in a greedy algorithm." in Proc. Int. Conf. Knowl. Discovery Inform. Retrieval, 2011, pp. 216-225.
    • (2011) Proc. Int. Conf. Knowl. Discovery Inform. Retrieval , pp. 216-225
    • Le Martelot, E.1    Hankin, C.2
  • 36
    • 49849087740 scopus 로고    scopus 로고
    • Modular networks with hierarchical organization: The dynamical implications of complex structure
    • R. K. Pan and S. Sinha, "Modular networks with hierarchical organization: The dynamical implications of complex structure," Pramana, vol. 71, no. 2, pp. 331-340, 2008.
    • (2008) Pramana , vol.71 , Issue.2 , pp. 331-340
    • Pan, R.K.1    Sinha, S.2
  • 37
    • 33745012299 scopus 로고    scopus 로고
    • Modularity and community structure in networks
    • M. E. J. Newman, "Modularity and community structure in networks," Proc. Nat. Acad. Sci. USA, vol. 103, pp. 8577-8582, 2006.
    • (2006) Proc. Nat. Acad. Sci. USA , vol.103 , pp. 8577-8582
    • Newman, M.E.J.1
  • 38
    • 33344464667 scopus 로고
    • Measurement of diversity
    • E. Simpson, "Measurement of diversity," Nature, vol. 163, no. 4148, pp. 688-688, 1949.
    • (1949) Nature , vol.163 , Issue.4148 , pp. 688-688
    • Simpson, E.1
  • 39
    • 0000511820 scopus 로고
    • The paternity of an index
    • A. Hirschman, "The paternity of an index," Am. Economic Rev., vol. 54, no. 5, pp. 761-762, 1964.
    • (1964) Am. Economic Rev. , vol.54 , Issue.5 , pp. 761-762
    • Hirschman, A.1
  • 41
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • M. Fiedler, "Algebraic connectivity of graphs," Czechoslovak Math. J., vol. 23, no. 98, pp. 298-305, 1973.
    • (1973) Czechoslovak Math. J. , vol.23 , Issue.98 , pp. 298-305
    • Fiedler, M.1
  • 42
    • 0000827674 scopus 로고
    • A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
    • M. Fiedler, "A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory," Czechoslovak Math. J., vol. 25, no. 100, pp. 619-633, 1975.
    • (1975) Czechoslovak Math. J. , vol.25 , Issue.100 , pp. 619-633
    • Fiedler, M.1
  • 43
    • 33749468596 scopus 로고    scopus 로고
    • Finding community structure in networks using the eigenvectors of matrices
    • M. E. J. Newman, "Finding community structure in networks using the eigenvectors of matrices," Phys. Rev. E, vol. 74, no. 3, 2006.
    • (2006) Phys. Rev. E , vol.74 , Issue.3
    • Newman, M.E.J.1
  • 44
    • 0034244751 scopus 로고    scopus 로고
    • Normalized cuts and image segmentation
    • J. Shi and J. Malik, "Normalized cuts and image segmentation," IEEE Trans. Pattern Anal. Mach. Intell., vol. 22, no. 8, pp. 888-905, 2000.
    • (2000) IEEE Trans. Pattern Anal. Mach. Intell. , vol.22 , Issue.8 , pp. 888-905
    • Shi, J.1    Malik, J.2
  • 47
    • 33746227724 scopus 로고    scopus 로고
    • Statistical mechanics of community detection
    • J. Reichardt and S. Bornholdt, "Statistical mechanics of community detection," Phys. Rev. E, vol. 74, p. 016110, 2006.
    • (2006) Phys. Rev. E , vol.74 , pp. 016110
    • Reichardt, J.1    Bornholdt, S.2
  • 48
    • 79961125553 scopus 로고    scopus 로고
    • Narrow scope for resolution-limit-free community detection
    • V. Traag, P. Van Dooren, and Y. Nesterov, "Narrow scope for resolution-limit-free community detection," Phys. Rev. E, vol. 84, no. 1, p. 016114, 2011.
    • (2011) Phys. Rev. E , vol.84 , Issue.1 , pp. 016114
    • Traag, V.1    Van Dooren, P.2    Nesterov, Y.3
  • 49
    • 55849088356 scopus 로고    scopus 로고
    • Benchmark graphs for testing community detection algorithms
    • A. Lancichinetti and F. R. S. Fortunato, "Benchmark graphs for testing community detection algorithms," Phys. Rev. E, vol. 78, p. 46110, 2008.
