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» Factoring polynomials via polytopes
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COMPGEOM
2007
ACM
13 years 9 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 11 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
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
13 years 11 months ago
Absolute polynomial factorization in two variables and the knapsack problem
A recent algorithmic procedure for computing the absolute factorization of a polynomial P(X, Y ), after a linear change of coordinates, is via a factorization modulo X3 . This was...
Guillaume Chèze
SIAMDM
2010
101views more  SIAMDM 2010»
13 years 11 days ago
Rationality and Strongly Polynomial Solvability of Eisenberg--Gale Markets with Two Agents
Inspired by the convex program of Eisenberg and Gale which captures Fisher markets with linear utilities, Jain and Vazirani [STOC, 2007] introduced the class of EisenbergGale (EG)...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....