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» Tight lower bounds for the size of epsilon-nets
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FOCS
2010
IEEE
13 years 2 months ago
A Non-linear Lower Bound for Planar Epsilon-Nets
We show that the minimum possible size of an -net for point objects and line (or rectangle)ranges in the plane is (slightly) bigger than linear in 1/ . This settles a problem rais...
Noga Alon
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
CORR
2010
Springer
109views Education» more  CORR 2010»
12 years 11 months ago
Tight lower bounds for the size of epsilon-nets
János Pach, Gábor Tardos
STOC
2012
ACM
217views Algorithms» more  STOC 2012»
11 years 7 months ago
Tight lower bounds for the online labeling problem
We consider the file maintenance problem (also called the online labeling problem) in which n integer items from the set {1, . . . , r} are to be stored in an array of size m ≥...
Jan Bulánek, Michal Koucký, Michael ...
ICALP
2005
Springer
13 years 10 months ago
Tight Lower Bounds for Query Processing on Streaming and External Memory Data
We study a clean machine model for external memory and stream processing. We show that the number of scans of the external data induces a strict hierarchy (as long as work space is...
Martin Grohe, Christoph Koch, Nicole Schweikardt