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» Algorithms for trigonometric polynomials
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116
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SODA
2003
ACM
143views Algorithms» more  SODA 2003»
15 years 2 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
84
Voted
ALDT
2009
Springer
110views Algorithms» more  ALDT 2009»
15 years 7 months ago
Manipulating Tournaments in Cup and Round Robin Competitions
In sports competitions, teams can manipulate the result by, for instance, throwing games. We show that we can decide how to manipulate round robin and cup competitions, two of the ...
Tyrel Russell, Toby Walsh
113
Voted
ISSAC
1995
Springer
119views Mathematics» more  ISSAC 1995»
15 years 4 months ago
The Singular Value Decomposition for Polynomial Systems
This paper introduces singular value decomposition (SVD) algorithms for some standard polynomial computations, in the case where the coefficients are inexact or imperfectly known....
Robert M. Corless, Patrizia M. Gianni, Barry M. Tr...
85
Voted
STOC
2010
ACM
174views Algorithms» more  STOC 2010»
15 years 10 months ago
Towards Polynomial Lower Bounds for Dynamic Problems
We consider a number of dynamic problems with no known poly-logarithmic upper bounds, and show that they require n(1) time per operation, unless 3SUM has strongly subquadratic alg...
Mihai Patrascu
ESA
2008
Springer
101views Algorithms» more  ESA 2008»
15 years 2 months ago
Faster Steiner Tree Computation in Polynomial-Space
Given an n-node graph and a subset of k terminal nodes, the NP-hard Steiner tree problem is to compute a minimum-size tree which spans the terminals. All the known algorithms for t...
Fedor V. Fomin, Fabrizio Grandoni, Dieter Kratsch