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CCCG
2010
13 years 6 months ago
Small strong epsilon nets
In this paper, we initiate the study of small strong nets and prove bounds for axis-parallel rectangles, half spaces, strips and wedges. We also give some improved bounds for smal...
Pradeesha Ashok, Sathish Govindarajan, Janardhan K...
CCCG
2006
13 years 6 months ago
Small Weak Epsilon-Nets in Three Dimensions
We study the problem of finding small weak -nets in three dimensions and provide new upper and lower bounds on the value of for which a weak -net of a given small constant size e...
Maryam Babazadeh, Hamid Zarrabi-Zadeh
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
14 years 5 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
COMPGEOM
2009
ACM
13 years 11 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
ECMDAFA
2009
Springer
170views Hardware» more  ECMDAFA 2009»
13 years 11 months ago
A Model Driven Approach to the Analysis of Timeliness Properties
The need for a design language that is rigorous but accessible and intuitive is often at odds with the formal and mathematical nature of languages used for analysis. UML and Petri ...
Mohamed Ariff Ameedeen, Behzad Bordbar, Rachid Ana...