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JC
2000
78views more  JC 2000»
15 years 6 months ago
Finding at Least One Point in Each Connected Component of a Real Algebraic Set Defined by a Single Equation
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 ...
Fabrice Rouillier, Marie-Françoise Roy, Moh...
FOCS
1996
IEEE
15 years 10 months ago
Discrepancy Sets and Pseudorandom Generators for Combinatorial Rectangles
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 ...
COMPGEOM
2007
ACM
15 years 10 months ago
Traversing a set of points with a minimum number of turns
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...
APPROX
2006
Springer
130views Algorithms» more  APPROX 2006»
15 years 10 months ago
Tight Results on Minimum Entropy Set Cover
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...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret
EUSFLAT
2003
161views Fuzzy Logic» more  EUSFLAT 2003»
15 years 7 months ago
Intuitionistic fuzzy sets: past, present and future
Remarks on history, theory, and applications of intuitionistic fuzzy sets are given. Some open problems are introduced.
Krassimir T. Atanassov