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» Approximate counting in bounded arithmetic
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COMPGEOM
1992
ACM
14 years 20 days ago
A Subexponential Bound for Linear Programming
We present a simple randomized algorithm which solves linear programs with n constraints and d variables in expected minfO(d 22dn); e 2 pdln(n= p d)+O( p d+lnn)g time in the unit ...
Jirí Matousek, Micha Sharir, Emo Welzl
CIAC
2006
Springer
135views Algorithms» more  CIAC 2006»
14 years 9 days ago
Approximation Algorithms for Capacitated Rectangle Stabbing
In the rectangle stabbing problem we are given a set of axis parallel rectangles and a set of horizontal and vertical lines, and our goal is to find a minimum size subset of lines...
Guy Even, Dror Rawitz, Shimon Shahar
ESA
2008
Springer
153views Algorithms» more  ESA 2008»
13 years 10 months ago
A Constant-Approximate Feasibility Test for Multiprocessor Real-Time Scheduling
We devise the first constant-approximate feasibility test for sporadic multiprocessor real-time scheduling. We give an algorithm that, given a task system and > 0, correctly de...
Vincenzo Bonifaci, Alberto Marchetti-Spaccamela, S...
CSL
2008
Springer
13 years 10 months ago
Proving Infinitude of Prime Numbers Using Binomial Coefficients
We study the problem of proving in weak theories of Bounded Arithmetic the theorem that there are arbitrarily large prime numbers. We show that the theorem can be proved by some &...
Phuong Nguyen
BSL
2000
153views more  BSL 2000»
13 years 8 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon