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SODA
2012
ACM
240views Algorithms» more  SODA 2012»
11 years 10 months ago
Constructing high order elements through subspace polynomials
Every finite field has many multiplicative generators. However, finding one in polynomial time is an important open problem. In fact, even finding elements of high order has n...
Qi Cheng, Shuhong Gao, Daqing Wan
ICALP
2001
Springer
13 years 12 months ago
On the Approximability of Average Completion Time Scheduling under Precedence Constraints
Abstract. We consider the scheduling problem of minimizing the average weighted job completion time on a single machine under precedence constraints. We show that this problem with...
Gerhard J. Woeginger
CORR
2010
Springer
69views Education» more  CORR 2010»
13 years 7 months ago
Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
In this paper we study planar polynomial differential systems of this form: dX dt = X = A(X, Y ), dY dt = Y = B(X, Y ), where A, B Z[X, Y ] and deg A d, deg B d, A H and B H. ...
Guillaume Chèze
ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
12 years 10 months ago
Practical polynomial factoring in polynomial time
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
William Hart, Mark van Hoeij, Andrew Novocin
CIE
2008
Springer
13 years 9 months ago
Linear, Polynomial or Exponential? Complexity Inference in Polynomial Time
Amir M. Ben-Amram, Neil D. Jones, Lars Kristiansen