Hypergraph sparsifiers of nearly linear size
WebSpectral Hypergraph Sparsifiers of Nearly Linear Size∗ Michael Kapralov† École Polytechnique Fédérale de Lausanne Lausanne, Switzerland [email protected] … WebExact Flow Sparsification Requires Unbounded Size Robert Krauthgamer and Ron Mosenzon. Given a large edge-capacitated network G and a subset of k vertices called terminals, an (exact) flow sparsifier is a small network G′ that preserves (exactly) all multicommodity flows that can be routed between the terminals.
Hypergraph sparsifiers of nearly linear size
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Webgives a hypergraph cut sparsifier of size O˜(n 2/ε), which is a factor of n larger than the Benczur-Karger´ bound for graphs. Chekuri and Xu [11] designed a more efficient … WebNear-linear size hypergraph cut sparsifiers, by Chen, Khanna, Nagda. Spectral hypergraph sparsifiers of nearly linear size, by Kapralov, Krauthgamer, Tardos, …
Web7 feb. 2024 · The problem of sparsifying a graph or a hypergraph while approximately preserving its cut structure has been extensively studied and has many applications. In a … WebWe prove that every graph has a spectral sparsifier with a number of edges linear in its number of vertices. As linear-sized spectral sparsifiers of complete graphs are expanders, our sparsifiers o...
WebNear-linear Size Hypergraph Cut Sparsifiers (cs.DS updates on arXiv.org) http://arxiv.org/abs/2009.04992 WebSpectral hypergraph sparsification is a natural analogue of this problem, for which optimal bounds on the sparsifier size are not known, mainly because the hypergraph Laplacian …
WebFinally, for directed hypergraphs, we present an algorithm that computes an є-spectral sparsifier with O* ( n2r3) hyperarcs, where r is the maximum size of a hyperarc. For small r, this improves over O* ( n3) known from [Soma and Yoshida, SODA’19], and is getting close to the trivial lower bound of Ω ( n2) hyperarcs. References Noga Alon. 1986.
WebGraph sparsification has been studied extensively over the past two decades, culminating in spectral sparsifiers of optimal size (up to constant factors). Spectral hypergraph … egg cell without microscopeWebThis result is obtained by introducing two new tools. First, we give a new proof of spectral concentration bounds for sparsifiers of graphs; it avoids linear-algebraic methods, … eggceptional mechanic fallshttp://chekuri.cs.illinois.edu/papers/hypergraph-cuts-sicomp.pdf eggcentris tests pricesWebcan be as large as n, in general, this gives a hypergraph cut sparsifier of size O˜(n2/ε2), which is a factor of n larger than the Benczr-Karger bound for graphs. Chekuri and Xu … eggceptional donor groupWeb1 nov. 2024 · The related concept of hypergraph sparsification has received a lot of attention in the literature recently, with nearly optimal size sparsifiers obtained in … foldable bar chair woodWebIn mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.In contrast, in an ordinary graph, an edge connects exactly two … egg cell what does it doWebNear-linear Size Hypergraph Cut Sparsifiers. lightbulb_outline bookmark_border Yu Chen, Sanjeev Khanna, Ansh Nagda Cuts in graphs are a fundamental object of study, … egg central egg cooker manual