Brief announcement: On augmented graph navigability

Pierre Fraigniaud, Emmanuelle Lebhar, Zvi Lotker

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

    Abstract

    It is known that graphs of doubling dimension O(log log n) can be augmented to become navigable. We show that for doubling dimension ≫ log log n, an infinite family of graphs cannot be augmented to become navigable. Our proof uses a counting argument which enable us to consider any kind of augmentations. In particular we do not restrict our analysis to the case of symmetric distributions, nor to distributions for which the choice of the long range link at a node must be independent from the choices of long range links at other nodes.

    Original languageEnglish
    Title of host publicationDistributed Computing - 20th International Symposium, DISC 2006, Proceedings
    PublisherSpringer Verlag
    Pages551-553
    Number of pages3
    ISBN (Electronic)978-3-540-44627-9
    ISBN (Print)3540446249, 9783540446248
    DOIs
    StatePublished - 1 Jan 2006
    Event20th International Symposium on Distributed Computing, DISC 2006 - Stockholm, Sweden
    Duration: 18 Sep 200620 Sep 2006

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume4167 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference20th International Symposium on Distributed Computing, DISC 2006
    Country/TerritorySweden
    CityStockholm
    Period18/09/0620/09/06

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • General Computer Science

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