Notions of connectivity in overlay networks

Yuval Emek, Pierre Fraigniaud, Amos Korman, Shay Kutten, David Peleg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


"How well connected is the network?" This is one of the most fundamental questions one would ask when facing the challenge of designing a communication network. Three major notions of connectivity have been considered in the literature, but in the context of traditional (single-layer) networks, they turn out to be equivalent. This paper introduces a model for studying the three notions of connectivity in multi-layer networks. Using this model, it is easy to demonstrate that in multi-layer networks the three notions may differ dramatically. Unfortunately, in contrast to the single-layer case, where the values of the three connectivity notions can be computed efficiently, it has been recently shown in the context of WDM networks (results that can be easily translated to our model) that the values of two of these notions of connectivity are hard to compute or even approximate in multi-layer networks. The current paper shed some positive light into the multi-layer connectivity topic: we show that the value of the third connectivity notion can be computed in polynomial time and develop an approximation for the construction of well connected overlay networks.

Original languageEnglish
Title of host publicationStructural Information and Communication Complexity - 19th International Colloquium, SIROCCO 2012, Proceedings
Number of pages11
StatePublished - 2012
Externally publishedYes
Event19th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2012 - Reykjavik, Iceland
Duration: 30 Jun 20122 Jul 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7355 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference19th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2012


  • approximation
  • connectivity
  • graph theory
  • Overlay networks

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science


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