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» The Complexity of the Annihilating Polynomial
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FOCS
1991
IEEE
15 years 10 months ago
A General Approach to Removing Degeneracies
We wish to increase the power of an arbitrary algorithm designed for non-degenerate input, by allowing it to execute on all inputs. We concentrate on in nitesimal symbolic perturba...
Ioannis Z. Emiris, John F. Canny
CORR
2011
Springer
158views Education» more  CORR 2011»
15 years 1 months ago
SqFreeEVAL: An (almost) optimal real-root isolation algorithm
Let f be a univariate polynomial with real coefficients, f ∈ R[X]. Subdivision algorithms based on algebraic techniques (e.g., Sturm or Descartes methods) are widely used for is...
Michael Burr, Felix Krahmer
ICALP
2009
Springer
16 years 6 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams
APPROX
2005
Springer
94views Algorithms» more  APPROX 2005»
15 years 12 months ago
Testing Periodicity
A string α ∈ Σn is called p-periodic, if for every i, j ∈ {1, . . . , n}, such that i ≡ j mod p, αi = αj, where αi is the i-th place of α. A string α ∈ Σn is said t...
Oded Lachish, Ilan Newman
AINA
2010
IEEE
15 years 11 months ago
A Quadratic, Complete, and Minimal Consistency Diagnosis Process for Firewall ACLs
— Developing and managing firewall Access Control Lists (ACLs) are hard, time-consuming, and error-prone tasks for a variety of reasons. Complexity of networks is constantly incr...
Sergio Pozo, A. J. Varela-Vaca, Rafael M. Gasca