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» Two lower bounds for self-assemblies at temperature 1
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SAC
2009
ACM
14 years 6 months ago
Two lower bounds for self-assemblies at temperature 1
Abstract—Using the Tile Assembly Model proposed by Rothemund and Winfree, we give two lower bounds on the minimum number of tile types needed to uniquely assemble a shape at temp...
Ján Manuch, Ladislav Stacho, Christine Stol...
CCCG
2010
14 years 18 days ago
A new algorithm and improved lower bound for point placement on a line in two rounds
In this paper we show how to construct in 2 rounds a line-rigid point placement graph of size 4n/3+O(1) from small graphs called 6:6 jewels, an extension of the 4:4 jewel of [3]. ...
Md. Shafiul Alam, Asish Mukhopadhyay
AOR
2006
99views more  AOR 2006»
13 years 11 months ago
On-line bin Packing with Two Item Sizes
The problem of on-line bin packing restricted to instances with only two item sizes (known in advance) has a well-known lower bound of 4/3 for its asymptotic competitive ratio. We...
Gregory Gutin, Tommy R. Jensen, Anders Yeo
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 11 months ago
Adversary lower bounds for nonadaptive quantum algorithms
We present two general methods for proving lower bounds on the query complexity of nonadaptive quantum algorithms. Both methods are based on the adversary method of Ambainis. We sh...
Pascal Koiran, Jürgen Landes, Natacha Portier...
COMPGEOM
2006
ACM
14 years 5 months ago
Lower bounds on locality sensitive hashing
Given a metric space (X, dX), c ≥ 1, r > 0, and p, q ∈ [0, 1], a distribution over mappings H : X → N is called a (r, cr, p, q)-sensitive hash family if any two points in...
Rajeev Motwani, Assaf Naor, Rina Panigrahy