    • (2008) Phys. Rev. E , vol.78 , pp. 46110
    • Lancichinetti, A.1    Fortunato, F.R.S.2
  • 50
    • 0041775676 scopus 로고    scopus 로고
    • Diffusion kernels on graphs and other discrete input spaces
    • R. I. Kondor and J. Lafferty, "Diffusion kernels on graphs and other discrete input spaces," in Proc. 19th Int. Conf. Mach. Learning, 2002, vol. 2, pp. 315-322.
    • (2002) Proc. 19th Int. Conf. Mach. Learning , vol.2 , pp. 315-322
    • Kondor, R.I.1    Lafferty, J.2
  • 51
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • Jun
    • A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 52
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • Jan
    • R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
    • (2007) Proc. IEEE , vol.95 , Issue.1 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 53
    • 34248997758 scopus 로고    scopus 로고
    • Synchronization and modularity in complex networks
    • A. Arenas and A. Diaz-Guilera, "Synchronization and modularity in complex networks," Eur. Phys. J. Special Topics, vol. 143, no. 1, pp. 19-25, 2007.
    • (2007) Eur. Phys. J. Special Topics , vol.143 , Issue.1 , pp. 19-25
    • Arenas, A.1    Diaz-Guilera, A.2
  • 54
    • 84873468997 scopus 로고    scopus 로고
    • Synchronization in complex oscillator networks and smart grids
    • F. D €orfler, M. Chertkov, and F. Bullo, "Synchronization in complex oscillator networks and smart grids," Proc. Nat. Acad. Sci., vol. 110, no. 6, pp. 2005-2010, 2013.
    • (2013) Proc. Nat. Acad. Sci. , vol.110 , Issue.6 , pp. 2005-2010
    • Deuro1    orfler, F.2    Chertkov, M.3    Bullo, F.4
  • 57
    • 0001316531 scopus 로고
    • Factoring and weighting approaches to status scores and clique identification
    • P. Bonacich, "Factoring and weighting approaches to status scores and clique identification," J. Math. Soc., vol. 2, no. 1, pp. 113-120, 1972.
    • (1972) J. Math. Soc. , vol.2 , Issue.1 , pp. 113-120
    • Bonacich, P.1
  • 58
    • 79961063554 scopus 로고    scopus 로고
    • Centrality measures and thermodynamic formalism for complex networks
    • J.-C. Delvenne and A.-S. Libert, "Centrality measures and thermodynamic formalism for complex networks," Phys. Rev. E, vol. 83, no. 4, p. 046117, 2011.
    • (2011) Phys. Rev. E , vol.83 , Issue.4 , pp. 046117
    • Delvenne, J.-C.1    Libert, A.-S.2
  • 59
    • 84968480689 scopus 로고
    • Intrinsic Markov chains
    • W. Parry, "Intrinsic Markov chains," Trans. Am. Math. Soc, vol. 112, no. 1, pp. 55-65, 1964.
    • (1964) Trans. Am. Math. Soc , vol.112 , Issue.1 , pp. 55-65
    • Parry, W.1
  • 60
    • 84870676163 scopus 로고    scopus 로고
    • A consistent adjacency spectral embedding for stochastic blockmodel graphs
    • D. L. Sussman, M. Tang, D. E. Fishkind, and C. E. Priebe, "A consistent adjacency spectral embedding for stochastic blockmodel graphs," J. Am. Statist. Assoc., vol. 107, no. 499, pp. 1119-1128, 2012.
    • (2012) J. Am. Statist. Assoc. , vol.107 , Issue.499 , pp. 1119-1128
    • Sussman, D.L.1    Tang, M.2    Fishkind, D.E.3    Priebe, C.E.4
  • 61
    • 84873506174 scopus 로고    scopus 로고
    • Maximal entropy random walk in community detection
    • J. Ochab and Z. Burda, "Maximal entropy random walk in community detection," Eur. Phys. J. Special Topics, vol. 216, no. 1, pp. 73-81, 2013.
    • (2013) Eur. Phys. J. Special Topics , vol.216 , Issue.1 , pp. 73-81
    • Ochab, J.1    Burda, Z.2
  • 62
    • 35148833196 scopus 로고    scopus 로고
    • Some unique properties of eigenvector centrality
    • P. Bonacich, "Some unique properties of eigenvector centrality," Soc. Netw., vol. 29, no. 4, pp. 555-564, 2007.
