DOI: 10.1038/nphys1746. Identification of influential spreaders in complex networks

Identification of influential spreaders in complex networks

10.1038/nphys1746

Crossref journal-article

Springer Science and Business Media LLC

Nature Physics (297)

Bibliography

Kitsak, M., Gallos, L. K., Havlin, S., Liljeros, F., Muchnik, L., Stanley, H. E., & Makse, H. A. (2010). Identification of influential spreaders in complex networks. Nature Physics, 6(11), 888â893.

Authors 7

Maksim Kitsak (first)
Lazaros K. Gallos (additional)
Shlomo Havlin (additional)
Fredrik Liljeros (additional)
Lev Muchnik (additional)
H. Eugene Stanley (additional)
Hernán A. Makse (additional)

References 29 Referenced 2,615

Caldarelli, G. & Vespignani, A. (eds) Large Scale Structure and Dynamics of Complex Networks (World Scientific, 2007). (10.1142/6455)
Anderson, R. M., May, R. M. & Anderson, B. Infectious Diseases of Humans: Dynamics and Control (Oxford Science Publications, 1992). / Infectious Diseases of Humans: Dynamics and Control by RM Anderson (1992)
Diekmann, O. & Heesterbeek, J. A. P. Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation (Wiley Series in Mathematical & Computational Biology, 2000). / Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation by O Diekmann (2000)
Keeling, M. J. & Rohani, P. Modeling Infectious Diseases in Humans and Animals (Princeton Univ. Press, 2008). (10.1515/9781400841035) / Modeling Infectious Diseases in Humans and Animals by MJ Keeling (2008)
Rogers, E. M. Diffusion of Innovation 4th edn (Free Press, 1995). / Diffusion of Innovation by EM Rogers (1995)
Albert, R., Jeong, H. & Barabási, A-L. Error and attack tolerance of complex networks. Nature 406, 378–482 (2000). (10.1038/35019019) / Nature by R Albert (2000)
Pastor-Satorras, R. & Vespignani, A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86, 3200–3203 (2001). (10.1103/PhysRevLett.86.3200) / Phys. Rev. Lett. by R Pastor-Satorras (2001)
Cohen, R., Erez, K., ben-Avraham, D. & Havlin, S. Breakdown of the Internet under intentional attack. Phys. Rev. Lett. 86, 3682–3685 (2001). (10.1103/PhysRevLett.86.3682) / Phys. Rev. Lett. by R Cohen (2001)
Freeman, L. C. Centrality in social networks: Conceptual clarification. Social Networks 1, 215–239 (1979). (10.1016/0378-8733(78)90021-7) / Social Networks by LC Freeman (1979)
Friedkin, N. E. Theoretical foundations for centrality measures. Am. J. Sociology 96, 1478–1504 (1991). (10.1086/229694) / Am. J. Sociology by NE Friedkin (1991)
Bollobás, B. Graph Theory and Combinatorics: Proceedings of the Cambridge Combinatorial Conference in Honor of P. Erdös Vol. 35 (Academic, 1984). / Graph Theory and Combinatorics: Proceedings of the Cambridge Combinatorial Conference in Honor of P. Erdös Vol. 35 by B Bollobás (1984)
Seidman, S. B. Network structure and minimum degree. Social Networks 5, 269–287 (1983). (10.1016/0378-8733(83)90028-X) / Social Networks by SB Seidman (1983)
Carmi, S., Havlin, S, Kirkpatrick, S., Shavitt, Y. & Shir, E. A model of Internet topology using k-shell decomposition. Proc. Natl Acad. Sci. USA 104, 11150–11154 (2007). (10.1073/pnas.0701175104) / Proc. Natl Acad. Sci. USA by S Carmi (2007)
Ángeles-Serrano, M. & Boguñá, M. Clustering in complex networks. II. Percolation properties. Phys. Rev. E 74, 056116 (2006). (10.1103/PhysRevE.74.056116) / Phys. Rev. E by M Ángeles-Serrano (2006)
LiveJournal, http://www.livejournal.com.
Liljeros, F., Giesecke, J. & Holme, P. The contact network of inpatients in a regional healthcare system. A longitudinal case study. Math. Population Studies 14, 269–284 (2007). (10.1080/08898480701612899) / Math. Population Studies by F Liljeros (2007)
The Internet Movie Database, http://www.imdb.com.
Hethcote, H. W. The mathematics of infectious diseases. SIAM Rev. 42, 599–653 (2000). (10.1137/S0036144500371907) / SIAM Rev. by HW Hethcote (2000)
Castellano, C., Fortunato, S. & Loretto, V. Statistical Physics of Social Dynamics. Rev. Mod. Phys. 81, 591–646 (2009). (10.1103/RevModPhys.81.591) / Rev. Mod. Phys. by C Castellano (2009)
Shavitt, Y. & Shir, E. DIMES: Let the internet measure itself. ACM SIGCOMM Comput. Commun. Rev. 35, 71–74 (2005). (10.1145/1096536.1096546) / ACM SIGCOMM Comput. Commun. Rev. by Y Shavitt (2005)
Molloy, M. & Reed, B. A critical point for random graphs with a given degree sequence. Random Struct. Algorithms 6, 161–180 (1995). (10.1002/rsa.3240060204) / Random Struct. Algorithms by M Molloy (1995)
Hidalgo, C. A., Klinger, B., Barabasi, A-L. & Hausmann, R. The product space conditions the development of nations. Science 317, 482–487 (2007). (10.1126/science.1144581) / Science by CA Hidalgo (2007)
Hethcote, H. & Rogers, J. A. Gonorrhea Transmission Dynamics and Control (Springer-Verlag, 1984). (10.1007/978-3-662-07544-9) / Gonorrhea Transmission Dynamics and Control by H Hethcote (1984)
Pastor-Satorras, R. & Vespignani, A. Immunization of complex networks. Phys. Rev. E 65, 036104 (2002). (10.1103/PhysRevE.65.036104) / Phys. Rev. E by R Pastor-Satorras (2002)
Dezsó, Z. & Barabási, A-L. Halting viruses in scale-free networks. Phys. Rev. E 65, 055103 (2002). (10.1103/PhysRevE.65.055103) / Phys. Rev. E by Z Dezsó (2002)
Cohen, R., Erez, K., ben-Avraham, D. & Havlin, S. Resilience of the Internet to random breakdowns. Phys. Rev. Lett. 85, 4626–4630 (2000). (10.1103/PhysRevLett.85.4626) / Phys. Rev. Lett. by R Cohen (2000)
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Alvarez-Hamelin, J. I., Dallásta, L., Barrat, A. & Vespignani, A. Large scale networks fingerprinting and visualization using the k-core decomposition. Adv. Neural Inform. Process. Systems 18, 41–51 (2006). / Adv. Neural Inform. Process. Systems by JI Alvarez-Hamelin (2006)

