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Volumn 80, Issue 1, 2009, Pages

Benchmarks for testing community detection algorithms on directed and weighted graphs with overlapping communities

Author keywords

[No Author keywords available]

Indexed keywords

BASIC IDEA; COMMUNITY DETECTION ALGORITHMS; COMMUNITY SIZE; COMMUNITY STRUCTURES; COMPLEX NETWORKS; GENERAL CLASS; HETEROGENEOUS DISTRIBUTIONS; MESOSCOPIC STRUCTURE; NODE DEGREE; OVERLAPPING COMMUNITIES; REAL SYSTEMS; SOCIAL NETWORKS; WEIGHTED GRAPH; WEIGHTED NETWORKS;

EID: 68949111730     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.016118     Document Type: Article
Times cited : (925)

References (32)
  • 2
    • 0038718854 scopus 로고    scopus 로고
    • 10.1137/S003614450342480
    • M. E. J. Newman, SIAM Rev. 45, 167 (2003). 10.1137/S003614450342480
    • (2003) SIAM Rev. , vol.45 , pp. 167
    • Newman, M.E.J.1
  • 3
    • 31344474880 scopus 로고    scopus 로고
    • Complex networks: Structure and dynamics
    • DOI 10.1016/j.physrep.2005.10.009, PII S037015730500462X
    • S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). 10.1016/j.physrep.2005.10.009 (Pubitemid 43135890)
    • (2006) Physics Reports , vol.424 , Issue.4-5 , pp. 175-308
    • Boccaletti, S.1    Latora, V.2    Moreno, Y.3    Chavez, M.4    Hwang, D.-U.5
  • 5
    • 68949118446 scopus 로고    scopus 로고
    • arXiv:0906.0612.
    • S. Fortunato, e-print arXiv:0906.0612.
    • Fortunato, S.1
  • 8
    • 14644396645 scopus 로고    scopus 로고
    • Functional cartography of complex metabolic networks
    • DOI 10.1038/nature03288
    • R. Guimerà and L. A. Nunes Amaral, Nature (London) 433, 895 (2005). 10.1038/nature03288 (Pubitemid 40314902)
    • (2005) Nature , vol.433 , Issue.7028 , pp. 895-900
    • Guimera, R.1    Amaral, L.A.N.2
  • 9
    • 20444504323 scopus 로고    scopus 로고
    • Uncovering the overlapping community structure of complex networks in nature and society
    • DOI 10.1038/nature03607
    • G. Palla, I. Derényi, I. Farkas, and T. Vicsek, Nature (London) 435, 814 (2005). 10.1038/nature03607 (Pubitemid 40839731)
    • (2005) Nature , vol.435 , Issue.7043 , pp. 814-818
    • Palla, G.1    Derenyi, I.2    Farkas, I.3    Vicsek, T.4
  • 10
    • 0035580899 scopus 로고    scopus 로고
    • 10.1002/1098-2418(200103)18:2<116::AID-RSA1001>3.0.CO;2-2
    • A. Condon and R. M. Karp, Random Struct. Algorithms 18, 116 (2001). 10.1002/1098-2418(200103)18:2<116::AID-RSA1001>3.0.CO;2-2
    • (2001) Random Struct. Algorithms , vol.18 , pp. 116
    • Condon, A.1    Karp, R.M.2
  • 11
    • 0033539175 scopus 로고    scopus 로고
    • Diameter of the world-wide web
    • DOI 10.1038/43601
    • R. Albert, H. Jeong, and A.-L. Barabási, Nature (London) 401, 130 (1999). 10.1038/43601 (Pubitemid 29436307)
    • (1999) Nature , vol.401 , Issue.6749 , pp. 130-131
    • Albert, R.1    Jeong, H.2    Barabasi, A.-L.3
  • 17
    • 41449087415 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.100.118703
    • E. A. Leicht and M. E. J. Newman, Phys. Rev. Lett. 100, 118703 (2008). 10.1103/PhysRevLett.100.118703
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 118703
    • Leicht, E.A.1    Newman, M.E.J.2
  • 23
    • 42749100809 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.69.066133
    • M. E. J. Newman, Phys. Rev. E 69, 066133 (2004). 10.1103/PhysRevE.69. 066133
    • (2004) Phys. Rev. e , vol.69 , pp. 066133
    • Newman, M.E.J.1
  • 24
    • 34547333419 scopus 로고    scopus 로고
    • Size reduction of complex networks preserving modularity
    • DOI 10.1088/1367-2630/9/6/176, PII S1367263007434462
    • A. Arenas, J. Duch, A. Fernández, and S. Gómez, New J. Phys. 9, 176 (2007). 10.1088/1367-2630/9/6/176 (Pubitemid 47146379)
    • (2007) New Journal of Physics , vol.9 , pp. 176
    • Arenas, A.1    Duch, J.2    Fernandez, A.3    Gomez, S.4
  • 25
    • 68949149587 scopus 로고    scopus 로고
    • We stress that, since the exponent τ1 can be arbitrarily chosen, in the limit of large τ1 one converges to a δ function, so all nodes have the same degree. The same holds for the distribution of community sizes, which is characterized as well by a tunable power-law exponent τ2. Therefore, our benchmark is a true generalization of the benchmark by Girvan and Newman, which is recovered in the limit where the exponents are infinitely large.
    • We stress that, since the exponent τ1 can be arbitrarily chosen, in the limit of large τ1 one converges to a δ function, so all nodes have the same degree. The same holds for the distribution of community sizes, which is characterized as well by a tunable power-law exponent τ2. Therefore, our benchmark is a true generalization of the benchmark by Girvan and Newman, which is recovered in the limit where the exponents are infinitely large.
  • 28
    • 41549155495 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.77.036122
    • J. J. Ramasco and M. Mungan, Phys. Rev. E 77, 036122 (2008). 10.1103/PhysRevE.77.036122
    • (2008) Phys. Rev. e , vol.77 , pp. 036122
    • Ramasco, J.J.1    Mungan, M.2
  • 31
    • 33947156744 scopus 로고    scopus 로고
    • 10.1016/j.jmva.2006.11.013
    • M. Meilǎ, J. Multivariate Anal. 98, 873 (2007). 10.1016/j.jmva.2006.11.013
    • (2007) J. Multivariate Anal. , vol.98 , pp. 873
    • Meilǎ, M.1
  • 32
    • 68949129541 scopus 로고    scopus 로고
    • The packages can be found in
    • The packages can be found in http://santo.fortunato.googlepages.com/ inthepress2. In each package there are instruction files that enable to easily operate the software.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.