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• W1921531012 abstract "Previous chapter Next chapter Full AccessProceedings 2009 Proceedings of the Workshop on Analytic Algorithmics and Combinatorics (ANALCO)Average size of unstretched Remote-SpannersPhilippe Jacquet and Laurent ViennotPhilippe Jacquet and Laurent Viennotpp.23 - 33Chapter DOI:https://doi.org/10.1137/1.9781611972993.4PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstract Motivated by the optimization of link state routing in ad hoc networks, and the concept of multipoint relays, we introduce the notion of remote-spanner. Given an unweighted graph G, a remote spanner is a set of links H such that for any pair of nodes (u, v) there exists a shortest path in G for which all links in the path that are not adjacent to u belong to H. The remote spanner is a kind of minimal topology information beyond its neighborhood that any node would need in order to compute its shortest paths in a distributed way. This can be extended to k-connected graphs by considering minimum length sum over k disjoint paths as distance. In this paper, we give distributed algorithms for computing remote-spanners in order to obtain sparse remote-spanners with various properties. We provide a polynomial distributed algorithm that computes a k-connecting unstretched remote-spanner whose number of edges is at a factor 2(1 + logΔ) from optimal where Δ is the maximum degree of a node. Interestingly, its expected compression ratio in number of edges is in Erdös-Rényi graph model and in the unit disk graph model with a uniform Poisson distribution of nodes. Previous chapter Next chapter RelatedDetails Published:2009ISBN:978-0-89871-932-1eISBN:978-1-61197-299-3 https://doi.org/10.1137/1.9781611972993Book Series Name:ProceedingsBook Code:PRAN09Book Pages:" @default.
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• W1921531012 date "2009-01-03" @default.
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• W1921531012 title "Average size of unstretched Remote-Spanners" @default.
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• W1921531012 doi "https://doi.org/10.1137/1.9781611972993.4" @default.
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