Determination of the Topology of a Directed Network

dc.creatorGoldstein, Darin
dc.date2003-10-05
dc.date.accessioned2026-07-07T03:20:23Z
dc.date.available2026-07-07T03:20:23Z
dc.descriptionWe consider strongly-connected directed networks of identical synchronous, finite-state processors with in- and out-degree uniformly bounded by a network constant. Via a straightforward extension of Ostrovsky and Wilkerson's Backwards Communication Algorithm in [OW], we exhibit a protocol which solves the Global Topology Determination Problem, the problem of having the root processor map the global topology of a network of unknown size and topology, with running time O(ND) where N represents the number of processors and D represents the diameter of the network. A simple counting argument suffices to show that the Global Topology Determination Problem has time-complexity Omega(N logN) which makes the protocol presented asymptotically time-optimal for many large networks.
dc.description9 pages, no figures, accepted to appear in IPDPS 2002 (unable to attend), (journal version to appear in Information Processing Letters)
dc.identifierhttps://arxiv.org/abs/cs/0310004
dc.identifierhttp://arxiv.org/abs/cs/0310004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/31811
dc.subjectDistributed, Parallel, and Cluster Computing
dc.subjectData Structures and Algorithms
dc.subjectC.2.1; C.2.2; E.1
dc.titleDetermination of the Topology of a Directed Network
dc.typetext

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