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SODA
2003
ACM
143views Algorithms» more  SODA 2003»
13 years 11 months ago
Deterministic identity testing for multivariate polynomials
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
Richard J. Lipton, Nisheeth K. Vishnoi
CORR
2010
Springer
137views Education» more  CORR 2010»
13 years 10 months ago
Local algorithms in (weakly) coloured graphs
A local algorithm is a distributed algorithm that completes after a constant number of synchronous communication rounds. We present local approximation algorithms for the minimum ...
Matti Åstrand, Valentin Polishchuk, Joel Ryb...
CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 10 months ago
Arithmetic circuits: the chasm at depth four gets wider
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
Pascal Koiran
CORR
2010
Springer
139views Education» more  CORR 2010»
13 years 10 months ago
Molecular Communication Using Brownian Motion with Drift
Inspired by biological communication systems, molecular communication has been proposed as a viable scheme to communicate between nano-sized devices separated by a very short dist...
Sachin Kadloor, Raviraj S. Adve, Andrew W. Eckford
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 10 months ago
Bit-size estimates for triangular sets in positive dimension
We give bit-size estimates for the coefficients appearing in triangular sets describing positive-dimensional algebraic sets defined over Q. These estimates are worst case upper bo...
Xavier Dahan, Abdulilah Kadri, Éric Schost