메뉴 건너뛰기




Volumn 6, Issue 11, 2011, Pages

Finding and testing network communities by lumped Markov chains

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; CLUSTER ANALYSIS; COMPUTER NETWORK; CONTROLLED STUDY; LUMPED MARKOV CHAIN; PARTITION; PROBABILITY; SOCIAL NETWORK; STATISTICAL ANALYSIS;

EID: 80455174307     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0027028     Document Type: Article
Times cited : (61)

References (55)
  • 1
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • Strogatz SH, (2001) Exploring complex networks. Nature 410: 268-276.
    • (2001) Nature , vol.410 , pp. 268-276
    • Strogatz, S.H.1
  • 3
    • 84924517160 scopus 로고    scopus 로고
    • Dynamical Processes on Complex Networks
    • Cambridge University Press
    • Barrat A, Barthlemy M, Vespignani A, (2008) Dynamical Processes on Complex Networks. Cambridge University Press.
    • (2008)
    • Barrat, A.1    Barthlemy, M.2    Vespignani, A.3
  • 4
    • 77954826067 scopus 로고    scopus 로고
    • Networks: An Introduction
    • Oxford University Press
    • Newman MEJ, (2010) Networks: An Introduction. Oxford University Press.
    • (2010)
    • Newman, M.E.J.1
  • 5
    • 33745012299 scopus 로고    scopus 로고
    • Modularity and community structure in networks
    • Newman MEJ, (2006) Modularity and community structure in networks. Proc Natl Acad Sci USA 103: 8577-8582.
    • (2006) Proc Natl Acad Sci USA , vol.103 , pp. 8577-8582
    • Newman, M.E.J.1
  • 6
    • 34548821644 scopus 로고    scopus 로고
    • Module identification in bipartite and directed networks
    • Guimera R, Sales-Pardo M, Amaral LAN, (2007) Module identification in bipartite and directed networks. Phys Rev E 76: 036102.
    • (2007) Phys Rev E , vol.76 , pp. 036102
    • Guimera, R.1    Sales-Pardo, M.2    Amaral, L.A.N.3
  • 7
    • 30644463216 scopus 로고    scopus 로고
    • Cluster analysis of networks generated through homology: automatic identification of important protein communities involved in cancer metastasis
    • Jonsson P, Cavanna T, Zicha D, Bates P, (2006) Cluster analysis of networks generated through homology: automatic identification of important protein communities involved in cancer metastasis. BMC Bioinformatics 7.
    • (2006) BMC Bioinformatics , vol.7
    • Jonsson, P.1    Cavanna, T.2    Zicha, D.3    Bates, P.4
  • 9
    • 77956970111 scopus 로고    scopus 로고
    • Communities in italian corporate networks
    • Piccardi C, Calatroni L, Bertoni F, (2010) Communities in italian corporate networks. Physica A 389: 5247-5258.
    • (2010) Physica A , vol.389 , pp. 5247-5258
    • Piccardi, C.1    Calatroni, L.2    Bertoni, F.3
  • 10
    • 0036497195 scopus 로고    scopus 로고
    • Self-organization and identification of web communities
    • Flake G, Lawrence S, Giles C, Coetzee F, (2002) Self-organization and identification of web communities. Computer 35: 66-71.
    • (2002) Computer , vol.35 , pp. 66-71
    • Flake, G.1    Lawrence, S.2    Giles, C.3    Coetzee, F.4
  • 11
    • 79956373907 scopus 로고    scopus 로고
    • Community structure of complex software systems: Analysis and applications
    • Šubelj L, Bajec M, (2011) Community structure of complex software systems: Analysis and applications. Physica A 390: 2968-2975.
    • (2011) Physica A , vol.390 , pp. 2968-2975
    • Šubelj, L.1    Bajec, M.2
  • 12
    • 74049087026 scopus 로고    scopus 로고
    • Community detection in graphs
    • Fortunato S, (2010) Community detection in graphs. Phys Rep 486: 75-174.
    • (2010) Phys Rep , vol.486 , pp. 75-174
    • Fortunato, S.1
  • 13
    • 0003948494 scopus 로고
    • Social Network Analysis
    • Cambridge, UK, Cambridge University Press
    • Wasserman S, Faust K, (1994) Social Network Analysis. Cambridge, UK Cambridge University Press.
    • (1994)
    • Wasserman, S.1    Faust, K.2
  • 15
    • 33750998157 scopus 로고    scopus 로고
    • When are networks truly modular?
    • Reichardt J, Bornholdt S, (2006) When are networks truly modular? Physica D 224: 20-26.
    • (2006) Physica D , vol.224 , pp. 20-26
    • Reichardt, J.1    Bornholdt, S.2
  • 16
    • 50249088779 scopus 로고    scopus 로고
    • Comparative definition of community and corresponding identifying algorithm
    • Hu Y, Chen H, Zhang P, Li M, Di Z, et al. (2008) Comparative definition of community and corresponding identifying algorithm. Phys Rev E 78: 026121.
    • (2008) Phys Rev E , vol.78 , pp. 026121
    • Hu, Y.1    Chen, H.2    Zhang, P.3    Li, M.4    Di, Z.5
  • 17
    • 37649028224 scopus 로고    scopus 로고
    • Finding and evaluating community structure in networks
    • Newman MEJ, Girvan M, (2004) Finding and evaluating community structure in networks. Phys Rev E 69: 026113.
    • (2004) Phys Rev E , vol.69 , pp. 026113
    • Newman, M.E.J.1    Girvan, M.2
  • 18
    • 33749468596 scopus 로고    scopus 로고
    • Finding community structure in networks using the eigenvectors of matrices
    • Newman MEJ, (2006) Finding community structure in networks using the eigenvectors of matrices. Phys Rev E 74: 036104.
    • (2006) Phys Rev E , vol.74 , pp. 036104
    • Newman, M.E.J.1
  • 20
    • 78651407697 scopus 로고    scopus 로고
    • Measuring the significance of community structure in complex networks
    • Hu Y, Nie Y, Yang H, Cheng J, Fan Y, et al. (2010) Measuring the significance of community structure in complex networks. Phys Rev E 82: 066106.
    • (2010) Phys Rev E , vol.82 , pp. 066106
    • Hu, Y.1    Nie, Y.2    Yang, H.3    Cheng, J.4    Fan, Y.5
  • 21
    • 77958564958 scopus 로고    scopus 로고
    • Community landscapes: An integrative approach to determine overlapping network module hierarchy, identify key nodes and predict network dynamics
    • Kovacs IA, Palotai R, Szalay MS, Csermely P, (2010) Community landscapes: An integrative approach to determine overlapping network module hierarchy, identify key nodes and predict network dynamics. PLoS One 5: e12528.
    • (2010) PLoS One , vol.5
    • Kovacs, I.A.1    Palotai, R.2    Szalay, M.S.3    Csermely, P.4
  • 23
    • 0003736354 scopus 로고    scopus 로고
    • Matrix Analysis and Applied Linear Algebra
    • SIAM
    • Meyer C, (2000) Matrix Analysis and Applied Linear Algebra. SIAM.
    • (2000)
    • Meyer, C.1
  • 24
    • 0003979966 scopus 로고
    • Finite Markov Chains
    • Springer-Verlag
    • Kemeny JG, Snell JL, (1976) Finite Markov Chains. Springer-Verlag.
    • (1976)
    • Kemeny, J.G.1    Snell, J.L.2
  • 25
    • 21344479789 scopus 로고
    • Exact and ordinary lumpability in finite Markov-chains
    • Buchholz P, (1994) Exact and ordinary lumpability in finite Markov-chains. J Appl Probab 31: 59-75.
    • (1994) J Appl Probab , vol.31 , pp. 59-75
    • Buchholz, P.1
  • 26
    • 67349151777 scopus 로고    scopus 로고
    • Bounding the lumping error in Markov chain dynamics
    • Hoffmann KH, Salamon P, (2009) Bounding the lumping error in Markov chain dynamics. Appl Math Lett 22: 1471-1475.
    • (2009) Appl Math Lett , vol.22 , pp. 1471-1475
    • Hoffmann, K.H.1    Salamon, P.2
  • 28
    • 75349093229 scopus 로고    scopus 로고
    • Finding communities in directed networks
    • Kim Y, Son SW, Jeong H, (2010) Finding communities in directed networks. Phys Rev E 81: 016103.
    • (2010) Phys Rev E , vol.81 , pp. 016103
    • Kim, Y.1    Son, S.W.2    Jeong, H.3
  • 29
    • 34547237784 scopus 로고    scopus 로고
    • Partitioning and modularity of graphs with arbitrary degree distribution
    • Reichardt J, Bornholdt S, (2007) Partitioning and modularity of graphs with arbitrary degree distribution. Phys Rev E 76: 015102.
    • (2007) Phys Rev E , vol.76 , pp. 015102
    • Reichardt, J.1    Bornholdt, S.2
  • 30
    • 33745659811 scopus 로고    scopus 로고
    • On the NP-completeness of some graph cluster measures
    • In: Wiedermann J, Tel G, Pokorny J, Bielikova M, Stuller J, editors, of Lecture Notes in Computer Science
    • Sima J, Schaeffer S, (2006) On the NP-completeness of some graph cluster measures. In: Wiedermann J, Tel G, Pokorny J, Bielikova M, Stuller J, editors. SOFSEM 2006: Theory and Practice of Computer Science, Proceedings. volume 3831 pp.of Lecture Notes in Computer Science: 530-537.
