Link Delay Estimation via Expander Graphs
نویسندگان
چکیده
منابع مشابه
Data Stream Algorithms via Expander Graphs
We present a simple way of designing deterministic algorithms for problems in the data stream model via lossless expander graphs. We illustrate this by considering two problems, namely, k-sparsity testing and estimating frequency of items.
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Let AG be the adjacency matrix of G. Let λ1 ≥ λ2 ≥ . . . ≥ λn be the eigenvalues of AG. Sometimes we will also be interested in the Laplacian matrix of G. This is defined to be LG = D−AG, where D is the diagonal matrix where Dvv equals the degree of the vertex v. For d-regular graphs, LG = dI −AG, and hence the eigenvalues of LG are d− λ1, d− λ2, . . . , d− λn. Lemma 1. • λ1 = d. • λ2 = λ3 = . ...
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Let G = (V,E) be an undirected d-regular graph, here, |V | = n, deg(u) = d for all u ∈ V . We will typically interpret the properties of expander graphs in an asymptotic sense. That is, there will be an infinite family of graphs G, with a growing number of vertices n. By “sparse”, we mean that the degree d of G should be very slowly growing as a function of n. When n goes to infinity (n → ∞), d...
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An important issue in the measurement of networks is the ability to infer characteristics of internal network links from measurements made on end-to-end paths. It may be impractical in terms of equipment, time or cost to monitor each individual link but it is often feasible to monitor a number of existing paths. Provided there is enough traffic flowing through enough different paths then it is ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Communications
سال: 2014
ISSN: 0090-6778
DOI: 10.1109/tcomm.2013.112413.120750