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Scaling properties of the Internet graph

Published: 13 July 2003 Publication History

Abstract

As the Internet grows in size, it becomes crucial to understand how the speeds of links in the network must improve in order to sustain the pressure of new end-nodes being added each day. Although the speeds of links in the core and at the edges roughly improve according to Moore's law, this improvement alone might not be enough. Indeed, the structure of the Internet graph and routing in the network might necessitate much faster improvements in the speeds of key links in the network.In this paper, using a combination of analysis and extensive simulations, we show that the worst congestion in the Internet in fact scales poorly with the network size (n1+Ω(1), where n is the number of nodes), when shortest-path routing is used. We also show, somewhat surprisingly, that policy-based routing does not exacerbate the maximum congestion when compared to shortest-path routing.Our results show that it is crucial to identify ways to alleviate this congestion to avoid some links from being perpetually congested. To this end, we show that the congestion scaling properties of the Internet graph can be improved dramatically by introducing moderate amounts of redundancy in the graph in terms of parallel edges between pairs of adjacent nodes.

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cover image ACM Conferences
PODC '03: Proceedings of the twenty-second annual symposium on Principles of distributed computing
July 2003
380 pages
ISBN:1581137087
DOI:10.1145/872035
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 13 July 2003

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Author Tags

  1. congestion
  2. policy routing
  3. power-law distribution
  4. shortest path routing

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PODC '03 Paper Acceptance Rate 51 of 226 submissions, 23%;
Overall Acceptance Rate 740 of 2,477 submissions, 30%

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