The degree and connectivity of Internet's scale-free topology

@article{Zhang2011TheDA,
  title={The degree and connectivity of Internet's scale-free topology},
  author={Lianming Zhang and Xiaoheng Deng and Jianping Yu and Xiangsheng Wu},
  journal={ArXiv},
  year={2011},
  volume={abs/1101.4285}
}
In this paper we theoretically and empirically study the degree and connectivity of the Internet's scale-free topology at the autonomous system (AS) level. The basic features of the scale-free network have influence on the normalization constant of the degree distribution p(k). We develop a mathematics model of the Internet's scale-free topology. On this model we theoretically get the formulas of the average degree, the ratios of the kmin-degree (minimum degree) nodes and the kmax-degree… 

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References

SHOWING 1-10 OF 35 REFERENCES
Complex Dynamics in Communication Networks
TLDR
This paper presents a local-World model for the Complex Topology of the Internet and describes the Chaotic Phenomena of TCP and its Implications to Network Performance.
Nature
  • R. Rosenfeld
  • Medicine
    Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
SIAM Review
  • SIAM Review
  • 2009
Computer engineering and applications 46
  • Computer engineering and applications 46
  • 2010
Europhys. Lett
  • Europhys. Lett
  • 2002
Proceedings of 18th Sitges Conference on Statistical Mechanics: Statistical Mechanics of Complex Networks
  • Proceedings of 18th Sitges Conference on Statistical Mechanics: Statistical Mechanics of Complex Networks
  • 2002
Phys. Rev. E
  • Phys. Rev. E
  • 2002
SIGCOMM Comput. Commun. Rev
  • SIGCOMM Comput. Commun. Rev
  • 1999
Automatica
  • Automatica
  • 2009
...
...