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...
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....
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...
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....