Weighted spectral distribution for internet topology analysis: Theory and applications

Damien Fay, Hamed Haddadi, Andrew Thomason, Andrew W. Moore, Richard Mortier, Almerima Jamakovic, Steve Uhlig, Miguel Rio

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

Comparing graphs to determine the level of underlying structural similarity between them is a widely encountered problem in computer science. It is particularly relevant to the study of Internet topologies, such as the generation of synthetic topologies to represent the Internet's AS topology. We derive a new metric that enables exactly such a structural comparison: the weighted spectral distribution. We then apply this metric to three aspects of the study of the Internet's AS topology. i) We use it to quantify the effect of changing the mixing properties of a simple synthetic network generator. ii) We use this quantitative understanding to examine the evolution of the Internet's AS topology over approximately seven years, finding that the distinction between the Internet core and periphery has blurred over time. iii) We use the metric to derive optimal parameterizations of several widely used AS topology generators with respect to a large-scale measurement of the real AS topology.

Original languageEnglish
Article number5233839
Pages (from-to)164-176
Number of pages13
JournalIEEE/ACM Transactions on Networking
Volume18
Issue number1
DOIs
Publication statusPublished - 1 Feb 2010
Externally publishedYes

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Topology
Internet
Parameterization
Computer science

Keywords

  • Graph metrics
  • Internet topology
  • Spectral graph theory
  • Topology generation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Software
  • Computer Science Applications
  • Computer Networks and Communications

Cite this

Fay, D., Haddadi, H., Thomason, A., Moore, A. W., Mortier, R., Jamakovic, A., ... Rio, M. (2010). Weighted spectral distribution for internet topology analysis: Theory and applications. IEEE/ACM Transactions on Networking, 18(1), 164-176. [5233839]. https://doi.org/10.1109/TNET.2009.2022369

Weighted spectral distribution for internet topology analysis : Theory and applications. / Fay, Damien; Haddadi, Hamed; Thomason, Andrew; Moore, Andrew W.; Mortier, Richard; Jamakovic, Almerima; Uhlig, Steve; Rio, Miguel.

In: IEEE/ACM Transactions on Networking, Vol. 18, No. 1, 5233839, 01.02.2010, p. 164-176.

Research output: Contribution to journalArticle

Fay, D, Haddadi, H, Thomason, A, Moore, AW, Mortier, R, Jamakovic, A, Uhlig, S & Rio, M 2010, 'Weighted spectral distribution for internet topology analysis: Theory and applications', IEEE/ACM Transactions on Networking, vol. 18, no. 1, 5233839, pp. 164-176. https://doi.org/10.1109/TNET.2009.2022369
Fay D, Haddadi H, Thomason A, Moore AW, Mortier R, Jamakovic A et al. Weighted spectral distribution for internet topology analysis: Theory and applications. IEEE/ACM Transactions on Networking. 2010 Feb 1;18(1):164-176. 5233839. https://doi.org/10.1109/TNET.2009.2022369
Fay, Damien ; Haddadi, Hamed ; Thomason, Andrew ; Moore, Andrew W. ; Mortier, Richard ; Jamakovic, Almerima ; Uhlig, Steve ; Rio, Miguel. / Weighted spectral distribution for internet topology analysis : Theory and applications. In: IEEE/ACM Transactions on Networking. 2010 ; Vol. 18, No. 1. pp. 164-176.
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