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We study algorithms for spectral graph sparsification.
Applications of path compression on balanced trees
Robert Endre Tarjan · 1979
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A linear-time algorithm for a special case of disjoint set union
Harold N. Gabow and Robert Endre Tarjan · 1983
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Approximating s s - t t minimum cuts in O ( n 2 ) {O}(n^{2}) time
András A. Benczúr and David R. Karger · 1996
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Linear time deterministic algorithm for computing spanners for unweighted graphs
Eran Halperin and Uri Zwick · 1996
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Better random sampling algorithms for flows in undirected graphs
David R. Karger · 1998
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Database-friendly random projections
Dimitris Achlioptas · 2001
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Nearly-linear time algorithms for graph partitioning, graph sparsification, and solving linear systems
Daniel A. Spielman and Shang-Hua Teng · 2004
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Nearly-linear time algorithms for preconditioning and solving symmetric, diagonally dominant linear systems
Daniel A. Spielman and Shang-Hua Teng · 2006
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Random walks and local cuts in graphs
Fan Chung · 2007
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Combinatorial and algebraic tools for optimal multilevel algorithms
Ioannis Koutis · 2007
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Graph sparsification by effective resistances
Daniel A. Spielman and Nikhil Srivastava · 2008
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Approaching optimality for solving SDD systems
Ioannis Koutis, Gary L. Miller, and Richard Peng · 2010
Later among the works it cites.
A general framework for graph sparsification
Wai Shing Fung, Ramesh Hariharan, Nicholas J. A. Harvey, and Debmalya Panigrahi · 2011
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A nearly- m log n m\log n solver for SDD linear systems
Ioannis Koutis, Gary L. Miller, and Richard Peng · 2011
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Using petal-decompositions to build a low stretch spanning tree
Ittai Abraham and Ofer Neiman · 2012
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Improved spectral sparsification and numerical algorithms for sdd matrices
Ioannis Koutis, Alex Levin, and Richard Peng · 2012
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Spectral sparsification in the semi-streaming setting
JonathanA. Kelner and Alex Levin · 2013
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Daniel A. Spielman and Jaeoh Woo · 2009
Cited alongside, same era.