Encyclopedia of Algorithms

2016 Edition
| Editors: Ming-Yang Kao

Locality in Distributed Graph Algorithms

  • Pierre FraigniaudEmail author
Reference work entry
DOI: https://doi.org/10.1007/978-1-4939-2864-4_608

Years and Authors of Summarized Original Work

  • 1992; Linial

  • 1995; Naor, Stockmeyer

  • 2013; Fraigniaud, Korman, Peleg

Problem Definition

In the context of distributed network computing, an important concern is the ability to design local algorithms, that is, distributed algorithms in which every node (Each node is a computing entity, which has the ability to exchange messages with its neighbors in the network along its communication links.) of the network can deliver its result after having consulted only nodes in its vicinity. The word “vicinity” has a rather vague interpretation in general. Nevertheless, the objective is commonly to design algorithms in which every node outputs after having exchanged information with nodes at constant distance from it (i.e., at distance independent of the number of nodes n in the networks) or at distance at most polylogarithmic in n, but certainly significantly smaller than n or than the diameter of the network.

The tasksto be solved by distributed...

Keywords

Coloring Distributed computing Maximal independent set Network computing 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Laboratoire d’Informatique Algorithmique: Fondements et Applications, CNRS and University Paris DiderotParisFrance