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ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 7 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
COMCOM
2002
80views more  COMCOM 2002»
13 years 9 months ago
MAMCRA: a constrained-based multicast routing algorithm
Multicast routing algorithms that are capable of providing quality of service (QoS) to its members will play an important role in future communication networks. This paper discuss...
Fernando A. Kuipers, Piet Van Mieghem
JACM
2002
83views more  JACM 2002»
13 years 9 months ago
Fast context-free grammar parsing requires fast boolean matrix multiplication
In 1975, Valiant showed that Boolean matrix multiplication can be used for parsing contextfree grammars (CFGs), yielding the asympotically fastest (although not practical) CFG par...
Lillian Lee
MST
2007
121views more  MST 2007»
13 years 9 months ago
Chinese Remaindering with Multiplicative Noise
We use lattice reduction to obtain a polynomial time algorithm for recovering an integer (up to a multiple) given multiples of its residues modulo sufficiently many primes, when t...
Igor Shparlinski, Ron Steinfeld
FOCS
2010
IEEE
13 years 7 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster