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ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 2 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran
ICCAD
1996
IEEE
144views Hardware» more  ICCAD 1996»
14 years 28 days ago
Validation coverage analysis for complex digital designs
The functional validation of a state-of-the-art digital design is usually performed by simulation of a register-transfer-level model. The degree to which the testvector suite cove...
Richard C. Ho, Mark Horowitz
APPROX
2008
Springer
119views Algorithms» more  APPROX 2008»
13 years 10 months ago
The Complexity of Distinguishing Markov Random Fields
Abstract. Markov random fields are often used to model high dimensional distributions in a number of applied areas. A number of recent papers have studied the problem of reconstruc...
Andrej Bogdanov, Elchanan Mossel, Salil P. Vadhan
DAM
2008
131views more  DAM 2008»
13 years 8 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
JC
2008
77views more  JC 2008»
13 years 8 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...