Papillon: Greedy Routing in Rings

dc.creatorAbraham, Ittai
dc.creatorMalkhi, Dahlia
dc.creatorManku, Gurmeet Singh
dc.date2005-07-14
dc.date.accessioned2026-07-07T03:23:13Z
dc.date.available2026-07-07T03:23:13Z
dc.descriptionWe study {\sc greedy} routing over $n$ nodes placed in a ring, with the \emph{distance} between two nodes defined to be the clockwise or the absolute distance between them along the ring. Such graphs arise in the context of modeling social networks and in routing networks for peer-to-peer systems. We construct the first network over $n$ nodes in which {\sc greedy} routing takes $O(\log n / \log d)$ hops in the worst-case, with $d$ out-going links per node. Our result has the first asymptotically optimal greedy routing complexity. Previous constructions required $O(\frac{\log^2 n}{d})$ hops.
dc.identifierhttps://arxiv.org/abs/cs/0507034
dc.identifierhttp://arxiv.org/abs/cs/0507034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32857
dc.subjectDistributed, Parallel, and Cluster Computing
dc.subjectNetworking and Internet Architecture
dc.titlePapillon: Greedy Routing in Rings
dc.typetext

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