Dates

Type	When
Created	14 years, 11 months ago (Aug. 29, 2010, 1:58 p.m.)
Deposited	4 months, 2 weeks ago (April 11, 2025, 4:35 a.m.)
Indexed	1 day, 14 hours ago (Aug. 23, 2025, 9:31 p.m.)
Issued	14 years, 11 months ago (Aug. 29, 2010)
Published	14 years, 11 months ago (Aug. 29, 2010)
Published Online	14 years, 11 months ago (Aug. 29, 2010)
Published Print	14 years, 9 months ago (Nov. 1, 2010)

Funders 0

None

BibTeX

@article{Kitsak_2010, title={Identification of influential spreaders in complex networks}, volume={6}, ISSN={1745-2481}, url={http://dx.doi.org/10.1038/nphys1746}, DOI={10.1038/nphys1746}, number={11}, journal={Nature Physics}, publisher={Springer Science and Business Media LLC}, author={Kitsak, Maksim and Gallos, Lazaros K. and Havlin, Shlomo and Liljeros, Fredrik and Muchnik, Lev and Stanley, H. Eugene and Makse, Hernán A.}, year={2010}, month=aug, pages={888–893} }

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  "relation": {},
  "ISSN": [
    "1745-2473",
    "1745-2481"
  ],
  "subject": [],
  "container-title-short": "Nature Phys",
  "published": {
    "date-parts": [
      [
        2010,
        8,
        29
      ]
    ]
  },
  "assertion": [
    {
      "value": "21 January 2010",
      "order": 1,
      "name": "received",
      "label": "Received",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "7 July 2010",
      "order": 2,
      "name": "accepted",
      "label": "Accepted",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "29 August 2010",
      "order": 3,
      "name": "first_online",
      "label": "First Online",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "The authors declare no competing financial interests.",
      "order": 1,
      "name": "Ethics",
      "group": {
        "name": "EthicsHeading",
        "label": "Competing interests"
      }
    }
  ]
}