Notions of Connectivity in Overlay Networks

• Main Authors: Fraigniaud, Pierre, Korman, Amos, Kutten, Shay, Peleg, David, Yuval, Emek
• Other Authors: Laboratoire d'informatique Algorithmique : Fondements et Applications (LIAFA), Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Networks, Graphs and Algorithms (GANG), Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Technion - Israel Institute of Technology Haifa, Weizmann Institute of Science Rehovot, Israël
• Format: Conference Object
• Language: English
• Published: HAL CCSD 2012
• Subjects: [INFO.INFO-DC]Computer Science [cs]/Distributed; Parallel; and Cluster Computing [cs.DC]; Iceland
• Online Access: https://hal.inria.fr/hal-01241098; https://hal.inria.fr/hal-01241098/document; https://hal.inria.fr/hal-01241098/file/overlay-sub-sirocco-new.pdf; https://doi.org/10.1007/978-3-642-31104-8_3

International audience " 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.