    • (2006) SOFSEM 2006: Theory and Practice of Computer Science, Proceedings , vol.3831 , pp. 530-537
    • Sima, J.1    Schaeffer, S.2
  • 31
    • 37649029805 scopus 로고    scopus 로고
    • Distance, dissimilarity index, and network community structure
    • Zhou H, (2003) Distance, dissimilarity index, and network community structure. Phys Rev E 67.
    • (2003) Phys Rev E , vol.67
    • Zhou, H.1
  • 32
    • 33646530046 scopus 로고    scopus 로고
    • Computing communities in large networks using random walks
    • In: Proceedings Yolum P, Gungor T, Gurgen F, Ozturan C, editors, Springer-Verlag Berlin, date volume 3733 of Lecture Notes In Computer Science
    • Pons P, Latapy M, Computing communities in large networks using random walks. In: Yolum P, Gungor T, Gurgen F, Ozturan C, editors. Computer and Information Sciences- ISCIS 2005, Proceedings Yolum, P and Gungor, T and Gurgen, F and Ozturan, C, editor, Springer-Verlag Berlin, date volume 3733 of Lecture Notes In Computer Science pp.284-293.
    • Computer and Information Sciences - ISCIS 2005 , pp. 284-293
    • Pons, P.1    Latapy, M.2
  • 33
    • 33847766633 scopus 로고    scopus 로고
    • Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation
    • Fouss F, Pirotte A, Renders JM, Saerens M, (2007) Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation. IEEE Trans Knowl Data Eng 19: 355-369.
    • (2007) IEEE Trans Knowl Data Eng , vol.19 , pp. 355-369
    • Fouss, F.1    Pirotte, A.2    Renders, J.M.3    Saerens, M.4
  • 34
    • 39549086558 scopus 로고    scopus 로고
    • Maps of random walks on complex networks reveal community structure
    • Rosvall M, Bergstrom CT, (2008) Maps of random walks on complex networks reveal community structure. Proc Natl Acad Sci USA 105: 1118-1123.
    • (2008) Proc Natl Acad Sci USA , vol.105 , pp. 1118-1123
    • Rosvall, M.1    Bergstrom, C.T.2
  • 35
    • 75149140809 scopus 로고    scopus 로고
    • Identifying and evaluating community structure in complex networks
    • Steinhaeuser K, Chawla NV, (2010) Identifying and evaluating community structure in complex networks. Pattern Recognit Lett 31: 413-421.
    • (2010) Pattern Recognit Lett , vol.31 , pp. 413-421
    • Steinhaeuser, K.1    Chawla, N.V.2
  • 37
    • 0018134105 scopus 로고
    • The limited value of cophenetic correlation as a clustering criterion
    • Holgersson M, (1978) The limited value of cophenetic correlation as a clustering criterion. Pattern Recognit 10: 287-295.
    • (1978) Pattern Recognit , vol.10 , pp. 287-295
    • Holgersson, M.1
  • 38
    • 55849088356 scopus 로고    scopus 로고
    • Benchmark graphs for testing community detection algorithms
    • Lancichinetti A, Fortunato S, Radicchi F, (2008) Benchmark graphs for testing community detection algorithms. Phys Rev E 78.
    • (2008) Phys Rev E , vol.78
    • Lancichinetti, A.1    Fortunato, S.2    Radicchi, F.3
  • 39
    • 68949111730 scopus 로고    scopus 로고
    • Benchmarks for testing community detection algorithms on directed and weighted graphs with overlapping communities
    • Lancichinetti A, Fortunato S, (2009) Benchmarks for testing community detection algorithms on directed and weighted graphs with overlapping communities. Phys Rev E 80.
    • (2009) Phys Rev E , vol.80
    • Lancichinetti, A.1    Fortunato, S.2
  • 41
    • 37649031573 scopus 로고    scopus 로고
    • Detecting fuzzy community structures in complex networks with a Potts model
    • Reichardt J, Bornholdt S, (2004) Detecting fuzzy community structures in complex networks with a Potts model. Phys Rev Lett 93: 218701.
    • (2004) Phys Rev Lett , vol.93 , pp. 218701
    • Reichardt, J.1    Bornholdt, S.2
  • 43
    • 78651106213 scopus 로고    scopus 로고
    • A Shapley value-based approach to discover influential nodes in social networks
    • Narayanam R, Narahari Y, (2011) A Shapley value-based approach to discover influential nodes in social networks. IEEE Trans Autom Sci Eng 8: 130-147.