    • (2007) Soc. Netw. , vol.29 , Issue.4 , pp. 555-564
    • Bonacich, P.1
  • 64
    • 41449087415 scopus 로고    scopus 로고
    • Community structure in directed networks
    • E. Leicht and M. Newman, "Community structure in directed networks," Phys. Rev. Lett., vol. 100, no. 11, p. 118703, 2008.
    • (2008) Phys. Rev. Lett. , vol.100 , Issue.11 , pp. 118703
    • Leicht, E.1    Newman, M.2
  • 65
    • 34547333419 scopus 로고    scopus 로고
    • Size reduction of complex networks preserving modularity
    • A. Arenas, J. Duch, A. Fernández, and S. Gómez, "Size reduction of complex networks preserving modularity," New J. Phys., vol. 9, no. 6, p. 176, 2007.
    • (2007) New J. Phys. , vol.9 , Issue.6 , pp. 176
    • Arenas, A.1    Duch, J.2    Fernández, A.3    Gómez, S.4
  • 66
    • 51849131477 scopus 로고    scopus 로고
    • Spectral centrality measures in complex networks
    • N. Perra and S. Fortunato, "Spectral centrality measures in complex networks," Phys. Rev. E, vol. 78, no. 3, p. 036107, 2008.
    • (2008) Phys. Rev. E , vol.78 , Issue.3 , pp. 036107
    • Perra, N.1    Fortunato, S.2
  • 68
    • 84922725103 scopus 로고    scopus 로고
    • Interest communities and flow roles in directed networks: The twitter network of the uk riots
    • [Online] abstract
    • M. Beguerisse-Diaz, G. Garduno-Hernandez, B. Vangelov, S. N. Yaliraki, and M. Barahona. (2014). Interest communities and flow roles in directed networks: the twitter network of the uk riots. J. Royal Soc. Interface [Online]. 11(101). Available: http://rsif.royalsocietypublishing. org/content/11/101/20140940.abstract
    • (2014) J. Royal Soc. Interface , vol.11 , Issue.101
    • Beguerisse-Diaz, M.1    Garduno-Hernandez, G.2    Vangelov, B.3    Yaliraki, S.N.4    Barahona, M.5
  • 70
    • 77951138987 scopus 로고    scopus 로고
    • Performance of modularity maximization in practical contexts
    • B. H. Good, Y.-A. de Montjoye, and A. Clauset, "Performance of modularity maximization in practical contexts," Phys. Rev. E, vol. 81, no. 4, p. 046106, 2010.
    • (2010) Phys. Rev. E , vol.81 , Issue.4 , pp. 046106
    • Good, B.H.1    De Montjoye, Y.-A.2    Clauset, A.3
  • 72
    • 0034244751 scopus 로고    scopus 로고
    • Normalized cuts and image segmentation
    • Aug.
    • J. Shi and J. Malik, "Normalized cuts and image segmentation," IEEE Trans. Pattern Anal. Mach. Intell., vol. 22, no. 8, pp. 888-905, Aug. 2000.
    • (2000) IEEE Trans. Pattern Anal. Mach. Intell. , vol.22 , Issue.8 , pp. 888-905
    • Shi, J.1    Malik, J.2
  • 73
    • 68949120793 scopus 로고    scopus 로고
    • Multiresolution community detection for megascale networks by information-based replica correlations
    • P. Ronhovde and Z. Nussinov, "Multiresolution community detection for megascale networks by information-based replica correlations," Phys. Rev. E, vol. 80, no. 1, p. 016109, 2009.
    • (2009) Phys. Rev. E , vol.80 , Issue.1 , pp. 016109
    • Ronhovde, P.1    Nussinov, Z.2
  • 74
    • 80052687731 scopus 로고    scopus 로고
    • Protein multi-scale organization through graph partitioning and robustness analysis: Application to the myosin:Myosin light chain interaction
    • A. Delmotte, E. W. Tate, S. N. Yaliraki, and M. Barahona, "Protein multi-scale organization through graph partitioning and robustness analysis: application to the myosin:myosin light chain interaction," Phys. Biol., vol. 8, no. 5, p. 055010, 2011.
    • (2011) Phys. Biol. , vol.8 , Issue.5 , pp. 055010
    • Delmotte, A.1    Tate, E.W.2    Yaliraki, S.N.3    Barahona, M.4
  • 75
    • 46749146824 scopus 로고    scopus 로고
    • Analysis of the structure of complex networks at different resolution levels
    • A. Arenas, A. Fernandez, and S. Gomez, "Analysis of the structure of complex networks at different resolution levels," New J. Phys., vol. 10, no. 5, p. 053039, 2008.
