Deciding efficiently the emptiness of a real algebraic set defined by a single equation is a fundamental problem of computational real algebraic geometry. We propose an algorithm ...
A common subproblem of DNF approximate counting and derandomizing RL is the discrepancy problem for combinatorial rectangles. We explicitly construct a poly(n)-size sample space t...
Roy Armoni, Michael E. Saks, Avi Wigderson, Shiyu ...
Given a finite set of points S in Rd , consider visiting the points in S with a polygonal path which makes a minimum number of turns, or equivalently, has the the minimum number o...
Sergey Bereg, Prosenjit Bose, Adrian Dumitrescu, F...
In the minimum entropy set cover problem, one is given a collection of k sets which collectively cover an n-element ground set. A feasible solution of the problem is a partition o...