    • (2011) IEEE Trans Autom Sci Eng , vol.8 , pp. 130-147
    • Narayanam, R.1    Narahari, Y.2
  • 44
    • 79961088503 scopus 로고    scopus 로고
    • Locally optimal heuristic for modularity maximization of networks
    • Cafieri S, Hansen P, Liberti L, (2011) Locally optimal heuristic for modularity maximization of networks. Phys Rev E 83: 056105.
    • (2011) Phys Rev E , vol.83 , pp. 056105
    • Cafieri, S.1    Hansen, P.2    Liberti, L.3
  • 45
    • 4243128193 scopus 로고    scopus 로고
    • On clusterings: Good, bad and spectral
    • Kannan R, Vempala S, Vetta A, (2004) On clusterings: Good, bad and spectral. J ACM 51: 497-515.
    • (2004) J ACM , vol.51 , pp. 497-515
    • Kannan, R.1    Vempala, S.2    Vetta, A.3
  • 46
    • 4544324641 scopus 로고    scopus 로고
    • Topology of the world trade web
    • Serrano MA, Boguñá M, (2003) Topology of the world trade web. Phys Rev E 68: 015101.
    • (2003) Phys Rev E , vol.68 , pp. 015101
    • Serrano, M.A.1    Boguñá, M.2
  • 47
    • 21544444193 scopus 로고    scopus 로고
    • Structure and evolution of the world trade network
    • Garlaschelli D, Loffredo MI, (2005) Structure and evolution of the world trade network. Physica A 335: 138-144.
    • (2005) Physica A , vol.335 , pp. 138-144
    • Garlaschelli, D.1    Loffredo, M.I.2
  • 48
    • 42649131056 scopus 로고    scopus 로고
    • On the topological properties of the world trade web: a weighted network analysis
    • Fagiolo G, Reyez J, Schiavo S, (2008) On the topological properties of the world trade web: a weighted network analysis. Physica A 387: 3868-3873.
    • (2008) Physica A , vol.387 , pp. 3868-3873
    • Fagiolo, G.1    Reyez, J.2    Schiavo, S.3
  • 49
    • 78149287266 scopus 로고    scopus 로고
    • Structure and response in the world trade network
    • He J, Deem MW, (2010) Structure and response in the world trade network. Phys Rev Lett 105: 198701.
    • (2010) Phys Rev Lett , vol.105 , pp. 198701
    • He, J.1    Deem, M.W.2
  • 50
    • 79953307218 scopus 로고    scopus 로고
    • Identifying the community structure of the international-trade multi-network
    • Barigozzi M, Fagiolo G, Mangioni G, (2011) Identifying the community structure of the international-trade multi-network. Physica A 390: 2051-2066.
    • (2011) Physica A , vol.390 , pp. 2051-2066
    • Barigozzi, M.1    Fagiolo, G.2    Mangioni, G.3
  • 52
    • 46149083017 scopus 로고    scopus 로고
    • Optimal partition and effective dynamics of complex networks
    • Weinan E, Li T, Vanden-Eijnden E, (2008) Optimal partition and effective dynamics of complex networks. Proc Natl Acad Sci USA 105: 7907-7912.
    • (2008) Proc Natl Acad Sci USA , vol.105 , pp. 7907-7912
    • Weinan, E.1    Li, T.2    Vanden-Eijnden, E.3
  • 53
    • 20444504323 scopus 로고    scopus 로고
    • Uncovering the overlapping community structure of complex networks in nature and society
    • Palla G, Derenyi I, Farkas I, Vicsek T, (2005) Uncovering the overlapping community structure of complex networks in nature and society. Nature 435: 814-818.
    • (2005) Nature , vol.435 , pp. 814-818
    • Palla, G.1    Derenyi, I.2    Farkas, I.3    Vicsek, T.4
  • 54
    • 64549145094 scopus 로고    scopus 로고
    • Detecting the overlapping and hierarchical community structure in complex networks
    • Lancichinetti A, Fortunato S, Kertesz J, (2009) Detecting the overlapping and hierarchical community structure in complex networks. New J Phys 11: 033015.
    • (2009) New J Phys , vol.11 , pp. 033015
    • Lancichinetti, A.1    Fortunato, S.2    Kertesz, J.3
  • 55
    • 70349599214 scopus 로고    scopus 로고
    • Dynamic communities in multichannel data: An application to the foreign exchange market during the 2007-2008 credit crisis
    • Fenn DJ, Porter MA, McDonald M, Williams S, Johnson NF, et al. (2009) Dynamic communities in multichannel data: An application to the foreign exchange market during the 2007-2008 credit crisis. Chaos 19: 033119.
    • (2009) Chaos , vol.19 , pp. 033119
    • Fenn, D.J.1    Porter, M.A.2    McDonald, M.3    Williams, S.4    Johnson, N.F.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.