Bounding the locality of distributed routing algorithms

Prosenjit Bose, Paz Carmi, Stephane Durocher

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We examine bounds on the locality of routing. A local routing algorithm makes a sequence of distributed forwarding decisions, each of which is made using only local information. Specifically, in addition to knowing the node for which a message is destined, an intermediate node might also know (1) its local neighbourhood (the subgraph corresponding to all network nodes within k hops of itself, for some fixed k), (2) the node from which the message originated, and (3) the incoming port (which of its neighbours last forwarded the message). Our objective is to determine, as k varies, which of these parameters are necessary and/or sufficient to permit local routing on a network modelled by a connected undirected graph. In particular, we establish tight bounds on k for the feasibility of deterministic k-local routing for various combinations of these parameters, as well as corresponding bounds on dilation (the worst-case ratio of actual route length to shortest path length).

Original languageEnglish
Pages (from-to)39-58
Number of pages20
JournalDistributed Computing
Volume26
Issue number1
DOIs
StatePublished - 1 Feb 2013

Keywords

  • Dilation
  • Distributed algorithms
  • Local routing

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