Dynamic routing and location services in metrics of low doubling dimension

Goran Konjevod, Andrea Richa, Donglin Xia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Abstract

We consider dynamic compact routing in metrics of low doubling dimension. Given a set of nodes V in a metric space with nodes joining, leaving and moving, we show how to maintain a set of links E that allows compact routing on the graph G(V, E). Given a constant ε ∈ (0, 1) and a dynamic node set V with normalized diameter Δ in a metric of doubling dimension α ∈ O(loglog Δ), we achieve a dynamic graph G(V, E) with maximum degree 2O(α) log2 Δ, and an optimal (9 + ε)-stretch compact name-independent routing scheme on G with (1/ε) O(α)log4 Δ-bit storage at each node. Moreover, the amortized number of messages for a node joining, leaving and moving is polylogarithmic in the normalized diameter Δ; and the cost (total distance traversed by all messages generated) of a node move operation is proportional to the distance the node has traveled times a polylog factor. (We can also show similar bounds for a (1 + ε)-stretch compact dynamic labeled routing scheme.) One important application of our scheme is that it also provides a node location scheme for mobile ad-hoc networks with the same characteristics as our name-independent scheme above, namely optimal (9 + ε) stretch for lookup, polylogarithmic storage overhead (and degree) at the nodes, and locality-sensitive node move/join/leave operations. We also show how to extend our dynamic compact routing scheme to address the more general problem of devising locality-sensitive Distributed Hash Tables (DHTs) in dynamic networks of low doubling dimension. Our proposed DHT scheme also has optimal (9 + ε) stretch, polylogarithmic storage overhead (and degree) at the nodes, locality-sensitive publish/unpublish and node move/join/leave operations.

Original languageEnglish (US)
Title of host publicationDistributed Computing - 22nd International Symposium, DISC 2008, Proceedings
Pages379-393
Number of pages15
DOIs
StatePublished - Nov 26 2008
Event22nd International Symposium on Distributed Computing, DISC 2008 - Arcachon, France
Duration: Sep 22 2008Sep 24 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5218 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other22nd International Symposium on Distributed Computing, DISC 2008
CountryFrance
CityArcachon
Period9/22/089/24/08

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Konjevod, G., Richa, A., & Xia, D. (2008). Dynamic routing and location services in metrics of low doubling dimension. In Distributed Computing - 22nd International Symposium, DISC 2008, Proceedings (pp. 379-393). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5218 LNCS). https://doi.org/10.1007/978-3-540-87779-0_26