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Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure.

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  • Additional Information
    • Author-Supplied Keywords:
      Preferential attachment
      Random graphs
      Scale-free graphs
    • Abstract:
      We extend the classical Barabási-Albert preferential attachment procedure to graphs with internal vertex structure given by weights of vertices. In our model, weight dynamics depends on the current vertex degree distribution and the preferential attachment procedure takes into account both weights and degrees of vertices. We prove that such a coupled dynamics leads to scale-free graphs with exponents depending on parameters of the weight dynamics. [ABSTRACT FROM AUTHOR]
    • Abstract:
      Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
    • Author Affiliations:
      1School of Engineering and Applied Science, Department of Industrial Engineering and Operations Research, Columbia University, 500 W 120th Street New York 10027 USA
      2Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18 87-100 Toruń Poland
      3Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2 02-097 Warsaw Poland
    • ISSN:
      0022-4715
    • Accession Number:
      10.1007/s10955-013-0749-1
    • Accession Number:
      87516463
  • Citations
    • ABNT:
      CHOROMAŃSKI, K.; MATUSZAK, M.; MIȨKISZ, J. Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure. Journal of Statistical Physics, [s. l.], v. 151, n. 6, p. 1175–1183, 2013. DOI 10.1007/s10955-013-0749-1. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asn&AN=87516463&custid=s8280428. Acesso em: 8 jul. 2020.
    • AMA:
      Choromański K, Matuszak M, Miȩkisz J. Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure. Journal of Statistical Physics. 2013;151(6):1175-1183. doi:10.1007/s10955-013-0749-1.
    • AMA11:
      Choromański K, Matuszak M, Miȩkisz J. Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure. Journal of Statistical Physics. 2013;151(6):1175-1183. doi:10.1007/s10955-013-0749-1
    • APA:
      Choromański, K., Matuszak, M., & Miȩkisz, J. (2013). Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure. Journal of Statistical Physics, 151(6), 1175–1183. https://doi.org/10.1007/s10955-013-0749-1
    • Chicago/Turabian: Author-Date:
      Choromański, Krzysztof, Michał Matuszak, and Jacek Miȩkisz. 2013. “Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure.” Journal of Statistical Physics 151 (6): 1175–83. doi:10.1007/s10955-013-0749-1.
    • Harvard:
      Choromański, K., Matuszak, M. and Miȩkisz, J. (2013) ‘Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure’, Journal of Statistical Physics, 151(6), pp. 1175–1183. doi: 10.1007/s10955-013-0749-1.
    • Harvard: Australian:
      Choromański, K, Matuszak, M & Miȩkisz, J 2013, ‘Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure’, Journal of Statistical Physics, vol. 151, no. 6, pp. 1175–1183, viewed 8 July 2020, .
    • MLA:
      Choromański, Krzysztof, et al. “Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure.” Journal of Statistical Physics, vol. 151, no. 6, June 2013, pp. 1175–1183. EBSCOhost, doi:10.1007/s10955-013-0749-1.
    • Chicago/Turabian: Humanities:
      Choromański, Krzysztof, Michał Matuszak, and Jacek Miȩkisz. “Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure.” Journal of Statistical Physics 151, no. 6 (June 15, 2013): 1175–83. doi:10.1007/s10955-013-0749-1.
    • Vancouver/ICMJE:
      Choromański K, Matuszak M, Miȩkisz J. Scale-Free Graph with Preferential Attachment and Evolving Internal Vertex Structure. Journal of Statistical Physics [Internet]. 2013 Jun 15 [cited 2020 Jul 8];151(6):1175–83. Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asn&AN=87516463&custid=s8280428