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» Positive Versions of Polynomial Time
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CC
2006
Springer
147views System Software» more  CC 2006»
13 years 11 months ago
Complexity of Ring Morphism Problems
Abstract. We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem...
Neeraj Kayal, Nitin Saxena
ICALP
2005
Springer
14 years 4 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek
JSC
2010
99views more  JSC 2010»
13 years 9 months ago
Faster algorithms for computing Hong's bound on absolute positiveness
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
Kurt Mehlhorn, Saurabh Ray
COCO
1993
Springer
78views Algorithms» more  COCO 1993»
14 years 3 months ago
The Quantitative Structure of Exponential Time
Recently Lutz [14,15] introduced a polynomial time bounded version of Lebesgue measure. He and others (see e.g. [11,13,14,15,16,17,18,20]) used this concept to investigate the quan...
Jack H. Lutz
IPCO
2008
129views Optimization» more  IPCO 2008»
14 years 9 days ago
A Polynomial Time Approximation Scheme for the Square Packing Problem
Given a set Q of squares with positive pro ts, the square packing problem is to select and pack a subset of squares of maximum pro t into a rectangular bin R. We present a polynomi...
Klaus Jansen, Roberto Solis-Oba