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VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/97
Title: Lower-Bound study for function computation in distributed networks via vertex-eccentricity
Authors: H.K. Dai 
Michel Toulouse 
Keywords: Distributed function computation;Linear iterative schemes;Information dissemination;Finite convergence;Vertex-eccentricity
Issue Date: 2019
Publisher: Springer Link
Journal/Book titles: SN Computer Science 
Series/Report no.: SN Computer Science;
Abstract: 
Distributed computing network-systems are modeled as graphs with vertices representing compute elements and adjacencyedges capturing their uni- or bi-directional communication. Distributed function computation has a wide spectrum of major
applications in distributed systems. Distributed computation over a network-system proceeds in a sequence of time-steps in which vertices update and/or exchange their values based on the underlying algorithm constrained by the time-(in)variant
network-topology. For fnite convergence of distributed information dissemination and function computation in the model, we present a lower bound on the number of time-steps for vertices to receive (initial) vertex-values of all vertices regardless of underlying protocol or algorithmics in time-invariant networks via the notion of vertex-eccentricity in a graph-theoretic framework. We also address lower bounds on vertex-eccentricity and its maximum version in terms of common graphparameters such as maximum degree, and order and size.
p.1-10
Index & Ranking: International Journal
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/97
DOI: 10.1007/s42979-019-0002-3
Appears in Collections:ARTICLE/BOOK PUBLICATION

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