    • (2008) New J. Phys. , vol.10 , Issue.5 , pp. 053039
    • Arenas, A.1    Fernandez, A.2    Gomez, S.3
  • 76
    • 43049089442 scopus 로고    scopus 로고
    • Robustness of community structure in networks
    • B. Karrer, E. Levina, and M. E. Newman, "Robustness of community structure in networks," Phys. Rev. E, vol. 77, no. 4, p. 046119, 2008.
    • (2008) Phys. Rev. E , vol.77 , Issue.4 , pp. 046119
    • Karrer, B.1    Levina, E.2    Newman, M.E.3
  • 77
    • 33746227724 scopus 로고    scopus 로고
    • Statistical mechanics of community detection
    • J. Reichardt and S. Bornholdt, "Statistical mechanics of community detection," Phys. Rev. E, vol. 74, p. 016110, 2006.
    • (2006) Phys. Rev. E , vol.74 , pp. 016110
    • Reichardt, J.1    Bornholdt, S.2
  • 79
    • 33947156744 scopus 로고    scopus 로고
    • Comparing clusterings-an information based distance
    • M. Meilə;, "Comparing clusterings-an information based distance," J. Multivariate Anal., vol. 98, no. 5, pp. 873-895, 2007.
    • (2007) J. Multivariate Anal. , vol.98 , Issue.5 , pp. 873-895
    • Meilə, M.1
  • 80
    • 70349599214 scopus 로고    scopus 로고
    • Dynamic communities in multichannel data: An application to the foreign exchange market during the 2007-2008 credit crisis
    • D. J. Fenn, M. A. Porter, M. McDonald, S. Williams, N. F. Johnson, and N. S. Jones, "Dynamic communities in multichannel data: An application to the foreign exchange market during the 2007-2008 credit crisis," Chaos: An Interdisciplinary J. Nonlinear Sci., vol. 19, no. 3, p. 033119, 2009.
    • (2009) Chaos: An InterdisciplinaryJ. Nonlinear Sci. , vol.19 , Issue.3 , pp. 033119
    • Fenn, D.J.1    Porter, M.A.2    McDonald, M.3    Williams, S.4    Johnson, N.F.5    Jones, N.S.6
  • 83
    • 4644317383 scopus 로고    scopus 로고
    • Information flow and cooperative control of vehicle formations
    • Sep
    • J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1465-1476, Sep. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.9 , pp. 1465-1476
    • Fax, J.A.1    Murray, R.M.2
  • 84
    • 0039592729 scopus 로고    scopus 로고
    • From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • S. H. Strogatz, "From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators," Physica D: Nonlinear Phenomena, vol. 143, no. 1, pp. 1-20, 2000.
    • (2000) Physica D: Nonlinear Phenomena , vol.143 , Issue.1 , pp. 1-20
    • Strogatz, S.H.1
  • 85
    • 37649028224 scopus 로고    scopus 로고
    • Finding and evaluating community structure in networks
    • M. E. J. Newman and M. Girvan, "Finding and evaluating community structure in networks," Phys. Rev. E, vol. 69, no. 2, 2004.
    • (2004) Phys. Rev. E , vol.69 , Issue.2
    • Newman, M.E.J.1    Girvan, M.2
  • 86
    • 39549086558 scopus 로고    scopus 로고
    • Maps of random walks on complex networks reveal community structure
    • M. Rosvall and C. T. Bergstrom, "Maps of random walks on complex networks reveal community structure," Proc. Nat. Acad. Sci. USA, vol. 105, pp. 1118-1123, 2008.
    • (2008) Proc. Nat. Acad. Sci. USA , vol.105 , pp. 1118-1123
    • Rosvall, M.1    Bergstrom, C.T.2
  • 87
    • 84867444416 scopus 로고    scopus 로고
    • Generalized master equations for non-Poisson dynamics on networks
    • T. Hoffmann, M. A. Porter, and R. Lambiotte, "Generalized master equations for non-Poisson dynamics on networks," Phys. Rev. E, vol. 86, no. 4, p. 046102, 2012.
    • (2012) Phys. Rev. E , vol.86 , Issue.4 , pp. 046102
    • Hoffmann, T.1    Porter, M.A.2    Lambiotte, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.