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» Positive Versions of Polynomial Time
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JAT
2002
50views more  JAT 2002»
14 years 9 months ago
Blumenthal's Theorem for Laurent Orthogonal Polynomials
We investigate polynomials satisfying a three-term recurrence relation of the form Bn(x) = (x - n)Bn-1(x) - nxBn-2(x), with positive recurrence coefficients n+1, n (n = 1, 2, . . ...
A. Sri Ranga, Walter Van Assche
COCO
1998
Springer
103views Algorithms» more  COCO 1998»
15 years 2 months ago
Nonrelativizing Separations
We show that MAEXP, the exponential time version of the Merlin-Arthur class, does not have polynomial size circuits. This significantly improves the previous known result due to K...
Harry Buhrman, Lance Fortnow, Thomas Thierauf
MOC
1998
98views more  MOC 1998»
14 years 9 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
SPAA
2005
ACM
15 years 3 months ago
Parallelizing time with polynomial circuits
We study the problem of asymptotically reducing the runtime of serial computations with circuits of polynomial size. We give an algorithmic size-depth tradeoff for parallelizing ...
Ryan Williams
IVC
2000
179views more  IVC 2000»
14 years 9 months ago
A system to place observers on a polyhedral terrain in polynomial time
The Art Gallery Problem deals with determining the number of observers necessary to cover an art gallery room such that every point is seen by at least one observer. This problem ...
Maurício Marengoni, Bruce A. Draper, Allen ...