Solving sparse linear equations over finite fields
IEEE Transactions on Information Theory
An augmenting path algorithm for linear matroid parity
Combinatorica
Improved bounds for matroid partition and intersection algorithms
SIAM Journal on Computing
Matrix multiplication via arithmetic progressions
Journal of Symbolic Computation - Special issue on computational algebraic complexity
Efficient theoretic and practical algorithms for linear matroid intersection problems
Journal of Computer and System Sciences
Rectangular matrix multiplication revisited
Journal of Complexity
Randomized $\tilde{O}(M(|V|))$ Algorithms for Problems in Matching Theory
SIAM Journal on Computing
Fast rectangular matrix multiplication and applications
Journal of Complexity
Proceedings of the 1st Integer Programming and Combinatorial Optimization Conference
On Wiedemann's Method of Solving Sparse Linear Systems
AAECC-9 Proceedings of the 9th International Symposium, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Modern Computer Algebra
Maximum skew-symmetric flows and matchings
Mathematical Programming: Series A and B
Maximum Matchings via Gaussian Elimination
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Dynamic Transitive Closure via Dynamic Matrix Inverse (Extended Abstract)
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Improved Approximation Algorithms for Large Matrices via Random Projections
FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
An Õ(mn) Gomory-Hu tree construction algorithm for unweighted graphs
Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
Faster dynamic matchings and vertex connectivity
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
An O(v|v| c |E|) algoithm for finding maximum matching in general graphs
SFCS '80 Proceedings of the 21st Annual Symposium on Foundations of Computer Science
Integer matrix rank certification
Proceedings of the 2009 international symposium on Symbolic and algebraic computation
Algebraic Algorithms for Matching and Matroid Problems
SIAM Journal on Computing
ESA'07 Proceedings of the 15th annual European conference on Algorithms
Fast algorithms for finding matchings in lopsided bipartite graphs with applications to display ads
Proceedings of the 11th ACM conference on Electronic commerce
Algebraic Complexity Theory
Graph Connectivities, Network Coding, and Expander Graphs
FOCS '11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
An almost optimal unrestricted fast Johnson-Lindenstrauss transform
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
Algebraic algorithms for linear matroid parity problems
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
IEEE Transactions on Information Theory
A Random Linear Network Coding Approach to Multicast
IEEE Transactions on Information Theory
Low rank approximation and regression in input sparsity time
Proceedings of the forty-fifth annual ACM symposium on Theory of computing
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We consider the problem of computing the rank of an mxn matrix A over a field. We present a randomized algorithm to find a set of r = rank(A) linearly independent columns in O(|A| + rw) field operations, where |A| denotes the number of nonzero entries in A and w w). Our algorithm is faster when r