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A star-based model for the eigenvalue power law of Internet graphs

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  • Comellas, Francesc
  • Gago, Silvia

Abstract

Using a simple deterministic model for the Internet graph we show that the eigenvalue power-law distribution for its adjacency matrix is a direct consequence of the degree distribution and that the graph must contain many star subgraphs.

Suggested Citation

  • Comellas, Francesc & Gago, Silvia, 2005. "A star-based model for the eigenvalue power law of Internet graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 680-686.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:2:p:680-686
    DOI: 10.1016/j.physa.2005.01.003
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    References listed on IDEAS

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    1. Comellas, Francesc & Sampels, Michael, 2002. "Deterministic small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 309(1), pages 231-235.
    2. Barabási, Albert-László & Ravasz, Erzsébet & Vicsek, Tamás, 2001. "Deterministic scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(3), pages 559-564.
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