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Understanding and modeling the internet topology: economics and evolution perspective

Published: 01 February 2010 Publication History

Abstract

In this paper, we seek to understand the intrinsic reasons for the well-known phenomenon of heavy-tailed degree in the Internet AS graph and argue that in contrast to traditional models based on preferential attachment and centralized optimization, the Pareto degree of the Internet can be explained by the evolution of wealth associated with each ISP. The proposed topology model utilizes a simple multiplicative stochastic process that determines each ISP's wealth at different points in time and several "maintenance" rules that keep the degree of each node proportional to its wealth. Actual link formation is determined in a decentralized fashion based on random walks, where each ISP individually decides when and how to increase its degree. Simulations show that the proposed model, which we call Wealth-based Internet Topology (WIT), produces scale-free random graphs with tunable exponent α and high clustering coefficients (between 0.35 and 0.5) that stay invariant as the size of the graph increases. This evolution closely mimics that of the Internet observed since 1997.

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      Published In

      cover image IEEE/ACM Transactions on Networking
      IEEE/ACM Transactions on Networking  Volume 18, Issue 1
      February 2010
      332 pages

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      IEEE Press

      Publication History

      Published: 01 February 2010
      Revised: 03 October 2007
      Received: 30 March 2006
      Published in TON Volume 18, Issue 1

      Author Tags

      1. autonomous systems
      2. clustering coefficient
      3. degree distribution
      4. internet topology
      5. random walk
      6. wealth evolution

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