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TCS
2008
13 years 4 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 4 months ago
The Power of Nondeterminism in Self-Assembly
tigate the role of nondeterminism in Winfree's abstract Tile Assembly Model (aTAM), which was conceived to model artificial molecular self-assembling systems constructed from...
Nathaniel Bryans, Ehsan Chiniforooshan, David Doty...
JAL
2008
74views more  JAL 2008»
13 years 4 months ago
Solving satisfiability in the tile assembly model with a constant-size tileset
Biological systems are far more complex and robust than systems we can engineer today. One way to increase the complexity and robustness of our engineered systems is to study how ...
Yuriy Brun
TCS
2008
13 years 4 months ago
Solving NP-complete problems in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, a highly distributed parallel model of computation that may be implemented using molecules ...
Yuriy Brun
SODA
2012
ACM
212views Algorithms» more  SODA 2012»
11 years 7 months ago
Parallelism and time in hierarchical self-assembly
We study the role that parallelism plays in time complexariants of Winfree’s abstract Tile Assembly Model (aTAM), a model of molecular algorithmic self-assembly. In the “hiera...
Ho-Lin Chen, David Doty