A theory for the connectivity discovered by routing protocols

  • Authors:
  • João Luís Sobrinho;Tiago Quelhas

  • Affiliations:
  • Instituto de Telecomunicações and Instituto Superior Técnico, Lisbon, Portugal;Instituto de Telecomunicações and Instituto Superior Técnico, Lisbon, Portugal

  • Venue:
  • IEEE/ACM Transactions on Networking (TON)
  • Year:
  • 2012

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Abstract

Route-vector protocols, such as the Border Gateway Protocol (BGP), have nodes elect and exchange routes in order to discover paths over which to send traffic. We ask the following: What is the minimum number of links whose failure prevents a route-vector protocol from finding such paths? The answer is not obvious because routing policies prohibit some paths from carrying traffic and because, on top of that, a route-vector protocol may hide paths the routing policies would allow. We develop an algebraic theory to address the above and related questions. In particular, we characterize a broad class of routing policies for which we can compute in polynomial time the minimum number of links whose failure leaves a route-vector protocol without a communication path from one given node to another. The theory is applied to a publicly available description of the Internet topology to quantify how much of its intrinsic connectivity is lost due to the traditional customer-provider, peer-peer routing policies and how much can be regained with simple alternative policies.