2014
Twice-Ramanujan Sparsifiers
Batson J, Spielman D, Srivastava N. Twice-Ramanujan Sparsifiers. SIAM Review 2014, 56: 315-334. DOI: 10.1137/130949117.Peer-Reviewed Original ResearchSpectral sparsifierLaplacian matrixPositive semidefinite matricesNonnegative diagonal matrixNumber of edgesNumber of verticesDeterministic polynomial time algorithmGeneral theoremSemidefinite matricesNonzero entriesPolynomial time algorithmSparse graphsDiagonal matrixQuadratic formSparse approximationSparsifiersWeighted graphReal matricesSpecial caseTime algorithmGraphVerticesMatrixTheoremApproximation
1994
The power of adaptiveness and additional queries in random-self-reductions
Feigenbaum J, Fortnow L, Lund C, Spielman D. The power of adaptiveness and additional queries in random-self-reductions. Computational Complexity 1994, 4: 158-174. DOI: 10.1007/bf01202287.Peer-Reviewed Original Research