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CORR
1999
Springer
65views Education» more  CORR 1999»
13 years 9 months ago
Unambiguous Computation: Boolean Hierarchies and Sparse Turing-Complete Sets
It is known that for any class C closed under union and intersection, the Boolean closure of C, the Boolean hierarchy over C, and the symmetric difference hierarchy over C all are ...
Lane A. Hemaspaandra, Jörg Rothe
JOC
2010
96views more  JOC 2010»
13 years 4 months ago
On the Efficient Generation of Prime-Order Elliptic Curves
We consider the generation of prime-order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
MFCS
2005
Springer
14 years 3 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
COCO
2005
Springer
128views Algorithms» more  COCO 2005»
14 years 3 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
MOC
2011
13 years 5 months ago
Regeneration homotopies for solving systems of polynomials
We present a new technique, based on polynomial continuation, for solving systems of n polynomials in N complex variables. The method allows equations to be introduced one-by-one o...
Jonathan D. Hauenstein, Andrew J. Sommese, Charles...