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We present a nearly-linear time algorithm that produces high-quality sparsifiers of weighted graphs.
Random walks and electric networks
P. Doyle and J. Snell · 1984
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Extensions of Lipschitz mappings into a Hilbert space
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Graph partitioning using single commodity flows
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Nearly-linear time algorithms for preconditioning and solving symmetric, diagonally dominant linear systems
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Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation
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Sampling from large matrices: An approach through geometric functional analysis
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A. Frieze, R. Kannan, and S. Vempala · 2004
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Nearly-linear time algorithms for graph partitioning, graph sparsification, and solving linear systems
D. A. Spielman and S.-H. Teng · 2004
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Spectral Sparsification of Graphs
D. A. Spielman and S.-H. Teng · 2008
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Twice-Ramanujan sparsifiers
Joshua D. Batson, Daniel A. Spielman, and Nikhil Srivastava · 2009
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